侧向卸荷下煤岩分煤结构粘滑失稳特性的数值研究

IF 1.8 4区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS
Heng Zhang, Guang-Jian Liu, Xian-Jun Ji, Wen-Hao Cao, Ya-Wei Zhu, Sher Bacha
{"title":"侧向卸荷下煤岩分煤结构粘滑失稳特性的数值研究","authors":"Heng Zhang, Guang-Jian Liu, Xian-Jun Ji, Wen-Hao Cao, Ya-Wei Zhu, Sher Bacha","doi":"10.2113/2024/lithosphere_2023_172","DOIUrl":null,"url":null,"abstract":"Unloading excavation can increase the possibility of rock burst, especially for coal seam with rock parting. In order to explore the evolution process of rock burst under lateral unloading, the combination of in situ measures and numerical experiments is used to study. The following four points were addressed: (1) the coal seam with rock parting easily causes the stick-slip and instability along the interface, and the process of stick-slip and instability has hysteresis characteristics; (2) the greater the degree of unloading or the smaller the interface friction angle of the Coal-Rock Parting-Coal Structure (CRCS), the more likely it is for stick-slip and instability to occur; (3) the abnormal increase of shear stress and slip dissipation energy can be used as the precursory information of the stick-slip and instability of CRCS; (4) the damage intensity of rock burst induced by stick-slip and instability of CRCS can be reduced by reducing the unloading speed or increasing the roughness of interface. The research results can be used for early warning and controlling of dynamic disaster induced by stick-slip instability in coal seam with rock parking.The slip-staggered rock burst is caused by the slip dislocation of the internal related structure, which mainly occurs in the fault, coal seam separation, and abnormal change area of coal seam dip angle. The coal seam separation is a typical occurrence structure in coal mines of China, which causes the transformation of coal and rock structures, and commonly the Coal-Rock Parting-Coal Structure (CRCS) is formed by rock parting upper and lower coal seams [1, 2]. The natural CRCS is in a stable triaxial stress state. The process of roadway excavation can cause the redistribution of surrounding rock stress and cause the horizontal stress to be gradually released, and the CRCS also changes from a three-dimensional stress state to a lateral unloading state [3-6]. As the interface of coal and rock parting is weak, the process of lateral unloading may cause stick-slip and instability along the weak surface, which easily leads to rock burst accidents.In recent years, with the rapid development of science and technology, the research methods of rock mechanics are gradually enriched. The deformation and failure mechanism of unloading coal/rock mass is gradually revealed, and the mechanism of stick-slip instability of the contact surface is also constantly verified [7]. Such as He et al. [8-10] designed a true-triaxial rock burst test simulation system and simulated the lateral sudden unloading process caused by deep rock excavation. Lu et al. [11] studied the precursory characteristics of rock burst induced by fault stick-slip instability through field observations and biaxial direct shear friction experiments and explained the influence of friction coefficient on stick-slip instability. Liu et al. [12] confirmed that the rock parting structure also has the characteristics of stick-slip and instability under the influence of mining activities. Generally speaking, the current research focuses on the single-factor failure mechanism of coal/rock mass unloading failure or contact face stick-slip instability, but research on the coupling mechanism of unloading failure and contact face stick-slip instability is rare. Especially, the mechanism of stick-slip instability caused by lateral unloading. Therefore, it is particularly important to study the stick-slip instability mechanism of CRCS under the lateral unloading.Numerical simulation has been widely accepted for its unique repeatability and data diversity, especially Universal Distinct Element Code (UDEC). The newly added triangular element can effectively simulate the fracture expansion of coal/rock mass, and the embedded fish program can also complete the tracking and positioning of fractures [13, 14]. Bai et al. [15] used a Discrete Element Method(DEM) investigation of the fracture mechanism of rock disc containing hole(s) and its influence on tensile strength and explored the effects of pore location, size, and quantity on its tensile strength and fracture. Zhang et al. [16] used the UDEC Trigon block model to study the initiation, propagation, and evolution of fractures in composite coal and rock samples and explored the influence of coal and rock height on the mechanical properties of composite coal and rock samples. Lu et al. [17] simulated the failure and instability process of coal seam with rock parting using UDEC discrete element software and pointed out the coupling instability mechanism between coal and rock fractures and contact surface slipping. The numerical results were compared with on-site measurements, and the two results were basically consistent, indicating the applicability of the UDEC Trigon block model.Based on this, this paper takes the C5301 working face of Yunhe Coal Mine (YCM) as the research background of structural sliding induced by driving coal seam with rock parking and uses UDEC numerical simulation technology to study the stick-slip instability process of CRCS, and the influence of unloading speed and joint roughness coefficient (JRC) on the stick-slip instability of composite structure is studied and puts forward the prevention measures of stick-slip instability impact disaster induced by lateral unloading. The research results can be used for early warning and controlling of dynamic disaster induced by stick-slip instability in coal seam with rock parking.The YCM is located in Jining City, Shandong Province, China. Figure 1 shows the plane layout of the C5301 longwall face. The elevation of the C5301 longwall face is from −600 m to −684 m, and the average is −642 m. The thickness of the mining #3 coal seam is 5.4–10.3 m with an average of 8.1 m, and the dip angle is 9°–20° with an average of 14°. Table 1 shows the lithology of coal and rock strata in the longwall face. There is a rock parting in the coal seam of the C5301 longwall face (in Figure 1). The rock parting is composed of siltstone and pyrite loose crystal, with a thickness of 0.5–7 m, which is gradually thinned from the northwest to the southeast.Microseism (MS) is a monitoring method that uses the wave effects produced by rock fracture to carry out positioning, which is widely used in coal mine and tunnel engineering [18, 19]. The KJ648 MS system and nineteen geophones were installed in the YCM. The system can complete the functions of real-time monitoring, data processing, and three-dimensional visualization of the source. Based on the principle of microseismic arrival time difference and arrival time difference quotient [20]. A total of four geophones were arranged around the C5301 longwall face (in Figure 1), which were named as C5301p1, C5301p2, C5301g1, and C5301g2, respectively. Table 2 shows the three-dimensional coordinates of four geophones.From December 10, 2018, to January 10, 2019, the advancing distance of the C5301 longwall face was 116 m. During the roadway excavation, large energy MS event frequently occurred in the rock parting area, which was possibly associated with the stick-slip instability of the CRCS.The variations of MS events and peak energy during the headentry excavation are shown in Figure 2. Both event counts and peak energy show a distinct “accumulation-release-accumulation” cycle. Lu et al. [21] pointed out that there is an obvious vibration mutation during the fault stick-slip and instability process, which is a typical energy accumulation process. This is consistent with the characteristics of vibration change caused by the excavation in the rock parting area. It was observed that when the energy accumulated to the condition of slip, the slip and instability process will occur along the interface of CRCS. Meanwhile, due to the irregularity of the interface, the friction coefficient gradually changes with the roughness of the interface during slip and instability. Therefore, the slip and instability process of the CRCS shows the “slip-stability-slip” phenomenon, which is consistent with the fault stick-slip instability.Figure 3 shows the plane location of the sources in the C5301 longwall face. At the beginning of the C5301 headentry excavation, the source was mainly concentrated on the area where the thickness of the rock parting obviously changed. On December 22, 2018, an MS event with the energy of 3.39 × 105 J was located (>105 J), defined as a strong mine earthquake, which is called Strong Mine Earthquake (SME). Through the analysis, it was caused by the disturbance of the initial excavation, which led to the stick-slip and instability of CRCS in the −725 north headentry. With the roadway advancing to the rock parting area, the sources gradually transferred to both sides and rear of the roadway. From December 26, 2018, to January 10, 2019, three large energy MS events occurred, with the energy of 1.70 × 105, 1.20 × 105, and 1.43 × 105 J, respectively, two of which were located near the roadway. It was proved that the stick-slip instability of CRCS induced by roadway excavation has obvious hysteresis characteristics.The horizontal stress is a step-type decreasing trend as the deep rock mass is excavated [22]. Based on the occurrence characteristics of rock parting in the C5301 longwall face, the mechanical model of stick-slip and instability of CRCS under lateral unloading was established. Figure 4 shows the stress conditions of CRCS.Where σθ is the normal stress, σ3 and σ′3 are the horizontal stress, τ1 and τθ are the shear stress, l and h are the model width and height, θ is the angle of interface.Assuming that the coal and rock blocks are rigid and there is no damage in the block, thenWhen the horizontal stress decreases gradually by lateral unloading, thenWhere N and Δδ are unloading step and unloading gradient. ThereforeIfThen, A is a fixed value. Therefore,The slip and instability of CRCS are closely related to unloading steps and gradient under lateral unloading. The longer the unloading step, the larger the unloading gradient, and the easier the slip of CRCS.The friction force of the interface also has an important influence on the slip and instability of CRCS. When the CRCS is slipping, the normal stress and shear stress of the interface can be expressed asWhere φ is the friction angle.Substituting the equation (7) into the equation (4):IfThenThis shows that f(φ) is a monotone-increasing function. Therefore, the higher the friction angle, the more stable the CRCS.The slipping of the interface includes stick and steady slips. Stick-slip refers to the slipping process if the shear stress of the interface continuously increases and decreases sharply during slipping, while the steady slip refers to the slipping process when the shear stress of the contact surface is basically stable [23]. Figure 5 shows the process of stick-slip instability, which is divided into four processes: initial occlusion, upslope, downslope, and reocclusion. During the process of slipping upslope, normal stress (σ) plays a negative role, otherwise σ plays a positive role. According to Jaeger’s law of friction:Where τ1 andτʹ1 are the shear stress of interface on the upslope and downslope, respectively, τmax and τmax ʹ are the maximum shear stress of interface on the upslope and downslope, respectively, μ and σ are the friction coefficient and normal stress of interface, c is the cohesion of interface, Δτ is the fluctuating value of shear stress of interface during upslope and downslope.Assuming that the slope angles on both sides are consistent and the block is not ruptured, the shear stress will fluctuate with the upslope and downslope of the interface, and the fluctuation value of shear stress is Δτ=2μσ⁠. At the same time, when the horizontal stress F generated by lateral unloading is constant, the slip velocity of the interface will fluctuate with the change of the shear stress, which is also the reason for stick-slip.Based on the field survey and mechanical analysis of the rock parting structure, a numerical model of UDEC is established to study the stick-slip and instability of CRCS caused by lateral unloading, and the numerical model is shown in Figure 6. The width and height of the model are 50 and 100 mm, respectively, and two rigid loading plates are set at the top and bottom. The bottom loading plate is fixed, the top loading plate maintains the axial constant load σ1, and the initial confining pressure is set to σ3. The method of lateral unloading is used to simulate the process of slow unloading of horizontal stress after roadway excavation, and the unit of force unloading speed is Pa/step. The structural plane is set as a wave-shaped occluded structure to simulate the stick-slip effect caused by the slip of the structural plane.In the UDEC discrete element, rock is considered to be a structure composed of rock blocks and joint surfaces. The block and joint have their own microparameters. These microparameters cannot be directly obtained through the laboratory mechanical test, so the inversion calibration is required before the simulation [24, 25]. The parameters calibration process is as follows:First, the deformation module (E) and Poisson’s ratio (μ) of coal and rock parting are obtained by uniaxial compression experiment. According to International Society for Rock Mechanics(ISRM), coal and rock parting samples with a diameter of 50 mm and a height of 100 m were used for uniaxial compression calibration testing, and the numerical model was consistent with the calibration sample size [26]. Figure 7 shows the numerical and experimental results of coal and rock parting samples under uniaxial compression.The bulk modulus (K) and shear modulus (G) of the blocks in the numerical model can be calculated with the following equation (13) and equation (14) [27]. Table 3 shows the microparameters of coal and rock parting blocks after calibration.The normal stiffness kn and shear stiffness ks of joints are obtained by equation (15) and equation (16) [27]. Table 4 shows the normal and shear stiffness of joints after calibration.Where ΔΖmin is the smallest width of the zone adjoining the contact in the vertical direction.Second, Brazil disc testing is used to calibrate the cohesion (c), friction angle (φ), and tensile strength (σt) of contacts. Brazil disc used a disk specimen with a diameter of 50 mm and a thickness of 25 mm, and the numerical model was consistent with the calibration sample size [28]. Figure 8 shows the numerical and experimental results of coal and rock parting samples under Brazil disc testing.The tensile strength of Brazil disc numerical testing is calculated by Eq. (17) [15]. Table 5 shows the microparameters of joints after calibration.Where D is the diameter, t is the thickness, and F is the applied diametrical load when failure.Finally, the microparameters of contact are adjusted repeatedly until the microparameters of numerical simulations and laboratory tests are consistent.Table 6 shows the error values of uniaxial compressive strength and tensile strength. The errors of uniaxial compressive strength are 2.19% and 1.49%, respectively, and the tensile strength are 5.08% and 1.33%, respectively, with relatively small errors. Therefore, it was proved that the microparameters can better reflect the macromechanical properties of coal and rock parting, and the microparameters are feasible.During the coal seam deposition process, the coal and the rock parting will occupy each other, presenting a curved occlusion-up interface. In order to quantitatively analyze the roughness of the interface, the JRC is introduced. The JRC was first proposed by Barton [29], and ten standard curves were provided. Initially, the JRC of the fracture profile was obtained by visual comparison and reference evaluation. But this method has obvious experience, blindness, and randomness. Afterward, many scholars have been working on the quantitative measurement of JRC by different methods. Tse and Cruden [30] obtained the relationship between JRC and the root-mean-square Z2 satisfies Eq. (18) by studying Barton’s standard contour curve.Where L is the total span of interface,xi+1 and xi are the axial coordinate of the first i+1 and the first i joint discrete points of xi , respectively, yi+1 and yi are the y axis coordinates of the first i+1 and the first i joint discrete points, respectively, and n is the number of discrete points on the interface. There is a close correspondence between JRC and Z2 with the correlation coefficient of 0.9863. In order to simulate the effect of JRC on the stick-slip and instability of CRCS, different JRC parameters are chosen as the initial occlusion up interface.Figure 9 shows the variation curve of shear stress, shear displacement, and fracture development of interface under lateral unloading. With the slip and instability of the CRCS under lateral unloading, the shear stress shows a wave-like change characteristic, and the shear displacement shows a step-type change of “slip-stable-slip.” The fracture of the interface shows “rupture-intact-rupture” feature. These three typical characteristics are consistent with the results of a stick-slip experiment conducted by Lu et al. [11]. Under lateral unloading, the interface shear stress, shear displacement, and crack development process can be divided into the following four stages:Shear stress reversal stage: At this time of stress balance, the initial shear stress direction of the interface is along the negative direction of the X-axis. After unloading, the shear stress value gradually decreases until the final shear stress is 0. This phenomenon is caused by the change of the direction of static friction on the interface due to lateral unloading.Shear stress accumulation stage: The shear stress gradually accumulates without obvious shear slip and crack development. It should be noted that the microshear displacement is microdeformation caused by the different elastic modulus of the coal and rock. The accumulation of shear stress is the main reason for the stick-slip hysteresis characteristics of the interface.The precursor of stick-slip and instability stage: At this stage, the cracks begin to develop, but the number is relatively small. The shear displacement is basically unchanged, but the accumulation of shear stress obviously increases until the shear stress peak. The abnormal increase of the shear stress can be used as the precursor of the stick-slip and instability.Stick-slip and instability stage: With the decrease of the waveform of the shear stress on the interface, the shear displacement and cracks show a step-by-step growth. Shear stress, shear displacement, and crack development show obvious stick-slip characteristics.Shear stress reversal stage: At this time of stress balance, the initial shear stress direction of the interface is along the negative direction of the X-axis. After unloading, the shear stress value gradually decreases until the final shear stress is 0. This phenomenon is caused by the change of the direction of static friction on the interface due to lateral unloading.Shear stress accumulation stage: The shear stress gradually accumulates without obvious shear slip and crack development. It should be noted that the microshear displacement is microdeformation caused by the different elastic modulus of the coal and rock. The accumulation of shear stress is the main reason for the stick-slip hysteresis characteristics of the interface.The precursor of stick-slip and instability stage: At this stage, the cracks begin to develop, but the number is relatively small. The shear displacement is basically unchanged, but the accumulation of shear stress obviously increases until the shear stress peak. The abnormal increase of the shear stress can be used as the precursor of the stick-slip and instability.Stick-slip and instability stage: With the decrease of the waveform of the shear stress on the interface, the shear displacement and cracks show a step-by-step growth. Shear stress, shear displacement, and crack development show obvious stick-slip characteristics.Stick-slip and instability of CRCS are accompanied with the formation, development, and intersection of cracks. The acoustic emission (AE) monitoring system is often used in the lab to monitor the internal damage. However, the AE can only effectively monitor the number of cracks and can not accurately describe the internal damage. Therefore, in order to quantitatively analyze the internal damage of CRCS, a fish function is used to record the total length of cracks as well as the length of shear and tensile cracks caused by stick-slip and instability of CRCS. The damage parameter (D) is proposed according to the analysis of Gao [13] and Wu [31].Where DT is the damage parameter of tensile cracks, DS is the damage parameter of shear cracks, LO is the total contact length, LS is the total length of shear cracks, and LT is the total length of tensile cracks. The D is between 0 and 1, the closer it is to 1, the higher the damage degree. Figure 10 shows the crack evolution process of CRCS through lateral unloading. Figure 11 shows the contact damage rate of the interface.At the initial unloading state, the shear stress accumulated inside the structure is small, and the structure only produces micro shear deformation. With the increase of unloading degree, the accumulated shear stress in coal-rock mass and structural plane increases gradually. When the accumulated shear stress exceeds the shear strength of the contact, the contact will slip or crack. At point (a), the unloading time is 1.54 ms, and the cracks first developed at the contact surface between the lower coal and the rock parking until the contact surface is completely broken when d = 1. The fracture development type is a shear fracture. At point (b), the shear stress accumulated on the upper interface reaches a peak. At this time, the cracks development on the upper interface occurs, and the cracks in the lower interface show a gradual closure trend. The upper and lower coal begin to produce shear failure along the top and bottom corners under the action of shear stress and gradually extend into the interior of the coal. At point (c), the cracks of the upper interface expand rapidly, and the cracks in the upper and lower coal gradually penetrate under the shear stress, but the development of cracks in the coal around the upper and lower interfaces is relatively small. This phenomenon is due to the fact that the slip unloading of coal and rock contact surface reduces the shear stress concentration degree around coal. Figure 12 shows the shear stress at points P1 and P2 in the upper coal. The shear stress at point P1 is significantly higher than that at point P2, which is a good confirmation of the accuracy of the concept. At point (d), the cracks are substantially completely penetrated. The cracks damage parameter is D = 0.19 of the upper coal, and the fracture damage parameter is D= 0.22 of the lower coal. The fracture damage value is basically equal. The ratio of the shear damage parameter (DS) and the tensile damage parameter (DT) is close to 9:1. In general, during the process of unloading instability of CRCS, the instability of coal is dominated by shear cracks, and the failure of coal is characterized by the fracture instability toward the unloading surface, the rock damage parameter is D→0⁠, and the crack development is less. However, the damage parameter of the upper interface is D→1⁠, and the damage is also dominated by shear cracks. The instability of the rock is attributed to slip instability toward the unloading surface. For the whole CRCS, the fracture on the nonunloading side is dominated by shear cracks, and the crack on the unloading side is dominated by the tensile cracks.The process of stick-slip and instability of CRCS is accompanied by energy dissipation. The energy dissipation is mainly divided into two parts: one part is the energy dissipated by friction slip between blocks and the other part is the energy released in the form of kinetic energy. In this paper, a fish function is used to monitor energy dissipated in slip (Ujf) and kinetic energy (Uk). The Ujf was calculated by summing the energy dissipated in slip at every single contact that fails in shear [27].Where nc is the number of contacts, fs and fʹs are the current and previous shear forces at the contact, respectively, and usis the increment of shear displacement during a time step.The Ukwas calculated by summing the kinetic energy of each grid point [27].Where ngp is the number of grid points, mi is the mass of grid point, and i and ui is the velocity at grid point i at the current time step.Figure 13 shows the curves of energy dissipated in slip and kinetic energy. At the initial unloading stage, the values of Ujf and Uk are relatively small and increase gradually with the unloading time, and both have a strong coupling with the overall change. At the stick-slip precursor stage, the Ujf reaches the high value quickly, and then keeps basically stable, while the value of Uk is always around 0. This shows that the response of Ujf to stick-slip and instability is earlier than Uk. At the stage of stick-slip and instability, the dissipation energy increases rapidly, and the peak value of energy Ujf fluctuates with the stick-slip and instability of CRCS, but the kinetic energy increases gradually. With the stick-slip and instability, the peak value of Uk presents fluctuating rise, which indicates that the Ujf caused by stick-slip and instability of CRCS tends to be stable gradually under the unloading, while the Uk of CRCS increases gradually.In general, lateral unloading can induce the stick-slip and instability of CRCS. From the analysis of the characteristics of stick-slip and instability, it can be found that the abnormal increase of shear stress can be used as the precursor information of the stick-slip and instability of CRCS, and the peak point of the shear stress can be used as the starting point of stick-slip and instability. Based on the analysis of crack development characteristics, the instability of coal is characterized by fracture, and the instability of rock parting is shown as slipping. Based on the analysis of energy dissipation characteristics, the response of slip dissipation energy to stick slip and instability is earlier than kinetic energy, and the abnormal increase of slip dissipation energy can also be used as a precursor of stick slip and instability. With stick slip, the kinetic energy of CRCS gradually increases, which is also a direct reason for the occurrence of the slip-induced rock burst.The roadway excavation speed is different, so the unloading speed of the stress is different in the surrounding rock mass. In general, the faster the excavation speed, the faster the stress unloading speed. In order to investigate the effect of unloading speed on the stick slip and instability of CRCS, the process of simulating stick slip and instability of CRCS is carried out under different unloading speeds. Figure 14 shows the curve of horizontal stress and time at different unloading speeds.Figure 15 shows the shear stress and shear displacement curves of the interface at different unloading speeds. For shear stress, the stress accumulation rate at the accumulation stage becomes faster as the unloading speed increases, but the peak shear stress is basically stable. This shows that the peak value of the shear stress of the interface is independent of the unloading speed. After the shear stress reaches the peak and the unloading speed is 40 Pa/step, the shear stress of the interface produces a sudden drop with a velocity of 0.12 MPa, the sudden drop time is 0.02 ms, and the number of peak cracks is 39. The sudden drop in shear stress and peak crack numbers show that the interface has an obvious fracture phenomenon. When the unloading velocity is 25 Pa/step, the shear stress decreases by 0.01 MPa, the sudden drop time is 0.02 ms, the number of peak cracks is 36, and the fracture velocity and peak crack numbers gradually slow down. When the unloading speed is 15 Pa/step, there is no obvious shear stress drop after the peak value. This shows that with the decrease in unloading speed, the instability characteristics of the interface will change from fracture instability to stick slip and instability. For the variation curve of shear displacement, the smaller the unloading speed, the more obvious the slip-stability-slip phenomenon of shear displacement. It can be concluded that the unloading speed affects the stick slip and instability of CRCS. The smaller the unloading speed, the more obvious the stick slip and instability. On the contrary, the larger the unloading speed, the more obvious the fracture instability.From Figure 16, with the increase in unloading speed, the total energy released gradually decreases. The coefficient of determination is 0.99567, which indicates that there is an obvious power function relationship between the energy released by lateral unloading and the unloading speed. When the unloading speed is 15 Pa/step, the total released energy is 47.23 J, and when the unloading speed is 40 Pa/step, the total energy released is 16.71 J, the released energy is reduced by 2.8 times, while the shear displacement is only increased by 0.25 times. The results show that the smaller the unloading speed, the more the total released energy, and the stronger the CRCS stability.In order to further explore the influence of JRC value on the stick slip and instability, the numerical simulation of UDEC is carried out by using the curved structural surfaces with different roughness coefficients. Figure 17 shows three types of JRC, and the JRC values are 4.42, 13.44, and 23.58, respectively. From Figure 18, it can be proved that with the increase of JRC, the interface changes from smooth to rough.From Figure 18, with the increase of JRC, the peaks of shear stress are 0.98, 0.87, and 0.62 MPa, the stress drop is 0.22, 0.13, and 0.02 MPa, the shear displacements are 23.54 × 10-5, 7.29 × 10-5, and 0.4 × 10-5 m, respectively, and the complete times of cracks development on the interface are 2.58, 2.97, and 3.15 seconds, respectively. The results show that the peak shear stress, stress drop, and shear displacement are inversely proportional to JRC, and the complete development time of cracks on the interface is proportional to the JRC. The smaller the JRC value, the smoother the structural plane, the higher the degree of shear stress accumulation, and the larger the peak stress drop, and the interface is characterized by fracture instability. The rougher the interface, the greater the JRC value, the greater the variation of shear stress after a peak value, and the longer the fracture development time of the interface, and the instability type is stick slip and failure.From Figure 19, the total energy released by the stick slip and instability satisfies the quadratic function relationship with the JRC, and the coefficient of determination is 0.98167. As the JRC value increases, the total energy released under the unloading path increases gradually. It indicates that the greater the roughness of the interface, the more stable the CRCS.It is observed that with the gradual release of horizontal stress, the CRCS will produce slip instability along the interface. Both the unloading speed and the JRC can affect the slip instability of CRCS. When the unloading speed is reduced and the JRC is increased, the shear displacement generated by the slip decreases gradually, and the total energy released increases gradually; the instability of the interface can be transferred from break-slip to stick-slip, and the CRCS will stabilize gradually. Therefore, the stability of the CRCS can be increased by reducing the unloading speed around the roadway or increasing the JRC of the interface (such as timely support, improving support strength, grouting reinforcement, blasting rock parting, etc.), which will reduce the possibility of impact disaster accidents.Based on the analysis of field data, this paper puts forward the research subject of stick-slip instability along the coal rock contact surface when unloading excavation of coal seam with rock parking. At the same time, the stick-slip instability has obvious hysteresis characteristics that are pointed out. This hysteresis characteristic provides the possibility to prevent the impact disaster accident induced by unloading excavation of coal seam with rock parking.Based on the analysis of the occurrence state of coal seam with rock parking, a theoretical model of CRCS is proposed. Through theoretical calculation, it is pointed out that the unloading speed and roughness of the contact surface will affect the stick-slip instability of the CRCS.A self-compiled unloading program is used to test the numerical model under lateral unloading. The results show that the stick-slip instability along the contact surface is the main reason for the instability of the CRCS. Meanwhile, the rapid increase of shear stress and the abnormal increase of slip dissipation energy are the precursory signals of stick-slip instability.The effects of unloading speed and roughness of contact surface on the stick-slip instability of CRCS are studied by changing the parameters of the numerical model. The methods to reduce the unloading speed of coal/rock mass around the roadway and increase the roughness of contact surface are put forward to prevent the impact accidents induced by unloading excavation of coal seam with rock parking.Based on the analysis of field data, this paper puts forward the research subject of stick-slip instability along the coal rock contact surface when unloading excavation of coal seam with rock parking. At the same time, the stick-slip instability has obvious hysteresis characteristics that are pointed out. This hysteresis characteristic provides the possibility to prevent the impact disaster accident induced by unloading excavation of coal seam with rock parking.Based on the analysis of the occurrence state of coal seam with rock parking, a theoretical model of CRCS is proposed. Through theoretical calculation, it is pointed out that the unloading speed and roughness of the contact surface will affect the stick-slip instability of the CRCS.A self-compiled unloading program is used to test the numerical model under lateral unloading. The results show that the stick-slip instability along the contact surface is the main reason for the instability of the CRCS. Meanwhile, the rapid increase of shear stress and the abnormal increase of slip dissipation energy are the precursory signals of stick-slip instability.The effects of unloading speed and roughness of contact surface on the stick-slip instability of CRCS are studied by changing the parameters of the numerical model. The methods to reduce the unloading speed of coal/rock mass around the roadway and increase the roughness of contact surface are put forward to prevent the impact accidents induced by unloading excavation of coal seam with rock parking.The data in this manuscript are available. https://doi.org/10.5061/dryad.41ns1rndr.The authors declared no potential conflicts of interest with respect to the research, authorship, and/or publication of this article.We gratefully wish to acknowledge The Key Scientific Research Projects for Higher Education of Henan Province (23A440012, 24A440011) and The Key R & D and promotion projects in Henan Province (212102310030) and Collaborative Innovation Center for Prevention and Control of Mountain Geological Hazards of Zhejiang Province (PCMGH-2022-05) and Interdisciplinary Sciences Project (NGJC-2022-02), Nanyang Institute of Technology and Doctoral Research Start-up Fund Project, Nanyang Institute of Technology.","PeriodicalId":18147,"journal":{"name":"Lithosphere","volume":null,"pages":null},"PeriodicalIF":1.8000,"publicationDate":"2024-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Numerical Study on Characteristics of Stick-Slip Instability of Coal-Rock Parting-Coal Structure under Lateral Unloading\",\"authors\":\"Heng Zhang, Guang-Jian Liu, Xian-Jun Ji, Wen-Hao Cao, Ya-Wei Zhu, Sher Bacha\",\"doi\":\"10.2113/2024/lithosphere_2023_172\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Unloading excavation can increase the possibility of rock burst, especially for coal seam with rock parting. In order to explore the evolution process of rock burst under lateral unloading, the combination of in situ measures and numerical experiments is used to study. The following four points were addressed: (1) the coal seam with rock parting easily causes the stick-slip and instability along the interface, and the process of stick-slip and instability has hysteresis characteristics; (2) the greater the degree of unloading or the smaller the interface friction angle of the Coal-Rock Parting-Coal Structure (CRCS), the more likely it is for stick-slip and instability to occur; (3) the abnormal increase of shear stress and slip dissipation energy can be used as the precursory information of the stick-slip and instability of CRCS; (4) the damage intensity of rock burst induced by stick-slip and instability of CRCS can be reduced by reducing the unloading speed or increasing the roughness of interface. The research results can be used for early warning and controlling of dynamic disaster induced by stick-slip instability in coal seam with rock parking.The slip-staggered rock burst is caused by the slip dislocation of the internal related structure, which mainly occurs in the fault, coal seam separation, and abnormal change area of coal seam dip angle. The coal seam separation is a typical occurrence structure in coal mines of China, which causes the transformation of coal and rock structures, and commonly the Coal-Rock Parting-Coal Structure (CRCS) is formed by rock parting upper and lower coal seams [1, 2]. The natural CRCS is in a stable triaxial stress state. The process of roadway excavation can cause the redistribution of surrounding rock stress and cause the horizontal stress to be gradually released, and the CRCS also changes from a three-dimensional stress state to a lateral unloading state [3-6]. As the interface of coal and rock parting is weak, the process of lateral unloading may cause stick-slip and instability along the weak surface, which easily leads to rock burst accidents.In recent years, with the rapid development of science and technology, the research methods of rock mechanics are gradually enriched. The deformation and failure mechanism of unloading coal/rock mass is gradually revealed, and the mechanism of stick-slip instability of the contact surface is also constantly verified [7]. Such as He et al. [8-10] designed a true-triaxial rock burst test simulation system and simulated the lateral sudden unloading process caused by deep rock excavation. Lu et al. [11] studied the precursory characteristics of rock burst induced by fault stick-slip instability through field observations and biaxial direct shear friction experiments and explained the influence of friction coefficient on stick-slip instability. Liu et al. [12] confirmed that the rock parting structure also has the characteristics of stick-slip and instability under the influence of mining activities. Generally speaking, the current research focuses on the single-factor failure mechanism of coal/rock mass unloading failure or contact face stick-slip instability, but research on the coupling mechanism of unloading failure and contact face stick-slip instability is rare. Especially, the mechanism of stick-slip instability caused by lateral unloading. Therefore, it is particularly important to study the stick-slip instability mechanism of CRCS under the lateral unloading.Numerical simulation has been widely accepted for its unique repeatability and data diversity, especially Universal Distinct Element Code (UDEC). The newly added triangular element can effectively simulate the fracture expansion of coal/rock mass, and the embedded fish program can also complete the tracking and positioning of fractures [13, 14]. Bai et al. [15] used a Discrete Element Method(DEM) investigation of the fracture mechanism of rock disc containing hole(s) and its influence on tensile strength and explored the effects of pore location, size, and quantity on its tensile strength and fracture. Zhang et al. [16] used the UDEC Trigon block model to study the initiation, propagation, and evolution of fractures in composite coal and rock samples and explored the influence of coal and rock height on the mechanical properties of composite coal and rock samples. Lu et al. [17] simulated the failure and instability process of coal seam with rock parting using UDEC discrete element software and pointed out the coupling instability mechanism between coal and rock fractures and contact surface slipping. The numerical results were compared with on-site measurements, and the two results were basically consistent, indicating the applicability of the UDEC Trigon block model.Based on this, this paper takes the C5301 working face of Yunhe Coal Mine (YCM) as the research background of structural sliding induced by driving coal seam with rock parking and uses UDEC numerical simulation technology to study the stick-slip instability process of CRCS, and the influence of unloading speed and joint roughness coefficient (JRC) on the stick-slip instability of composite structure is studied and puts forward the prevention measures of stick-slip instability impact disaster induced by lateral unloading. The research results can be used for early warning and controlling of dynamic disaster induced by stick-slip instability in coal seam with rock parking.The YCM is located in Jining City, Shandong Province, China. Figure 1 shows the plane layout of the C5301 longwall face. The elevation of the C5301 longwall face is from −600 m to −684 m, and the average is −642 m. The thickness of the mining #3 coal seam is 5.4–10.3 m with an average of 8.1 m, and the dip angle is 9°–20° with an average of 14°. Table 1 shows the lithology of coal and rock strata in the longwall face. There is a rock parting in the coal seam of the C5301 longwall face (in Figure 1). The rock parting is composed of siltstone and pyrite loose crystal, with a thickness of 0.5–7 m, which is gradually thinned from the northwest to the southeast.Microseism (MS) is a monitoring method that uses the wave effects produced by rock fracture to carry out positioning, which is widely used in coal mine and tunnel engineering [18, 19]. The KJ648 MS system and nineteen geophones were installed in the YCM. The system can complete the functions of real-time monitoring, data processing, and three-dimensional visualization of the source. Based on the principle of microseismic arrival time difference and arrival time difference quotient [20]. A total of four geophones were arranged around the C5301 longwall face (in Figure 1), which were named as C5301p1, C5301p2, C5301g1, and C5301g2, respectively. Table 2 shows the three-dimensional coordinates of four geophones.From December 10, 2018, to January 10, 2019, the advancing distance of the C5301 longwall face was 116 m. During the roadway excavation, large energy MS event frequently occurred in the rock parting area, which was possibly associated with the stick-slip instability of the CRCS.The variations of MS events and peak energy during the headentry excavation are shown in Figure 2. Both event counts and peak energy show a distinct “accumulation-release-accumulation” cycle. Lu et al. [21] pointed out that there is an obvious vibration mutation during the fault stick-slip and instability process, which is a typical energy accumulation process. This is consistent with the characteristics of vibration change caused by the excavation in the rock parting area. It was observed that when the energy accumulated to the condition of slip, the slip and instability process will occur along the interface of CRCS. Meanwhile, due to the irregularity of the interface, the friction coefficient gradually changes with the roughness of the interface during slip and instability. Therefore, the slip and instability process of the CRCS shows the “slip-stability-slip” phenomenon, which is consistent with the fault stick-slip instability.Figure 3 shows the plane location of the sources in the C5301 longwall face. At the beginning of the C5301 headentry excavation, the source was mainly concentrated on the area where the thickness of the rock parting obviously changed. On December 22, 2018, an MS event with the energy of 3.39 × 105 J was located (>105 J), defined as a strong mine earthquake, which is called Strong Mine Earthquake (SME). Through the analysis, it was caused by the disturbance of the initial excavation, which led to the stick-slip and instability of CRCS in the −725 north headentry. With the roadway advancing to the rock parting area, the sources gradually transferred to both sides and rear of the roadway. From December 26, 2018, to January 10, 2019, three large energy MS events occurred, with the energy of 1.70 × 105, 1.20 × 105, and 1.43 × 105 J, respectively, two of which were located near the roadway. It was proved that the stick-slip instability of CRCS induced by roadway excavation has obvious hysteresis characteristics.The horizontal stress is a step-type decreasing trend as the deep rock mass is excavated [22]. Based on the occurrence characteristics of rock parting in the C5301 longwall face, the mechanical model of stick-slip and instability of CRCS under lateral unloading was established. Figure 4 shows the stress conditions of CRCS.Where σθ is the normal stress, σ3 and σ′3 are the horizontal stress, τ1 and τθ are the shear stress, l and h are the model width and height, θ is the angle of interface.Assuming that the coal and rock blocks are rigid and there is no damage in the block, thenWhen the horizontal stress decreases gradually by lateral unloading, thenWhere N and Δδ are unloading step and unloading gradient. ThereforeIfThen, A is a fixed value. Therefore,The slip and instability of CRCS are closely related to unloading steps and gradient under lateral unloading. The longer the unloading step, the larger the unloading gradient, and the easier the slip of CRCS.The friction force of the interface also has an important influence on the slip and instability of CRCS. When the CRCS is slipping, the normal stress and shear stress of the interface can be expressed asWhere φ is the friction angle.Substituting the equation (7) into the equation (4):IfThenThis shows that f(φ) is a monotone-increasing function. Therefore, the higher the friction angle, the more stable the CRCS.The slipping of the interface includes stick and steady slips. Stick-slip refers to the slipping process if the shear stress of the interface continuously increases and decreases sharply during slipping, while the steady slip refers to the slipping process when the shear stress of the contact surface is basically stable [23]. Figure 5 shows the process of stick-slip instability, which is divided into four processes: initial occlusion, upslope, downslope, and reocclusion. During the process of slipping upslope, normal stress (σ) plays a negative role, otherwise σ plays a positive role. According to Jaeger’s law of friction:Where τ1 andτʹ1 are the shear stress of interface on the upslope and downslope, respectively, τmax and τmax ʹ are the maximum shear stress of interface on the upslope and downslope, respectively, μ and σ are the friction coefficient and normal stress of interface, c is the cohesion of interface, Δτ is the fluctuating value of shear stress of interface during upslope and downslope.Assuming that the slope angles on both sides are consistent and the block is not ruptured, the shear stress will fluctuate with the upslope and downslope of the interface, and the fluctuation value of shear stress is Δτ=2μσ⁠. At the same time, when the horizontal stress F generated by lateral unloading is constant, the slip velocity of the interface will fluctuate with the change of the shear stress, which is also the reason for stick-slip.Based on the field survey and mechanical analysis of the rock parting structure, a numerical model of UDEC is established to study the stick-slip and instability of CRCS caused by lateral unloading, and the numerical model is shown in Figure 6. The width and height of the model are 50 and 100 mm, respectively, and two rigid loading plates are set at the top and bottom. The bottom loading plate is fixed, the top loading plate maintains the axial constant load σ1, and the initial confining pressure is set to σ3. The method of lateral unloading is used to simulate the process of slow unloading of horizontal stress after roadway excavation, and the unit of force unloading speed is Pa/step. The structural plane is set as a wave-shaped occluded structure to simulate the stick-slip effect caused by the slip of the structural plane.In the UDEC discrete element, rock is considered to be a structure composed of rock blocks and joint surfaces. The block and joint have their own microparameters. These microparameters cannot be directly obtained through the laboratory mechanical test, so the inversion calibration is required before the simulation [24, 25]. The parameters calibration process is as follows:First, the deformation module (E) and Poisson’s ratio (μ) of coal and rock parting are obtained by uniaxial compression experiment. According to International Society for Rock Mechanics(ISRM), coal and rock parting samples with a diameter of 50 mm and a height of 100 m were used for uniaxial compression calibration testing, and the numerical model was consistent with the calibration sample size [26]. Figure 7 shows the numerical and experimental results of coal and rock parting samples under uniaxial compression.The bulk modulus (K) and shear modulus (G) of the blocks in the numerical model can be calculated with the following equation (13) and equation (14) [27]. Table 3 shows the microparameters of coal and rock parting blocks after calibration.The normal stiffness kn and shear stiffness ks of joints are obtained by equation (15) and equation (16) [27]. Table 4 shows the normal and shear stiffness of joints after calibration.Where ΔΖmin is the smallest width of the zone adjoining the contact in the vertical direction.Second, Brazil disc testing is used to calibrate the cohesion (c), friction angle (φ), and tensile strength (σt) of contacts. Brazil disc used a disk specimen with a diameter of 50 mm and a thickness of 25 mm, and the numerical model was consistent with the calibration sample size [28]. Figure 8 shows the numerical and experimental results of coal and rock parting samples under Brazil disc testing.The tensile strength of Brazil disc numerical testing is calculated by Eq. (17) [15]. Table 5 shows the microparameters of joints after calibration.Where D is the diameter, t is the thickness, and F is the applied diametrical load when failure.Finally, the microparameters of contact are adjusted repeatedly until the microparameters of numerical simulations and laboratory tests are consistent.Table 6 shows the error values of uniaxial compressive strength and tensile strength. The errors of uniaxial compressive strength are 2.19% and 1.49%, respectively, and the tensile strength are 5.08% and 1.33%, respectively, with relatively small errors. Therefore, it was proved that the microparameters can better reflect the macromechanical properties of coal and rock parting, and the microparameters are feasible.During the coal seam deposition process, the coal and the rock parting will occupy each other, presenting a curved occlusion-up interface. In order to quantitatively analyze the roughness of the interface, the JRC is introduced. The JRC was first proposed by Barton [29], and ten standard curves were provided. Initially, the JRC of the fracture profile was obtained by visual comparison and reference evaluation. But this method has obvious experience, blindness, and randomness. Afterward, many scholars have been working on the quantitative measurement of JRC by different methods. Tse and Cruden [30] obtained the relationship between JRC and the root-mean-square Z2 satisfies Eq. (18) by studying Barton’s standard contour curve.Where L is the total span of interface,xi+1 and xi are the axial coordinate of the first i+1 and the first i joint discrete points of xi , respectively, yi+1 and yi are the y axis coordinates of the first i+1 and the first i joint discrete points, respectively, and n is the number of discrete points on the interface. There is a close correspondence between JRC and Z2 with the correlation coefficient of 0.9863. In order to simulate the effect of JRC on the stick-slip and instability of CRCS, different JRC parameters are chosen as the initial occlusion up interface.Figure 9 shows the variation curve of shear stress, shear displacement, and fracture development of interface under lateral unloading. With the slip and instability of the CRCS under lateral unloading, the shear stress shows a wave-like change characteristic, and the shear displacement shows a step-type change of “slip-stable-slip.” The fracture of the interface shows “rupture-intact-rupture” feature. These three typical characteristics are consistent with the results of a stick-slip experiment conducted by Lu et al. [11]. Under lateral unloading, the interface shear stress, shear displacement, and crack development process can be divided into the following four stages:Shear stress reversal stage: At this time of stress balance, the initial shear stress direction of the interface is along the negative direction of the X-axis. After unloading, the shear stress value gradually decreases until the final shear stress is 0. This phenomenon is caused by the change of the direction of static friction on the interface due to lateral unloading.Shear stress accumulation stage: The shear stress gradually accumulates without obvious shear slip and crack development. It should be noted that the microshear displacement is microdeformation caused by the different elastic modulus of the coal and rock. The accumulation of shear stress is the main reason for the stick-slip hysteresis characteristics of the interface.The precursor of stick-slip and instability stage: At this stage, the cracks begin to develop, but the number is relatively small. The shear displacement is basically unchanged, but the accumulation of shear stress obviously increases until the shear stress peak. The abnormal increase of the shear stress can be used as the precursor of the stick-slip and instability.Stick-slip and instability stage: With the decrease of the waveform of the shear stress on the interface, the shear displacement and cracks show a step-by-step growth. Shear stress, shear displacement, and crack development show obvious stick-slip characteristics.Shear stress reversal stage: At this time of stress balance, the initial shear stress direction of the interface is along the negative direction of the X-axis. After unloading, the shear stress value gradually decreases until the final shear stress is 0. This phenomenon is caused by the change of the direction of static friction on the interface due to lateral unloading.Shear stress accumulation stage: The shear stress gradually accumulates without obvious shear slip and crack development. It should be noted that the microshear displacement is microdeformation caused by the different elastic modulus of the coal and rock. The accumulation of shear stress is the main reason for the stick-slip hysteresis characteristics of the interface.The precursor of stick-slip and instability stage: At this stage, the cracks begin to develop, but the number is relatively small. The shear displacement is basically unchanged, but the accumulation of shear stress obviously increases until the shear stress peak. The abnormal increase of the shear stress can be used as the precursor of the stick-slip and instability.Stick-slip and instability stage: With the decrease of the waveform of the shear stress on the interface, the shear displacement and cracks show a step-by-step growth. Shear stress, shear displacement, and crack development show obvious stick-slip characteristics.Stick-slip and instability of CRCS are accompanied with the formation, development, and intersection of cracks. The acoustic emission (AE) monitoring system is often used in the lab to monitor the internal damage. However, the AE can only effectively monitor the number of cracks and can not accurately describe the internal damage. Therefore, in order to quantitatively analyze the internal damage of CRCS, a fish function is used to record the total length of cracks as well as the length of shear and tensile cracks caused by stick-slip and instability of CRCS. The damage parameter (D) is proposed according to the analysis of Gao [13] and Wu [31].Where DT is the damage parameter of tensile cracks, DS is the damage parameter of shear cracks, LO is the total contact length, LS is the total length of shear cracks, and LT is the total length of tensile cracks. The D is between 0 and 1, the closer it is to 1, the higher the damage degree. Figure 10 shows the crack evolution process of CRCS through lateral unloading. Figure 11 shows the contact damage rate of the interface.At the initial unloading state, the shear stress accumulated inside the structure is small, and the structure only produces micro shear deformation. With the increase of unloading degree, the accumulated shear stress in coal-rock mass and structural plane increases gradually. When the accumulated shear stress exceeds the shear strength of the contact, the contact will slip or crack. At point (a), the unloading time is 1.54 ms, and the cracks first developed at the contact surface between the lower coal and the rock parking until the contact surface is completely broken when d = 1. The fracture development type is a shear fracture. At point (b), the shear stress accumulated on the upper interface reaches a peak. At this time, the cracks development on the upper interface occurs, and the cracks in the lower interface show a gradual closure trend. The upper and lower coal begin to produce shear failure along the top and bottom corners under the action of shear stress and gradually extend into the interior of the coal. At point (c), the cracks of the upper interface expand rapidly, and the cracks in the upper and lower coal gradually penetrate under the shear stress, but the development of cracks in the coal around the upper and lower interfaces is relatively small. This phenomenon is due to the fact that the slip unloading of coal and rock contact surface reduces the shear stress concentration degree around coal. Figure 12 shows the shear stress at points P1 and P2 in the upper coal. The shear stress at point P1 is significantly higher than that at point P2, which is a good confirmation of the accuracy of the concept. At point (d), the cracks are substantially completely penetrated. The cracks damage parameter is D = 0.19 of the upper coal, and the fracture damage parameter is D= 0.22 of the lower coal. The fracture damage value is basically equal. The ratio of the shear damage parameter (DS) and the tensile damage parameter (DT) is close to 9:1. In general, during the process of unloading instability of CRCS, the instability of coal is dominated by shear cracks, and the failure of coal is characterized by the fracture instability toward the unloading surface, the rock damage parameter is D→0⁠, and the crack development is less. However, the damage parameter of the upper interface is D→1⁠, and the damage is also dominated by shear cracks. The instability of the rock is attributed to slip instability toward the unloading surface. For the whole CRCS, the fracture on the nonunloading side is dominated by shear cracks, and the crack on the unloading side is dominated by the tensile cracks.The process of stick-slip and instability of CRCS is accompanied by energy dissipation. The energy dissipation is mainly divided into two parts: one part is the energy dissipated by friction slip between blocks and the other part is the energy released in the form of kinetic energy. In this paper, a fish function is used to monitor energy dissipated in slip (Ujf) and kinetic energy (Uk). The Ujf was calculated by summing the energy dissipated in slip at every single contact that fails in shear [27].Where nc is the number of contacts, fs and fʹs are the current and previous shear forces at the contact, respectively, and usis the increment of shear displacement during a time step.The Ukwas calculated by summing the kinetic energy of each grid point [27].Where ngp is the number of grid points, mi is the mass of grid point, and i and ui is the velocity at grid point i at the current time step.Figure 13 shows the curves of energy dissipated in slip and kinetic energy. At the initial unloading stage, the values of Ujf and Uk are relatively small and increase gradually with the unloading time, and both have a strong coupling with the overall change. At the stick-slip precursor stage, the Ujf reaches the high value quickly, and then keeps basically stable, while the value of Uk is always around 0. This shows that the response of Ujf to stick-slip and instability is earlier than Uk. At the stage of stick-slip and instability, the dissipation energy increases rapidly, and the peak value of energy Ujf fluctuates with the stick-slip and instability of CRCS, but the kinetic energy increases gradually. With the stick-slip and instability, the peak value of Uk presents fluctuating rise, which indicates that the Ujf caused by stick-slip and instability of CRCS tends to be stable gradually under the unloading, while the Uk of CRCS increases gradually.In general, lateral unloading can induce the stick-slip and instability of CRCS. From the analysis of the characteristics of stick-slip and instability, it can be found that the abnormal increase of shear stress can be used as the precursor information of the stick-slip and instability of CRCS, and the peak point of the shear stress can be used as the starting point of stick-slip and instability. Based on the analysis of crack development characteristics, the instability of coal is characterized by fracture, and the instability of rock parting is shown as slipping. Based on the analysis of energy dissipation characteristics, the response of slip dissipation energy to stick slip and instability is earlier than kinetic energy, and the abnormal increase of slip dissipation energy can also be used as a precursor of stick slip and instability. With stick slip, the kinetic energy of CRCS gradually increases, which is also a direct reason for the occurrence of the slip-induced rock burst.The roadway excavation speed is different, so the unloading speed of the stress is different in the surrounding rock mass. In general, the faster the excavation speed, the faster the stress unloading speed. In order to investigate the effect of unloading speed on the stick slip and instability of CRCS, the process of simulating stick slip and instability of CRCS is carried out under different unloading speeds. Figure 14 shows the curve of horizontal stress and time at different unloading speeds.Figure 15 shows the shear stress and shear displacement curves of the interface at different unloading speeds. For shear stress, the stress accumulation rate at the accumulation stage becomes faster as the unloading speed increases, but the peak shear stress is basically stable. This shows that the peak value of the shear stress of the interface is independent of the unloading speed. After the shear stress reaches the peak and the unloading speed is 40 Pa/step, the shear stress of the interface produces a sudden drop with a velocity of 0.12 MPa, the sudden drop time is 0.02 ms, and the number of peak cracks is 39. The sudden drop in shear stress and peak crack numbers show that the interface has an obvious fracture phenomenon. When the unloading velocity is 25 Pa/step, the shear stress decreases by 0.01 MPa, the sudden drop time is 0.02 ms, the number of peak cracks is 36, and the fracture velocity and peak crack numbers gradually slow down. When the unloading speed is 15 Pa/step, there is no obvious shear stress drop after the peak value. This shows that with the decrease in unloading speed, the instability characteristics of the interface will change from fracture instability to stick slip and instability. For the variation curve of shear displacement, the smaller the unloading speed, the more obvious the slip-stability-slip phenomenon of shear displacement. It can be concluded that the unloading speed affects the stick slip and instability of CRCS. The smaller the unloading speed, the more obvious the stick slip and instability. On the contrary, the larger the unloading speed, the more obvious the fracture instability.From Figure 16, with the increase in unloading speed, the total energy released gradually decreases. The coefficient of determination is 0.99567, which indicates that there is an obvious power function relationship between the energy released by lateral unloading and the unloading speed. When the unloading speed is 15 Pa/step, the total released energy is 47.23 J, and when the unloading speed is 40 Pa/step, the total energy released is 16.71 J, the released energy is reduced by 2.8 times, while the shear displacement is only increased by 0.25 times. The results show that the smaller the unloading speed, the more the total released energy, and the stronger the CRCS stability.In order to further explore the influence of JRC value on the stick slip and instability, the numerical simulation of UDEC is carried out by using the curved structural surfaces with different roughness coefficients. Figure 17 shows three types of JRC, and the JRC values are 4.42, 13.44, and 23.58, respectively. From Figure 18, it can be proved that with the increase of JRC, the interface changes from smooth to rough.From Figure 18, with the increase of JRC, the peaks of shear stress are 0.98, 0.87, and 0.62 MPa, the stress drop is 0.22, 0.13, and 0.02 MPa, the shear displacements are 23.54 × 10-5, 7.29 × 10-5, and 0.4 × 10-5 m, respectively, and the complete times of cracks development on the interface are 2.58, 2.97, and 3.15 seconds, respectively. The results show that the peak shear stress, stress drop, and shear displacement are inversely proportional to JRC, and the complete development time of cracks on the interface is proportional to the JRC. The smaller the JRC value, the smoother the structural plane, the higher the degree of shear stress accumulation, and the larger the peak stress drop, and the interface is characterized by fracture instability. The rougher the interface, the greater the JRC value, the greater the variation of shear stress after a peak value, and the longer the fracture development time of the interface, and the instability type is stick slip and failure.From Figure 19, the total energy released by the stick slip and instability satisfies the quadratic function relationship with the JRC, and the coefficient of determination is 0.98167. As the JRC value increases, the total energy released under the unloading path increases gradually. It indicates that the greater the roughness of the interface, the more stable the CRCS.It is observed that with the gradual release of horizontal stress, the CRCS will produce slip instability along the interface. Both the unloading speed and the JRC can affect the slip instability of CRCS. When the unloading speed is reduced and the JRC is increased, the shear displacement generated by the slip decreases gradually, and the total energy released increases gradually; the instability of the interface can be transferred from break-slip to stick-slip, and the CRCS will stabilize gradually. Therefore, the stability of the CRCS can be increased by reducing the unloading speed around the roadway or increasing the JRC of the interface (such as timely support, improving support strength, grouting reinforcement, blasting rock parting, etc.), which will reduce the possibility of impact disaster accidents.Based on the analysis of field data, this paper puts forward the research subject of stick-slip instability along the coal rock contact surface when unloading excavation of coal seam with rock parking. At the same time, the stick-slip instability has obvious hysteresis characteristics that are pointed out. This hysteresis characteristic provides the possibility to prevent the impact disaster accident induced by unloading excavation of coal seam with rock parking.Based on the analysis of the occurrence state of coal seam with rock parking, a theoretical model of CRCS is proposed. Through theoretical calculation, it is pointed out that the unloading speed and roughness of the contact surface will affect the stick-slip instability of the CRCS.A self-compiled unloading program is used to test the numerical model under lateral unloading. The results show that the stick-slip instability along the contact surface is the main reason for the instability of the CRCS. Meanwhile, the rapid increase of shear stress and the abnormal increase of slip dissipation energy are the precursory signals of stick-slip instability.The effects of unloading speed and roughness of contact surface on the stick-slip instability of CRCS are studied by changing the parameters of the numerical model. The methods to reduce the unloading speed of coal/rock mass around the roadway and increase the roughness of contact surface are put forward to prevent the impact accidents induced by unloading excavation of coal seam with rock parking.Based on the analysis of field data, this paper puts forward the research subject of stick-slip instability along the coal rock contact surface when unloading excavation of coal seam with rock parking. At the same time, the stick-slip instability has obvious hysteresis characteristics that are pointed out. This hysteresis characteristic provides the possibility to prevent the impact disaster accident induced by unloading excavation of coal seam with rock parking.Based on the analysis of the occurrence state of coal seam with rock parking, a theoretical model of CRCS is proposed. Through theoretical calculation, it is pointed out that the unloading speed and roughness of the contact surface will affect the stick-slip instability of the CRCS.A self-compiled unloading program is used to test the numerical model under lateral unloading. The results show that the stick-slip instability along the contact surface is the main reason for the instability of the CRCS. Meanwhile, the rapid increase of shear stress and the abnormal increase of slip dissipation energy are the precursory signals of stick-slip instability.The effects of unloading speed and roughness of contact surface on the stick-slip instability of CRCS are studied by changing the parameters of the numerical model. The methods to reduce the unloading speed of coal/rock mass around the roadway and increase the roughness of contact surface are put forward to prevent the impact accidents induced by unloading excavation of coal seam with rock parking.The data in this manuscript are available. https://doi.org/10.5061/dryad.41ns1rndr.The authors declared no potential conflicts of interest with respect to the research, authorship, and/or publication of this article.We gratefully wish to acknowledge The Key Scientific Research Projects for Higher Education of Henan Province (23A440012, 24A440011) and The Key R & D and promotion projects in Henan Province (212102310030) and Collaborative Innovation Center for Prevention and Control of Mountain Geological Hazards of Zhejiang Province (PCMGH-2022-05) and Interdisciplinary Sciences Project (NGJC-2022-02), Nanyang Institute of Technology and Doctoral Research Start-up Fund Project, Nanyang Institute of Technology.\",\"PeriodicalId\":18147,\"journal\":{\"name\":\"Lithosphere\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.8000,\"publicationDate\":\"2024-01-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Lithosphere\",\"FirstCategoryId\":\"89\",\"ListUrlMain\":\"https://doi.org/10.2113/2024/lithosphere_2023_172\",\"RegionNum\":4,\"RegionCategory\":\"地球科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"GEOCHEMISTRY & GEOPHYSICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Lithosphere","FirstCategoryId":"89","ListUrlMain":"https://doi.org/10.2113/2024/lithosphere_2023_172","RegionNum":4,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"GEOCHEMISTRY & GEOPHYSICS","Score":null,"Total":0}
引用次数: 0

摘要

基于此,本文以云和煤矿(YCM)C5301工作面为研究背景,以煤层带岩停车驱动诱发结构滑动为研究对象,采用UDEC数值模拟技术研究了CRCS的粘滑失稳过程,研究了卸载速度和节理粗糙度系数(JRC)对复合结构粘滑失稳的影响,提出了横向卸载诱发粘滑失稳冲击灾害的防治措施。永利国际娱乐平台位于中国山东省济宁市。图 1 是 C5301 长壁工作面的平面布置图。C5301长壁工作面标高为-600米至-684米,平均标高为-642米;开采3#煤层厚度为5.4米至10.3米,平均厚度为8.1米;倾角为9°至20°,平均倾角为14°。表 1 列出了长壁工作面煤层和岩层的岩性。C5301 长壁工作面煤层中存在岩层破碎带(见图 1)。微震(MS)是一种利用岩石断裂产生的波浪效应进行定位的监测方法,在煤矿和隧道工程中应用广泛[18,19]。YCM 安装了 KJ648 MS 系统和 19 个检波器。该系统可完成实时监测、数据处理和震源三维可视化等功能。基于微地震到达时差和到达时差商的原理[20]。在 C5301 长壁工作面周围(如图 1 所示)共布置了四个检波器,分别命名为 C5301p1、C5301p2、C5301g1 和 C5301g2。2018年12月10日至2019年1月10日,C5301长壁工作面推进距离为116米,在巷道掘进过程中,分岩区经常发生大能量MS事件,这可能与CRCS的粘滑失稳有关。事件计数和峰值能量都呈现出明显的 "积累-释放-积累 "循环。Lu 等人[21]指出,断层粘滑失稳过程中存在明显的振动突变,是典型的能量积累过程。这与分岩区开挖引起的振动变化特征是一致的。据观察,当能量积累到滑移条件时,将沿 CRCS 的界面发生滑移和失稳过程。同时,由于界面的不规则性,在滑移和失稳过程中,摩擦系数会随着界面粗糙度的变化而逐渐变化。因此,CRCS 的滑移和失稳过程呈现出 "滑移-稳定-滑移 "现象,这与断层粘滑失稳是一致的。在C5301迎头掘进初期,震源主要集中在分岩厚度明显变化的区域。2018年12月22日,定位到一个能量为3.39×105 J(>105 J)的MS事件,定义为矿井强震,称之为矿井强震(SME)。通过分析,其成因是初期掘进扰动,导致-725北头面进尺CRCS发生粘滑失稳。随着巷道推进至分岩区域,岩源逐渐向巷道两侧及后方转移。2018年12月26日至2019年1月10日,发生了三次能量较大的MS事件,能量分别为1.70×105、1.20×105和1.43×105 J,其中两次位于巷道附近。研究证明,巷道开挖诱发的 CRCS 粘滑失稳具有明显的滞后特征,随着深部岩体的开挖,水平应力呈阶梯式递减趋势[22]。根据 C5301 长壁工作面分岩的发生特征,建立了横向卸载下 CRCS 粘滑失稳的力学模型。其中,σθ为法向应力,σ3和σ′3为水平应力,τ1和τθ为剪应力,l和h为模型宽度和高度,θ为界面角。 假设煤块和岩块都是刚性的,且岩块没有损坏,那么当横向卸载使水平应力逐渐减小时,其中 N 和 Δδ 分别为卸载步距和卸载坡度。因此,如果此时 A 为固定值,则在横向卸荷作用下水平应力会逐渐减小。因此,CRCS 的滑移和不稳定性与横向卸载下的卸载步长和卸载梯度密切相关。卸载步长越长,卸载梯度越大,CRCS 就越容易滑移。将方程(7)代入方程(4):IfThen由此可见,f(φ) 是一个单调递增函数。因此,摩擦角越大,CRCS 越稳定。粘滑是指界面的剪应力在滑动过程中不断增大和急剧减小的滑动过程,而稳滑是指接触面的剪应力基本稳定的滑动过程[23]。图 5 显示了粘滑失稳的过程,分为初始闭塞、上坡、下坡和再闭塞四个过程。在上坡滑动过程中,法向应力(σ)起负作用,否则σ起正作用。根据耶格尔摩擦定律:其中,τ1 和 τʹ1 分别为界面在上坡和下坡时的剪应力,τmax 和 τmax ʹ 分别为界面在上坡和下坡时的最大剪应力,μ 和 σ 分别为界面的摩擦系数和法向应力,c 为界面的内聚力,Δτ 为界面在上坡和下坡时的剪应力波动值。假设两侧坡角一致,且块体未发生破裂,则剪应力将随界面的上坡和下坡而波动,剪应力波动值为Δτ=2μσ。同时,当侧向卸荷产生的水平应力F恒定时,界面的滑移速度会随着剪应力的变化而波动,这也是产生粘滑的原因。根据现场勘测和分岩结构力学分析,建立了 UDEC 数值模型来研究侧向卸荷引起的 CRCS 粘滑和失稳,数值模型如图 6 所示。模型的宽度和高度分别为 50 毫米和 100 毫米,上下设置两块刚性加载板。底部加载板固定,顶部加载板保持轴向恒载 σ1,初始约束压力设为 σ3。采用侧向卸载法模拟巷道开挖后水平应力的缓慢卸载过程,力卸载速度单位为 Pa/步。在 UDEC 离散单元中,岩石被认为是由岩块和节理面组成的结构。岩块和节理有各自的微参数。这些微参数无法通过实验室力学试验直接获得,因此需要在模拟前进行反演校准[24, 25]。参数标定过程如下:首先,通过单轴压缩实验获得煤和岩石分块的变形模量(E)和泊松比(μ)。根据国际岩石力学学会(ISRM)的规定,单轴压缩校核试验采用直径为 50 mm、高度为 100 m 的煤岩裂隙样品,数值模型与校核样品尺寸一致[26]。图 7 显示了单轴压缩下煤块和岩块样品的数值结果和实验结果。数值模型中的块体体积模量(K)和剪切模量(G)可通过以下公式(13)和公式(14)计算得出[27]。表 3 显示了校准后煤块和岩块的微观参数。接缝的法向刚度 kn 和剪切刚度 ks 由公式 (15) 和公式 (16) [27] 得出。表 4 显示了校准后的接缝法向刚度和剪切刚度。其中,ΔΖmin 是垂直方向上接触邻接区的最小宽度。巴西圆盘使用了直径为 50 毫米、厚度为 25 毫米的圆盘试样,数值模型与校准试样尺寸一致[28]。图 8 显示了巴西圆盘测试下煤和岩石分型样本的数值和实验结果。 其中,nc 为接触点个数,fs 和 fʹs 分别为接触点当前和之前的剪切力,us 为一个时间步长内剪切位移的增量;Ukw 通过求和各网格点的动能来计算[27]。在初始卸载阶段,Ujf 和 Uk 的值相对较小,并随着卸载时间的增加而逐渐增大,且两者与整体变化具有较强的耦合性。在粘滑前兆阶段,Ujf 很快达到高值,然后基本保持稳定,而 Uk 值始终在 0 左右,这表明 Ujf 对粘滑和不稳定的响应早于 Uk。在粘滑和失稳阶段,耗散能量迅速增加,能量 Ujf 的峰值随 CRCS 的粘滑和失稳而波动,但动能逐渐增加。总的来说,侧向卸载会诱发 CRCS 的粘滑和失稳。通过对粘滑和失稳特征的分析可以发现,剪应力的异常增大可以作为 CRCS 粘滑和失稳的前兆信息,剪应力的峰值点可以作为粘滑和失稳的起点。根据裂缝发展特征的分析,煤的失稳表现为断裂,岩石分层的失稳表现为滑移。根据耗能特性分析,滑移耗能对粘滑和失稳的响应早于动能,滑移耗能的异常增加也可作为粘滑和失稳的前兆。随着粘滑的发生,CRCS 的动能逐渐增大,这也是滑移诱发岩爆发生的直接原因。巷道掘进速度不同,围岩体的应力卸荷速度也不同。一般来说,掘进速度越快,应力卸载速度也越快。为了研究卸载速度对 CRCS 粘滑和失稳的影响,我们对不同卸载速度下的 CRCS 粘滑和失稳进行了模拟。图 14 显示了不同卸载速度下水平应力与时间的关系曲线。在剪应力方面,随着卸载速度的增加,累积阶段的应力累积速度变快,但剪应力峰值基本稳定。这说明界面剪应力的峰值与卸载速度无关。当剪应力达到峰值且卸载速度为 40 Pa/step 时,界面的剪应力会以 0.12 MPa 的速度骤降,骤降时间为 0.02 ms,峰值裂纹数为 39。剪应力骤降和峰值裂纹数表明界面有明显的断裂现象。当卸载速度为 25 Pa/step 时,剪应力下降 0.01 MPa,骤降时间为 0.02 ms,峰值裂纹数为 36,断裂速度和峰值裂纹数逐渐减慢。当卸载速度为 15 Pa/step 时,峰值后没有明显的剪应力下降。这说明随着卸载速度的降低,界面的失稳特性将从断裂失稳转变为粘滑失稳。对于剪切位移的变化曲线,卸载速度越小,剪切位移的滑移-稳定-滑移现象越明显。由此可以得出结论,卸载速度会影响 CRCS 的粘性滑移和不稳定性。卸载速度越小,粘性滑移和不稳定性越明显。从图 16 可以看出,随着卸载速度的增加,释放的总能量逐渐减少。确定系数为 0.99567,表明横向卸载释放的能量与卸载速度之间存在明显的幂函数关系。当卸载速度为 15 Pa/step 时,释放的总能量为 47.23 J,当卸载速度为 40 Pa/step 时,释放的总能量为 16.71 J,释放的能量减少了 2。 通过理论计算指出,卸载速度和接触面的粗糙度会影响 CRCS 的粘滑不稳定性,并使用自编卸载程序对横向卸载下的数值模型进行了测试。结果表明,沿接触面的粘滑失稳是导致 CRCS 失稳的主要原因。通过改变数值模型的参数,研究了卸载速度和接触面粗糙度对 CRCS 粘滑失稳的影响。提出了降低巷道周围煤/岩体卸载速度和提高接触面粗糙度的方法,以防止煤层卸载掘进与岩石停放引发的冲击事故。本手稿中的数据可在https://doi.org/10.5061/dryad.41。作者声明与本文的研究、作者身份和/或发表没有潜在的利益冲突。河南省高等学校重点科研项目(23A440012、24A440011)、河南省重点研发推广项目(212102310030)、浙江省山区地质灾害防治协同创新中心(PCMGH-2022-05)、南阳理工学院交叉科学项目(NGJC-2022-02)、南阳理工学院博士科研启动基金项目,在此一并致谢。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Numerical Study on Characteristics of Stick-Slip Instability of Coal-Rock Parting-Coal Structure under Lateral Unloading
Unloading excavation can increase the possibility of rock burst, especially for coal seam with rock parting. In order to explore the evolution process of rock burst under lateral unloading, the combination of in situ measures and numerical experiments is used to study. The following four points were addressed: (1) the coal seam with rock parting easily causes the stick-slip and instability along the interface, and the process of stick-slip and instability has hysteresis characteristics; (2) the greater the degree of unloading or the smaller the interface friction angle of the Coal-Rock Parting-Coal Structure (CRCS), the more likely it is for stick-slip and instability to occur; (3) the abnormal increase of shear stress and slip dissipation energy can be used as the precursory information of the stick-slip and instability of CRCS; (4) the damage intensity of rock burst induced by stick-slip and instability of CRCS can be reduced by reducing the unloading speed or increasing the roughness of interface. The research results can be used for early warning and controlling of dynamic disaster induced by stick-slip instability in coal seam with rock parking.The slip-staggered rock burst is caused by the slip dislocation of the internal related structure, which mainly occurs in the fault, coal seam separation, and abnormal change area of coal seam dip angle. The coal seam separation is a typical occurrence structure in coal mines of China, which causes the transformation of coal and rock structures, and commonly the Coal-Rock Parting-Coal Structure (CRCS) is formed by rock parting upper and lower coal seams [1, 2]. The natural CRCS is in a stable triaxial stress state. The process of roadway excavation can cause the redistribution of surrounding rock stress and cause the horizontal stress to be gradually released, and the CRCS also changes from a three-dimensional stress state to a lateral unloading state [3-6]. As the interface of coal and rock parting is weak, the process of lateral unloading may cause stick-slip and instability along the weak surface, which easily leads to rock burst accidents.In recent years, with the rapid development of science and technology, the research methods of rock mechanics are gradually enriched. The deformation and failure mechanism of unloading coal/rock mass is gradually revealed, and the mechanism of stick-slip instability of the contact surface is also constantly verified [7]. Such as He et al. [8-10] designed a true-triaxial rock burst test simulation system and simulated the lateral sudden unloading process caused by deep rock excavation. Lu et al. [11] studied the precursory characteristics of rock burst induced by fault stick-slip instability through field observations and biaxial direct shear friction experiments and explained the influence of friction coefficient on stick-slip instability. Liu et al. [12] confirmed that the rock parting structure also has the characteristics of stick-slip and instability under the influence of mining activities. Generally speaking, the current research focuses on the single-factor failure mechanism of coal/rock mass unloading failure or contact face stick-slip instability, but research on the coupling mechanism of unloading failure and contact face stick-slip instability is rare. Especially, the mechanism of stick-slip instability caused by lateral unloading. Therefore, it is particularly important to study the stick-slip instability mechanism of CRCS under the lateral unloading.Numerical simulation has been widely accepted for its unique repeatability and data diversity, especially Universal Distinct Element Code (UDEC). The newly added triangular element can effectively simulate the fracture expansion of coal/rock mass, and the embedded fish program can also complete the tracking and positioning of fractures [13, 14]. Bai et al. [15] used a Discrete Element Method(DEM) investigation of the fracture mechanism of rock disc containing hole(s) and its influence on tensile strength and explored the effects of pore location, size, and quantity on its tensile strength and fracture. Zhang et al. [16] used the UDEC Trigon block model to study the initiation, propagation, and evolution of fractures in composite coal and rock samples and explored the influence of coal and rock height on the mechanical properties of composite coal and rock samples. Lu et al. [17] simulated the failure and instability process of coal seam with rock parting using UDEC discrete element software and pointed out the coupling instability mechanism between coal and rock fractures and contact surface slipping. The numerical results were compared with on-site measurements, and the two results were basically consistent, indicating the applicability of the UDEC Trigon block model.Based on this, this paper takes the C5301 working face of Yunhe Coal Mine (YCM) as the research background of structural sliding induced by driving coal seam with rock parking and uses UDEC numerical simulation technology to study the stick-slip instability process of CRCS, and the influence of unloading speed and joint roughness coefficient (JRC) on the stick-slip instability of composite structure is studied and puts forward the prevention measures of stick-slip instability impact disaster induced by lateral unloading. The research results can be used for early warning and controlling of dynamic disaster induced by stick-slip instability in coal seam with rock parking.The YCM is located in Jining City, Shandong Province, China. Figure 1 shows the plane layout of the C5301 longwall face. The elevation of the C5301 longwall face is from −600 m to −684 m, and the average is −642 m. The thickness of the mining #3 coal seam is 5.4–10.3 m with an average of 8.1 m, and the dip angle is 9°–20° with an average of 14°. Table 1 shows the lithology of coal and rock strata in the longwall face. There is a rock parting in the coal seam of the C5301 longwall face (in Figure 1). The rock parting is composed of siltstone and pyrite loose crystal, with a thickness of 0.5–7 m, which is gradually thinned from the northwest to the southeast.Microseism (MS) is a monitoring method that uses the wave effects produced by rock fracture to carry out positioning, which is widely used in coal mine and tunnel engineering [18, 19]. The KJ648 MS system and nineteen geophones were installed in the YCM. The system can complete the functions of real-time monitoring, data processing, and three-dimensional visualization of the source. Based on the principle of microseismic arrival time difference and arrival time difference quotient [20]. A total of four geophones were arranged around the C5301 longwall face (in Figure 1), which were named as C5301p1, C5301p2, C5301g1, and C5301g2, respectively. Table 2 shows the three-dimensional coordinates of four geophones.From December 10, 2018, to January 10, 2019, the advancing distance of the C5301 longwall face was 116 m. During the roadway excavation, large energy MS event frequently occurred in the rock parting area, which was possibly associated with the stick-slip instability of the CRCS.The variations of MS events and peak energy during the headentry excavation are shown in Figure 2. Both event counts and peak energy show a distinct “accumulation-release-accumulation” cycle. Lu et al. [21] pointed out that there is an obvious vibration mutation during the fault stick-slip and instability process, which is a typical energy accumulation process. This is consistent with the characteristics of vibration change caused by the excavation in the rock parting area. It was observed that when the energy accumulated to the condition of slip, the slip and instability process will occur along the interface of CRCS. Meanwhile, due to the irregularity of the interface, the friction coefficient gradually changes with the roughness of the interface during slip and instability. Therefore, the slip and instability process of the CRCS shows the “slip-stability-slip” phenomenon, which is consistent with the fault stick-slip instability.Figure 3 shows the plane location of the sources in the C5301 longwall face. At the beginning of the C5301 headentry excavation, the source was mainly concentrated on the area where the thickness of the rock parting obviously changed. On December 22, 2018, an MS event with the energy of 3.39 × 105 J was located (>105 J), defined as a strong mine earthquake, which is called Strong Mine Earthquake (SME). Through the analysis, it was caused by the disturbance of the initial excavation, which led to the stick-slip and instability of CRCS in the −725 north headentry. With the roadway advancing to the rock parting area, the sources gradually transferred to both sides and rear of the roadway. From December 26, 2018, to January 10, 2019, three large energy MS events occurred, with the energy of 1.70 × 105, 1.20 × 105, and 1.43 × 105 J, respectively, two of which were located near the roadway. It was proved that the stick-slip instability of CRCS induced by roadway excavation has obvious hysteresis characteristics.The horizontal stress is a step-type decreasing trend as the deep rock mass is excavated [22]. Based on the occurrence characteristics of rock parting in the C5301 longwall face, the mechanical model of stick-slip and instability of CRCS under lateral unloading was established. Figure 4 shows the stress conditions of CRCS.Where σθ is the normal stress, σ3 and σ′3 are the horizontal stress, τ1 and τθ are the shear stress, l and h are the model width and height, θ is the angle of interface.Assuming that the coal and rock blocks are rigid and there is no damage in the block, thenWhen the horizontal stress decreases gradually by lateral unloading, thenWhere N and Δδ are unloading step and unloading gradient. ThereforeIfThen, A is a fixed value. Therefore,The slip and instability of CRCS are closely related to unloading steps and gradient under lateral unloading. The longer the unloading step, the larger the unloading gradient, and the easier the slip of CRCS.The friction force of the interface also has an important influence on the slip and instability of CRCS. When the CRCS is slipping, the normal stress and shear stress of the interface can be expressed asWhere φ is the friction angle.Substituting the equation (7) into the equation (4):IfThenThis shows that f(φ) is a monotone-increasing function. Therefore, the higher the friction angle, the more stable the CRCS.The slipping of the interface includes stick and steady slips. Stick-slip refers to the slipping process if the shear stress of the interface continuously increases and decreases sharply during slipping, while the steady slip refers to the slipping process when the shear stress of the contact surface is basically stable [23]. Figure 5 shows the process of stick-slip instability, which is divided into four processes: initial occlusion, upslope, downslope, and reocclusion. During the process of slipping upslope, normal stress (σ) plays a negative role, otherwise σ plays a positive role. According to Jaeger’s law of friction:Where τ1 andτʹ1 are the shear stress of interface on the upslope and downslope, respectively, τmax and τmax ʹ are the maximum shear stress of interface on the upslope and downslope, respectively, μ and σ are the friction coefficient and normal stress of interface, c is the cohesion of interface, Δτ is the fluctuating value of shear stress of interface during upslope and downslope.Assuming that the slope angles on both sides are consistent and the block is not ruptured, the shear stress will fluctuate with the upslope and downslope of the interface, and the fluctuation value of shear stress is Δτ=2μσ⁠. At the same time, when the horizontal stress F generated by lateral unloading is constant, the slip velocity of the interface will fluctuate with the change of the shear stress, which is also the reason for stick-slip.Based on the field survey and mechanical analysis of the rock parting structure, a numerical model of UDEC is established to study the stick-slip and instability of CRCS caused by lateral unloading, and the numerical model is shown in Figure 6. The width and height of the model are 50 and 100 mm, respectively, and two rigid loading plates are set at the top and bottom. The bottom loading plate is fixed, the top loading plate maintains the axial constant load σ1, and the initial confining pressure is set to σ3. The method of lateral unloading is used to simulate the process of slow unloading of horizontal stress after roadway excavation, and the unit of force unloading speed is Pa/step. The structural plane is set as a wave-shaped occluded structure to simulate the stick-slip effect caused by the slip of the structural plane.In the UDEC discrete element, rock is considered to be a structure composed of rock blocks and joint surfaces. The block and joint have their own microparameters. These microparameters cannot be directly obtained through the laboratory mechanical test, so the inversion calibration is required before the simulation [24, 25]. The parameters calibration process is as follows:First, the deformation module (E) and Poisson’s ratio (μ) of coal and rock parting are obtained by uniaxial compression experiment. According to International Society for Rock Mechanics(ISRM), coal and rock parting samples with a diameter of 50 mm and a height of 100 m were used for uniaxial compression calibration testing, and the numerical model was consistent with the calibration sample size [26]. Figure 7 shows the numerical and experimental results of coal and rock parting samples under uniaxial compression.The bulk modulus (K) and shear modulus (G) of the blocks in the numerical model can be calculated with the following equation (13) and equation (14) [27]. Table 3 shows the microparameters of coal and rock parting blocks after calibration.The normal stiffness kn and shear stiffness ks of joints are obtained by equation (15) and equation (16) [27]. Table 4 shows the normal and shear stiffness of joints after calibration.Where ΔΖmin is the smallest width of the zone adjoining the contact in the vertical direction.Second, Brazil disc testing is used to calibrate the cohesion (c), friction angle (φ), and tensile strength (σt) of contacts. Brazil disc used a disk specimen with a diameter of 50 mm and a thickness of 25 mm, and the numerical model was consistent with the calibration sample size [28]. Figure 8 shows the numerical and experimental results of coal and rock parting samples under Brazil disc testing.The tensile strength of Brazil disc numerical testing is calculated by Eq. (17) [15]. Table 5 shows the microparameters of joints after calibration.Where D is the diameter, t is the thickness, and F is the applied diametrical load when failure.Finally, the microparameters of contact are adjusted repeatedly until the microparameters of numerical simulations and laboratory tests are consistent.Table 6 shows the error values of uniaxial compressive strength and tensile strength. The errors of uniaxial compressive strength are 2.19% and 1.49%, respectively, and the tensile strength are 5.08% and 1.33%, respectively, with relatively small errors. Therefore, it was proved that the microparameters can better reflect the macromechanical properties of coal and rock parting, and the microparameters are feasible.During the coal seam deposition process, the coal and the rock parting will occupy each other, presenting a curved occlusion-up interface. In order to quantitatively analyze the roughness of the interface, the JRC is introduced. The JRC was first proposed by Barton [29], and ten standard curves were provided. Initially, the JRC of the fracture profile was obtained by visual comparison and reference evaluation. But this method has obvious experience, blindness, and randomness. Afterward, many scholars have been working on the quantitative measurement of JRC by different methods. Tse and Cruden [30] obtained the relationship between JRC and the root-mean-square Z2 satisfies Eq. (18) by studying Barton’s standard contour curve.Where L is the total span of interface,xi+1 and xi are the axial coordinate of the first i+1 and the first i joint discrete points of xi , respectively, yi+1 and yi are the y axis coordinates of the first i+1 and the first i joint discrete points, respectively, and n is the number of discrete points on the interface. There is a close correspondence between JRC and Z2 with the correlation coefficient of 0.9863. In order to simulate the effect of JRC on the stick-slip and instability of CRCS, different JRC parameters are chosen as the initial occlusion up interface.Figure 9 shows the variation curve of shear stress, shear displacement, and fracture development of interface under lateral unloading. With the slip and instability of the CRCS under lateral unloading, the shear stress shows a wave-like change characteristic, and the shear displacement shows a step-type change of “slip-stable-slip.” The fracture of the interface shows “rupture-intact-rupture” feature. These three typical characteristics are consistent with the results of a stick-slip experiment conducted by Lu et al. [11]. Under lateral unloading, the interface shear stress, shear displacement, and crack development process can be divided into the following four stages:Shear stress reversal stage: At this time of stress balance, the initial shear stress direction of the interface is along the negative direction of the X-axis. After unloading, the shear stress value gradually decreases until the final shear stress is 0. This phenomenon is caused by the change of the direction of static friction on the interface due to lateral unloading.Shear stress accumulation stage: The shear stress gradually accumulates without obvious shear slip and crack development. It should be noted that the microshear displacement is microdeformation caused by the different elastic modulus of the coal and rock. The accumulation of shear stress is the main reason for the stick-slip hysteresis characteristics of the interface.The precursor of stick-slip and instability stage: At this stage, the cracks begin to develop, but the number is relatively small. The shear displacement is basically unchanged, but the accumulation of shear stress obviously increases until the shear stress peak. The abnormal increase of the shear stress can be used as the precursor of the stick-slip and instability.Stick-slip and instability stage: With the decrease of the waveform of the shear stress on the interface, the shear displacement and cracks show a step-by-step growth. Shear stress, shear displacement, and crack development show obvious stick-slip characteristics.Shear stress reversal stage: At this time of stress balance, the initial shear stress direction of the interface is along the negative direction of the X-axis. After unloading, the shear stress value gradually decreases until the final shear stress is 0. This phenomenon is caused by the change of the direction of static friction on the interface due to lateral unloading.Shear stress accumulation stage: The shear stress gradually accumulates without obvious shear slip and crack development. It should be noted that the microshear displacement is microdeformation caused by the different elastic modulus of the coal and rock. The accumulation of shear stress is the main reason for the stick-slip hysteresis characteristics of the interface.The precursor of stick-slip and instability stage: At this stage, the cracks begin to develop, but the number is relatively small. The shear displacement is basically unchanged, but the accumulation of shear stress obviously increases until the shear stress peak. The abnormal increase of the shear stress can be used as the precursor of the stick-slip and instability.Stick-slip and instability stage: With the decrease of the waveform of the shear stress on the interface, the shear displacement and cracks show a step-by-step growth. Shear stress, shear displacement, and crack development show obvious stick-slip characteristics.Stick-slip and instability of CRCS are accompanied with the formation, development, and intersection of cracks. The acoustic emission (AE) monitoring system is often used in the lab to monitor the internal damage. However, the AE can only effectively monitor the number of cracks and can not accurately describe the internal damage. Therefore, in order to quantitatively analyze the internal damage of CRCS, a fish function is used to record the total length of cracks as well as the length of shear and tensile cracks caused by stick-slip and instability of CRCS. The damage parameter (D) is proposed according to the analysis of Gao [13] and Wu [31].Where DT is the damage parameter of tensile cracks, DS is the damage parameter of shear cracks, LO is the total contact length, LS is the total length of shear cracks, and LT is the total length of tensile cracks. The D is between 0 and 1, the closer it is to 1, the higher the damage degree. Figure 10 shows the crack evolution process of CRCS through lateral unloading. Figure 11 shows the contact damage rate of the interface.At the initial unloading state, the shear stress accumulated inside the structure is small, and the structure only produces micro shear deformation. With the increase of unloading degree, the accumulated shear stress in coal-rock mass and structural plane increases gradually. When the accumulated shear stress exceeds the shear strength of the contact, the contact will slip or crack. At point (a), the unloading time is 1.54 ms, and the cracks first developed at the contact surface between the lower coal and the rock parking until the contact surface is completely broken when d = 1. The fracture development type is a shear fracture. At point (b), the shear stress accumulated on the upper interface reaches a peak. At this time, the cracks development on the upper interface occurs, and the cracks in the lower interface show a gradual closure trend. The upper and lower coal begin to produce shear failure along the top and bottom corners under the action of shear stress and gradually extend into the interior of the coal. At point (c), the cracks of the upper interface expand rapidly, and the cracks in the upper and lower coal gradually penetrate under the shear stress, but the development of cracks in the coal around the upper and lower interfaces is relatively small. This phenomenon is due to the fact that the slip unloading of coal and rock contact surface reduces the shear stress concentration degree around coal. Figure 12 shows the shear stress at points P1 and P2 in the upper coal. The shear stress at point P1 is significantly higher than that at point P2, which is a good confirmation of the accuracy of the concept. At point (d), the cracks are substantially completely penetrated. The cracks damage parameter is D = 0.19 of the upper coal, and the fracture damage parameter is D= 0.22 of the lower coal. The fracture damage value is basically equal. The ratio of the shear damage parameter (DS) and the tensile damage parameter (DT) is close to 9:1. In general, during the process of unloading instability of CRCS, the instability of coal is dominated by shear cracks, and the failure of coal is characterized by the fracture instability toward the unloading surface, the rock damage parameter is D→0⁠, and the crack development is less. However, the damage parameter of the upper interface is D→1⁠, and the damage is also dominated by shear cracks. The instability of the rock is attributed to slip instability toward the unloading surface. For the whole CRCS, the fracture on the nonunloading side is dominated by shear cracks, and the crack on the unloading side is dominated by the tensile cracks.The process of stick-slip and instability of CRCS is accompanied by energy dissipation. The energy dissipation is mainly divided into two parts: one part is the energy dissipated by friction slip between blocks and the other part is the energy released in the form of kinetic energy. In this paper, a fish function is used to monitor energy dissipated in slip (Ujf) and kinetic energy (Uk). The Ujf was calculated by summing the energy dissipated in slip at every single contact that fails in shear [27].Where nc is the number of contacts, fs and fʹs are the current and previous shear forces at the contact, respectively, and usis the increment of shear displacement during a time step.The Ukwas calculated by summing the kinetic energy of each grid point [27].Where ngp is the number of grid points, mi is the mass of grid point, and i and ui is the velocity at grid point i at the current time step.Figure 13 shows the curves of energy dissipated in slip and kinetic energy. At the initial unloading stage, the values of Ujf and Uk are relatively small and increase gradually with the unloading time, and both have a strong coupling with the overall change. At the stick-slip precursor stage, the Ujf reaches the high value quickly, and then keeps basically stable, while the value of Uk is always around 0. This shows that the response of Ujf to stick-slip and instability is earlier than Uk. At the stage of stick-slip and instability, the dissipation energy increases rapidly, and the peak value of energy Ujf fluctuates with the stick-slip and instability of CRCS, but the kinetic energy increases gradually. With the stick-slip and instability, the peak value of Uk presents fluctuating rise, which indicates that the Ujf caused by stick-slip and instability of CRCS tends to be stable gradually under the unloading, while the Uk of CRCS increases gradually.In general, lateral unloading can induce the stick-slip and instability of CRCS. From the analysis of the characteristics of stick-slip and instability, it can be found that the abnormal increase of shear stress can be used as the precursor information of the stick-slip and instability of CRCS, and the peak point of the shear stress can be used as the starting point of stick-slip and instability. Based on the analysis of crack development characteristics, the instability of coal is characterized by fracture, and the instability of rock parting is shown as slipping. Based on the analysis of energy dissipation characteristics, the response of slip dissipation energy to stick slip and instability is earlier than kinetic energy, and the abnormal increase of slip dissipation energy can also be used as a precursor of stick slip and instability. With stick slip, the kinetic energy of CRCS gradually increases, which is also a direct reason for the occurrence of the slip-induced rock burst.The roadway excavation speed is different, so the unloading speed of the stress is different in the surrounding rock mass. In general, the faster the excavation speed, the faster the stress unloading speed. In order to investigate the effect of unloading speed on the stick slip and instability of CRCS, the process of simulating stick slip and instability of CRCS is carried out under different unloading speeds. Figure 14 shows the curve of horizontal stress and time at different unloading speeds.Figure 15 shows the shear stress and shear displacement curves of the interface at different unloading speeds. For shear stress, the stress accumulation rate at the accumulation stage becomes faster as the unloading speed increases, but the peak shear stress is basically stable. This shows that the peak value of the shear stress of the interface is independent of the unloading speed. After the shear stress reaches the peak and the unloading speed is 40 Pa/step, the shear stress of the interface produces a sudden drop with a velocity of 0.12 MPa, the sudden drop time is 0.02 ms, and the number of peak cracks is 39. The sudden drop in shear stress and peak crack numbers show that the interface has an obvious fracture phenomenon. When the unloading velocity is 25 Pa/step, the shear stress decreases by 0.01 MPa, the sudden drop time is 0.02 ms, the number of peak cracks is 36, and the fracture velocity and peak crack numbers gradually slow down. When the unloading speed is 15 Pa/step, there is no obvious shear stress drop after the peak value. This shows that with the decrease in unloading speed, the instability characteristics of the interface will change from fracture instability to stick slip and instability. For the variation curve of shear displacement, the smaller the unloading speed, the more obvious the slip-stability-slip phenomenon of shear displacement. It can be concluded that the unloading speed affects the stick slip and instability of CRCS. The smaller the unloading speed, the more obvious the stick slip and instability. On the contrary, the larger the unloading speed, the more obvious the fracture instability.From Figure 16, with the increase in unloading speed, the total energy released gradually decreases. The coefficient of determination is 0.99567, which indicates that there is an obvious power function relationship between the energy released by lateral unloading and the unloading speed. When the unloading speed is 15 Pa/step, the total released energy is 47.23 J, and when the unloading speed is 40 Pa/step, the total energy released is 16.71 J, the released energy is reduced by 2.8 times, while the shear displacement is only increased by 0.25 times. The results show that the smaller the unloading speed, the more the total released energy, and the stronger the CRCS stability.In order to further explore the influence of JRC value on the stick slip and instability, the numerical simulation of UDEC is carried out by using the curved structural surfaces with different roughness coefficients. Figure 17 shows three types of JRC, and the JRC values are 4.42, 13.44, and 23.58, respectively. From Figure 18, it can be proved that with the increase of JRC, the interface changes from smooth to rough.From Figure 18, with the increase of JRC, the peaks of shear stress are 0.98, 0.87, and 0.62 MPa, the stress drop is 0.22, 0.13, and 0.02 MPa, the shear displacements are 23.54 × 10-5, 7.29 × 10-5, and 0.4 × 10-5 m, respectively, and the complete times of cracks development on the interface are 2.58, 2.97, and 3.15 seconds, respectively. The results show that the peak shear stress, stress drop, and shear displacement are inversely proportional to JRC, and the complete development time of cracks on the interface is proportional to the JRC. The smaller the JRC value, the smoother the structural plane, the higher the degree of shear stress accumulation, and the larger the peak stress drop, and the interface is characterized by fracture instability. The rougher the interface, the greater the JRC value, the greater the variation of shear stress after a peak value, and the longer the fracture development time of the interface, and the instability type is stick slip and failure.From Figure 19, the total energy released by the stick slip and instability satisfies the quadratic function relationship with the JRC, and the coefficient of determination is 0.98167. As the JRC value increases, the total energy released under the unloading path increases gradually. It indicates that the greater the roughness of the interface, the more stable the CRCS.It is observed that with the gradual release of horizontal stress, the CRCS will produce slip instability along the interface. Both the unloading speed and the JRC can affect the slip instability of CRCS. When the unloading speed is reduced and the JRC is increased, the shear displacement generated by the slip decreases gradually, and the total energy released increases gradually; the instability of the interface can be transferred from break-slip to stick-slip, and the CRCS will stabilize gradually. Therefore, the stability of the CRCS can be increased by reducing the unloading speed around the roadway or increasing the JRC of the interface (such as timely support, improving support strength, grouting reinforcement, blasting rock parting, etc.), which will reduce the possibility of impact disaster accidents.Based on the analysis of field data, this paper puts forward the research subject of stick-slip instability along the coal rock contact surface when unloading excavation of coal seam with rock parking. At the same time, the stick-slip instability has obvious hysteresis characteristics that are pointed out. This hysteresis characteristic provides the possibility to prevent the impact disaster accident induced by unloading excavation of coal seam with rock parking.Based on the analysis of the occurrence state of coal seam with rock parking, a theoretical model of CRCS is proposed. Through theoretical calculation, it is pointed out that the unloading speed and roughness of the contact surface will affect the stick-slip instability of the CRCS.A self-compiled unloading program is used to test the numerical model under lateral unloading. The results show that the stick-slip instability along the contact surface is the main reason for the instability of the CRCS. Meanwhile, the rapid increase of shear stress and the abnormal increase of slip dissipation energy are the precursory signals of stick-slip instability.The effects of unloading speed and roughness of contact surface on the stick-slip instability of CRCS are studied by changing the parameters of the numerical model. The methods to reduce the unloading speed of coal/rock mass around the roadway and increase the roughness of contact surface are put forward to prevent the impact accidents induced by unloading excavation of coal seam with rock parking.Based on the analysis of field data, this paper puts forward the research subject of stick-slip instability along the coal rock contact surface when unloading excavation of coal seam with rock parking. At the same time, the stick-slip instability has obvious hysteresis characteristics that are pointed out. This hysteresis characteristic provides the possibility to prevent the impact disaster accident induced by unloading excavation of coal seam with rock parking.Based on the analysis of the occurrence state of coal seam with rock parking, a theoretical model of CRCS is proposed. Through theoretical calculation, it is pointed out that the unloading speed and roughness of the contact surface will affect the stick-slip instability of the CRCS.A self-compiled unloading program is used to test the numerical model under lateral unloading. The results show that the stick-slip instability along the contact surface is the main reason for the instability of the CRCS. Meanwhile, the rapid increase of shear stress and the abnormal increase of slip dissipation energy are the precursory signals of stick-slip instability.The effects of unloading speed and roughness of contact surface on the stick-slip instability of CRCS are studied by changing the parameters of the numerical model. The methods to reduce the unloading speed of coal/rock mass around the roadway and increase the roughness of contact surface are put forward to prevent the impact accidents induced by unloading excavation of coal seam with rock parking.The data in this manuscript are available. https://doi.org/10.5061/dryad.41ns1rndr.The authors declared no potential conflicts of interest with respect to the research, authorship, and/or publication of this article.We gratefully wish to acknowledge The Key Scientific Research Projects for Higher Education of Henan Province (23A440012, 24A440011) and The Key R & D and promotion projects in Henan Province (212102310030) and Collaborative Innovation Center for Prevention and Control of Mountain Geological Hazards of Zhejiang Province (PCMGH-2022-05) and Interdisciplinary Sciences Project (NGJC-2022-02), Nanyang Institute of Technology and Doctoral Research Start-up Fund Project, Nanyang Institute of Technology.
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来源期刊
Lithosphere
Lithosphere GEOCHEMISTRY & GEOPHYSICS-GEOLOGY
CiteScore
3.80
自引率
16.70%
发文量
284
审稿时长
>12 weeks
期刊介绍: The open access journal will have an expanded scope covering research in all areas of earth, planetary, and environmental sciences, providing a unique publishing choice for authors in the geoscience community.
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