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A new fracture connectivity evaluation parameter, calculated by the integral average of the linear fitting curve between the coordination number and the corresponding average radius of many maximum spheres in the pore network model, is proposed. This method is more objective for evaluating fracture connectivity. The results indicate that with increasing tectonic action, fracture connectivity improves. Based on skeleton model data, we found a power-law relationship between the equivalent diameter of the fracture and the cumulative volume. Using this relationship and the capillary model assumption, we rederived expressions for total gas seepage flux and permeability applicable to fractures that do not conform to the tortuous fractal theory. Additionally, we discovered that the fracture aperture follows a log-normal distribution and derived an improved cube model’s mathematical formula based on this. 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引用次数: 0
摘要
研究煤炭中各种外部应力形成的断裂结构的空间和尺寸分布对于了解煤储层中的断裂演化和甲烷渗流行为至关重要。为了估算三维空间中微观尺度断裂的特征,利用 X 射线计算机显微层析技术建立了数字重建断裂模型。应用两种反映拓扑特征的算法来定量描述煤炭裂缝的特征。结果表明,构造应力对断裂的各向异性有负面影响,降低了与主方向近似平行或垂直的断裂频率。研究提出了一种新的断裂连通性评价参数,该参数由孔隙网络模型中许多最大球体的配位数与相应平均半径的线性拟合曲线的积分平均值计算得出。这种方法在评价断裂连通性方面更加客观。结果表明,随着构造作用的加剧,断裂连通性会得到改善。根据骨架模型数据,我们发现断裂等效直径与累积体积之间存在幂律关系。利用这一关系和毛细管模型假设,我们重新推导出了适用于不符合曲折分形理论的断裂的总气体渗流通量和渗透率表达式。此外,我们还发现裂缝孔径呈对数正态分布,并据此推导出改进的立方体模型数学公式。这些发现对于揭示不同断裂结构如何影响瓦斯渗流具有重要意义,并为开发预测煤储层瓦斯渗流的理论模型奠定了基础。
Quantitative Characterization and Analysis of Multiple Fracture Structures from Original Coal and Tectonic Coal by μCT
Investigating the spatial and size distributions of fracture structures formed by various external stresses in coal is essential for understanding fracture evolution and methane percolation behavior in coal reservoirs. To estimate the characteristics of microscale fractures in three-dimensional space, X-ray computed microtomography was used to establish digital reconstructed fracture models. Two algorithms that reflect topological features were applied to quantitatively characterize coal fractures. The results show that tectonic stress negatively affects the anisotropy of fractures, reducing the frequency of fractures that are approximately parallel or perpendicular to the main direction. A new fracture connectivity evaluation parameter, calculated by the integral average of the linear fitting curve between the coordination number and the corresponding average radius of many maximum spheres in the pore network model, is proposed. This method is more objective for evaluating fracture connectivity. The results indicate that with increasing tectonic action, fracture connectivity improves. Based on skeleton model data, we found a power-law relationship between the equivalent diameter of the fracture and the cumulative volume. Using this relationship and the capillary model assumption, we rederived expressions for total gas seepage flux and permeability applicable to fractures that do not conform to the tortuous fractal theory. Additionally, we discovered that the fracture aperture follows a log-normal distribution and derived an improved cube model’s mathematical formula based on this. These findings are significant for revealing how different fracture structures affect gas seepage and provide a foundation for developing theoretical models to predict gas seepage in coal reservoirs.
期刊介绍:
-Publishes original research on physical, chemical, and biological aspects of transport in porous media-
Papers on porous media research may originate in various areas of physics, chemistry, biology, natural or materials science, and engineering (chemical, civil, agricultural, petroleum, environmental, electrical, and mechanical engineering)-
Emphasizes theory, (numerical) modelling, laboratory work, and non-routine applications-
Publishes work of a fundamental nature, of interest to a wide readership, that provides novel insight into porous media processes-
Expanded in 2007 from 12 to 15 issues per year.
Transport in Porous Media publishes original research on physical and chemical aspects of transport phenomena in rigid and deformable porous media. These phenomena, occurring in single and multiphase flow in porous domains, can be governed by extensive quantities such as mass of a fluid phase, mass of component of a phase, momentum, or energy. Moreover, porous medium deformations can be induced by the transport phenomena, by chemical and electro-chemical activities such as swelling, or by external loading through forces and displacements. These porous media phenomena may be studied by researchers from various areas of physics, chemistry, biology, natural or materials science, and engineering (chemical, civil, agricultural, petroleum, environmental, electrical, and mechanical engineering).