Integrated 3D Numerical Modelling of Pressure Behavior and Casing Response at Offset Monitor Well During Fracturing

Gongsheng Li, Nobuo Morita, D. Zhu, E. Kerr, Andrew Johnson, Katie Ross, E. Estrada, R. Scofield
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Abstract

Offset monitor wells experience stress, strain and pressure changes due to far-field fracture propagation. The pressure interference as hydraulic fractures propagate and intersect the casing directly results in a casing inner volume change and monitor well surface pressure change. The pressure behavior has been analyzed by a patented method, Sealed Wellbore Pressure Monitoring (SWPM), and it is an effective means to detect frac hits. To extend the understanding of this pressure behavior for wider applications, we proposed a methodology of simulating the casing response and corresponding pressure change of the offset well during hydraulic fracturing. The objective is to investigate the strain/pressure response along the monitor well casing for different scenarios of fracture intersection. In this study, an analytical model for computing the stress/strain in a casing-cement-formation system was developed based on the well-known solution of stress in a thick wall cylinder. The integrated numerical model consists of a fracture propagation model, a 3D geo-mechanical model, and a transient fluid flow model. Prior to analyzing the monitoring well pressure response, fracture propagation is modeled using a commercial software to give information of fracture geometry and fracture net pressure. The 3D fluid flow model and the geo-mechanical model of fractured rock and monitor well casing were established with finite-element method. With the input parameter of fracture geometry and net pressure distribution from the fracture propagation model, the integrated model can be used to solve the total stress-displacement behavior within the simulation domain. Using this approach, the volume change of the monitor well casing, and the corresponding surface pressure behavior can be estimated. The simulated strains along the monitor well casing of a radial fracture show the numerical simulation results agree well with the existing analytical solution. When a fracture crosses the monitor well, the standard surface pressure behavior is: (A) pressure increases due to fracture intersection; (B) pressure increase slows down as fracture tip travels some distance away from the casing; (C) pressure declines after the treatment well is shut-in. The first pressure increase is caused by casing radius reduction while the pressure fall-off is greatly affected by the far-field leakoff coefficient and permeability. The simulated results, and also the published data indicate that the typical pressure response for a single fracture hitting is on the order of 1 psi. When multiple fractures intersect the casing, a higher surface pressure increase is observed compared to single fracture case due to higher net pressure, and longer impacted section along the casing. Combined with the interpretation of DAS, this approach can identify the number and locations of the fractures that intersect the far field monitor well.
邻井监测井压裂过程中压力行为与套管响应的集成三维数值模拟
邻井监测井由于远场裂缝扩展而经历应力、应变和压力变化。水力裂缝扩展并与套管相交时产生的压力干扰直接导致套管内部体积的变化,并监测井面压力的变化。通过一种专利方法——密封井筒压力监测(SWPM)——对压力行为进行了分析,这是检测压裂命中的有效手段。为了扩大对这种压力行为的理解,将其应用到更广泛的应用中,我们提出了一种模拟水力压裂过程中邻井套管响应和相应压力变化的方法。目的是研究监测井套管在不同裂缝相交情况下的应变/压力响应。在此基础上,建立了套管-水泥-地层系统中应力/应变的解析模型。综合数值模型包括裂缝扩展模型、三维地球力学模型和瞬态流体流动模型。在分析监测井压力响应之前,使用商业软件对裂缝扩展进行建模,以提供裂缝几何形状和裂缝净压力信息。采用有限元法建立了三维流体流动模型和裂缝岩石及监测井套管的地球力学模型。集成模型以裂缝几何参数和裂缝扩展模型的净压力分布为输入参数,可用于求解模拟域内的总应力-位移特性。利用这种方法,可以估计监测井套管的体积变化,以及相应的地面压力变化。径向裂缝沿监测井套管的应变模拟结果表明,数值模拟结果与已有的解析解吻合较好。当裂缝穿过监测井时,标准的地面压力表现为:(a)裂缝相交导致压力增加;(B)当裂缝尖端离开套管一段距离时,压力增长减慢;(C)关井后压力下降。套管半径减小导致第一次压力升高,而压力下降受远场泄漏系数和渗透率的影响较大。模拟结果和已发表的数据表明,单次裂缝撞击的典型压力响应约为1 psi。当多道裂缝与套管相交时,由于净压力更高,沿套管的受冲击段更长,因此与单道裂缝情况相比,地表压力增加更高。结合DAS的解释,该方法可以识别与远场监测井相交的裂缝的数量和位置。
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