Accurate simulation of Hydraulic fracturing in naturally fractured reservoirs significantly impacts the prediction of the fracturing treatment process. The objective of this study is to numerically analyze the hydraulic fracturing processes in a multi-layered fractured reservoir. Therefore, mechanical mass balance equations for fluids, solids, and their interactions with produced fractures were simultaneously solved in ABAQUS software based on the finite element method. According to the result of this study, by increasing the layers’ depth from layer A to Layer C, the fluid leakage rate has been increased due to the more volumes of fluid loss in higher depths. By plotting linear equations, it can be concluded that linear equations can be derived approximately for other layers without modeling all the layers by deriving one linear equation for one layer. Moreover, the maximum opening pressure for fracturing for Layer A–C is 60, 73, and 78 Mpa, respectively. It is concluded that there is higher pressure needed to opening or creating the new fractures in the formation at higher depths. On the other hand, by deriving polynomial equations for each layer, it is concluded that there is an approximate relationship for each layer, which can be expanded for other layers Moreover, by this approach, it is possible to predict the pressure difference behavior through the fracture propagation length without any unnecessary field application. Consequently, the fracture opening profile is approximately 9.5 for the deepest layer as it has the best junction with the fracture tips and the middle points of the wellbore.

中文翻译：

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多层裂缝性油藏水力压裂过程数值分析

天然裂缝性油藏水力压裂的精确模拟对压裂处理过程的预测具有重要影响。本研究的目的是对多层裂缝性油藏中的水力压裂过程进行数值分析。因此，基于有限元方法，在ABAQUS软件中同时求解流体、固体及其与产生裂缝的相互作用的机械质量平衡方程。根据这项研究的结果，通过增加从 A 层到 C 层的层深，由于深度较高的流体流失量较多，因此流体泄漏率增加。通过绘制线性方程，可以得出结论，可以近似推导其他层的线性方程，而无需通过推导一层的一个线性方程来对所有层进行建模。A~C层压裂最大开启压力分别为60、73、78 Mpa。结论是，在更深的地层中打开或产生新的裂缝需要更高的压力。另一方面，通过推导每层的多项式方程，得出每层都存在近似关系的结论，该关系可以扩展到其他层。此外，通过这种方法，可以通过以下方式预测压差行为：裂缝扩展长度，无需任何不必要的现场应用。因此，最深层的裂缝张度剖面约为 9.5，因为它与裂缝尖端和井筒中点具有最佳连接。