Fracture has significant effect on the production of hydrogen–carbon compound reservoirs. Underground fluid always flows through different spaces which involves different flow patterns. In this study, the embedded discrete fracture method (EDFM) to couple the flow in matrix and fracture is introduced. The Darcy flow is considered in fracture while the Pre-Darcy flow is employed in matrix. The model of two phase flow problem is established. The governing equations are coupled through multiple spatial scales. The structured mesh is applied to discrete the whole matrix domain. The fracture grids are embedded to the matrix meshes. The verification shows good accuracy of the fully implicit method for solving the model. Based on the numerical simulation, the results of 1D, 2D flow problems considering Pre-Darcy flow are presented. The characteristic of pressure and saturation is analyzed. Some numerical experiment examples are conducted to demonstrate the capability of the method including multiple wells system, complex fracture problem, and hydraulic fractured horizontal well system. Furthermore, we extend the model to 3D transport problem. The newly developed numerical simulation method improves the limitations of EDFM in Pre-Darcy flow. The newly developed simulation method can be taken as an effective tool for hydrocarbon production analysis when Pre-Darcy flow happens in fractured porous media.

裂缝对氢碳化合物储层的生产有显着影响。地下流体总是流经不同的空间，涉及不同的流动模式。在这项研究中，引入了嵌入离散裂缝方法（EDFM）来耦合基质和裂缝中的流动。裂缝中考虑 Darcy 流，而基质中采用 Pre-Darcy 流。建立了两相流问题的模型。控制方程通过多个空间尺度耦合。结构化网格应用于离散整个矩阵域。裂缝网格嵌入到矩阵网格中。验证表明，全隐式方法求解模型具有良好的准确性。在数值模拟的基础上，给出了考虑Pre-Darcy流动的一维、二维流动问题的结果。分析了压力和饱和度的特性。通过数值实验实例验证了该方法的能力，包括多井系统、复杂压裂问题和水力压裂水平井系统。此外，我们将模型扩展到 3D 传输问题。新开发的数值模拟方法改善了 EDFM 在 Pre-Darcy 流中的局限性。当Pre-Darcy流动发生在裂缝性多孔介质中时，新开发的模拟方法可以作为油气产量分析的有效工具。我们将模型扩展到 3D 传输问题。新开发的数值模拟方法改善了 EDFM 在 Pre-Darcy 流中的局限性。当Pre-Darcy流动发生在裂缝性多孔介质中时，新开发的模拟方法可以作为油气产量分析的有效工具。我们将模型扩展到 3D 传输问题。新开发的数值模拟方法改善了 EDFM 在 Pre-Darcy 流中的局限性。当Pre-Darcy流动发生在裂缝性多孔介质中时，新开发的模拟方法可以作为油气产量分析的有效工具。