In this paper, we present a fully implicit mimetic finite difference method (MFD) for general fractured reservoir simulation. The MFD is a novel numerical discretization scheme that has been successfully applied to many fields and it is characterized by local conservation properties and applicability to complex grids. In our work, we extend this method to the numerical simulation of fractured reservoirs using discrete fracture models. The MFD scheme supports general polyhedral meshes and full tensor properties which improves the modelling and simulation of subsurface reservoirs. Furthermore, we describe in detail the principle of our MFD approach and the corresponding numerical formulations of the discrete fracture model. In our tests, we use a fully implicit scheme that assures flux conservation and simulation efficiency. Several case studies are conducted to show the accuracy and the robustness of the proposed numerical scheme.

在本文中，我们提出了一种用于一般裂缝性油藏模拟的全隐式模拟有限差分法 (MFD)。MFD 是一种新颖的数值离散化方案，已成功应用于许多领域，其特点是局部守恒性和对复杂网格的适用性。在我们的工作中，我们将此方法扩展到使用离散裂缝模型对裂缝性储层进行数值模拟。MFD 方案支持通用多面体网格和全张量属性，可改进地下储层的建模和模拟。此外，我们详细描述了我们的 MFD 方法的原理和离散断裂模型的相应数值公式。在我们的测试中，我们使用完全隐式的方案来确保通量守恒和模拟效率。