基于模拟有限差分法的离散裂缝模型两相流动模拟

Two-phase flow simulation of discrete fracture model using a novel mimetic finite difference method

模拟有限差分作为一种新型数值计算方法,因其良好的局部守恒性和对复杂网格系统的适用性,在计算流体力学和油藏数值模拟中得到应用。将模拟有限差分方法进一步应用于离散裂缝流动模拟中,对模拟有限差分法的基本原理进行详细阐述,建立相应的离散裂缝数值计算格式,并采用IMPES方法对其两相流问题进行求解,并与实验结果对比。对比结果验证了新方法和程序的正确性,通过复杂离散裂缝算例进一步验证了方法的正确性和程序的鲁棒性。

The mimetic finite difference （MFD） method, as a novel numerical method, has been successfully applied to CFD and reservoir simulation due to its local conservativeness and applicability of complex grids. It was applied to the numer-ical simulation of discrete fracture model. The principle of the MFD method was described in details, and the corresponding numerical formula of the discrete fracture model was developed. An IMPES scheme was used for the solution of a two-phase flow simulation, and several case studies were conducted to show the efficiency and robustness of the proposed numerical model.