考虑毛管力的全张量裂缝性介质两相流拟有限差分模拟  

A mimetic finite difference simulation method of multiphase flow in fractured reservoir considering capillarity and full tensor permeability

作　　者：张娜 王少椿 李立 孙乾 刘伟[1] ZHANG Na;WANG Shaochun;LI Li;SUN Qian;LIU Wei(College of Energy Resources,Chengdu University of Technology,Chengdu 610059,China;College of Petroleum Engineering,Shandong Institute of Petroleum and Chemical Technology,Dongying 257061,China)

机构地区：[1]成都理工大学能源学院,四川成都610059 [2]山东石油化工学院石油工程学院,山东东营257061

出　　处：《中国石油大学学报（自然科学版）》2023年第1期98-105,共8页Journal of China University of Petroleum(Edition of Natural Science)

基　　金：国家自然科学基金面上项目(51974038)。

摘　　要：拟有限差分方法因具有良好的局部守恒性且适用于任意复杂网格系统,在流体力学等领域得到应用。建立基于拟有限差分法的裂缝性介质两相流模型,详细阐述拟有限差分方法的基本原理,并与离散裂缝技术相结合推导得到考虑毛管力的裂缝性油水两相渗流问题拟有限差分计算格式;采用全隐式方法对其两相流问题进行求解,克服传统求解方法不能有效处理全张量渗透率的缺陷。为了验证方法的正确性,对比不同湿润状态下的离散裂缝全隐式拟有限差分方法准确性和收敛性,并将该方法应用于油田现场实例。结果表明:当考虑毛管力时水驱替前缘缓慢穿过基质和裂缝,然后到达生产井;忽略毛管力时水在基质中的流动相对缓慢,流体在裂缝中流动迅速,快速到达生产井;该方法能够正确地模拟不同润湿状态和不同裂缝位置下的毛管力和重力情况。The mimetic finite difference method has been applied in the field of fluid mechanics, because it has good local conservation and is suitable for complex grids. In this paper, a two-phase flow model for fractured media based on the mimetic finite difference method was established, and the basic principles of the mimetic finite difference method were described in detail. In the new model, the capillarity was considered, and the corresponding scheme of fractured two-phase flow in fractured reservoirs was deduced. A full implicit scheme was used to solve the two-phase flow problem. The new method can overcome the shortcomings of the traditional method that cannot effectively deal with the full tensor permeability. In order to verify the correctness of the method and the robustness of the program, the accuracy and convergence of the mimetic finite difference method for fractured media under different wetting conditions were analyzed, and the method was also applied in a field case study. The results show that, when capillary pressure is considered, the water displacement front slowly passes through the matrix and fractures before reaching to the producing well, while the capillary pressure is ignored, the flow of water through the matrix is relatively slow, but the fluid flows rapidly through the fracture, reaching to the producing well quickly. The new method can accurately simulate the capillary pressure and gravity under different wetting conditions and at different fracture locations.

关 键 词：自发渗吸 拟有限差分 毛管力 全张量渗透率 离散裂缝 

分 类 号：TE122.14[石油与天然气工程—油气勘探]