裂缝介质渗流多尺度混合有限元数值模拟研究  

Multiscale Mixed Finite Element Numerical Simulation for Seepage in Fractured Porous Media

作　　者：张娜[1] 姚军[1] 黄朝琴[1] 王月英[1] 

机构地区：[1]中国石油大学石油工程学院,青岛266555

出　　处：《力学季刊》2013年第1期54-64,共11页Chinese Quarterly of Mechanics

基　　金：国家重点基础研究发展规划(973)项目(2011CB201004);国家重点自然基金(51234007);高等学校学科创新引智计划项目;中国石油大学(华东)优秀博士学位论文培育计划项目(LW120201)

摘　　要：针对裂缝介质具有多尺度特点,建立了Darcy/Stokes-Brinkman多尺度耦合模型,采用多尺度混合有限元方法,对裂缝介质渗流问题进行了研究。阐述了多尺度混合有限元方法的基本原理,并推导得到Darcy/Stokes-Brinkman方程的多尺度混合有限元计算格式。数值计算结果表明,大尺度Darcy模型能够捕捉到小尺度上裂缝网络渗流特征;与网格粗化、传统有限元方法相比,多尺度混合有限元方法的基函数具有能反映单元内参数变化的优点,在保证计算精度的同时能够减少计算量,对于裂缝油藏具有良好的适用性。Multiscale mixed finite element method（MsMFEM） was applied to the numerical simulation of single phase flow in fractured porous media and Darcy/Stokes-Brinkman model was developed, in which Darcy model was approximated pressure and fluxes on a coarse grid and fine-scale effects was captured by Stokes-Brinkman model. The fundamental theory of MsMFEM was explicitly described, and then the multiscale calculating formulas were deduced. The method was applied to two different test cases. The test cases demonstrate that MsMFEM can capture fine-sclae features comparing with upscaling methods~ it is better not only in calculation speed but also in accuracy, and valid for fractured reservoirs.

关 键 词：裂缝介质 多尺度混合有限元 多尺度 数值模拟 

分 类 号：TE319[石油与天然气工程—油气田开发工程]