非线性渗流多尺度有限元数值模拟  

Multiscale finite element method for nonlinear flow in porous media

作　　者：张娜[1] 姚军[2] 黄朝琴[2] 

机构地区：[1]中国石油大学(华东)储运与建筑工程学院,山东青岛266555 [2]中国石油大学(华东)石油工程学院,山东青岛266555

出　　处：《中南大学学报（自然科学版）》2015年第12期4584-4591,共8页Journal of Central South University:Science and Technology

基　　金：国家重点基础研究发展规划(973计划)项目(2011CB201004);国家自然科学基金资助项目(51234007);中国石油大学(华东)优秀博士学位论文培育计划项目(LW120201);中国博士后科学基金资助项目(2015M582169)~~

摘　　要：采用多尺度有限元法对一般的非线性椭圆型方程和与时间相关的非线性方程进行数值分析。阐述多尺度有限元法求解非线性方程的基本原理,推导相应的计算格式并编制计算程序。通过2个不同类型的非线性渗流算例验证该方法的准确性和适用性。最后,以低渗透油藏注水开发为例,对其进行多尺度有限数值模拟。研究结果表明:相对于传统的数值计算方法,多尺度有限元法具有更高的计算精度,在保证计算精度的同时能够减少计算量。The multiscale finite element method was used to simulate general nonlinear elliptic equations and time-dependent nonlinear equations. The basic principle of the multiscale finite element method for solving nonlinear equations was described, and the corresponding calculation method was derived. The accuracy and the applicability of the proposed method were verified by two different kinds of nonlinear seepage flow. Finally, based on the study of the two models, the multiscale finite element numerical simulation of the water injection of the low permeability reservoir was carried out. The results indicate that Ms FEM has higher accuracy compared to finite element method, and can reduce the computation time.

关 键 词：非线性渗流 多尺度有限元 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]