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中南大学学报(自然科学版)

Journal of Central South University

第46卷    第12期    总第256期    2015年12月

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文章编号:1672-7207(2015)12-4584-08
非线性渗流多尺度有限元数值模拟
张娜1,姚军2,黄朝琴2

(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
)

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。

 

关键字: 非线性渗流;多尺度有限元;多尺度;数值模拟

Multiscale finite element method for nonlinear flow in porous media
ZHANG Na1, YAO Jun2, HUANG Zhaoqin2

1. College of Pipeline and Civil Engineering, China University of Petroleum (Ease China), Qingdao 266555, China;
2. College of Petroleum Engineering China University of Petroleum(East China),Qingdao 266555, China

Abstract: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 MsFEM has higher accuracy compared to finite element method, and can reduce the computation time.

 

Key words: nonlinear flow; multiscale finite element method; multiple scale; reservoir numerical simulation

中南大学学报(自然科学版)
  ISSN 1672-7207
CN 43-1426/N
ZDXZAC
中南大学学报(英文版)
  ISSN 2095-2899
CN 43-1516/TB
JCSTFT
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