非均质油藏多尺度混合有限元数值模拟方法

doi:10.7623/syxb201203014

石油学报 ›› 2012, Vol. 33 ›› Issue (3): 442-447.DOI: 10.7623/syxb201203014

非均质油藏多尺度混合有限元数值模拟方法

姚　军　张　娜　黄朝琴　王月英

中国石油大学石油工程学院　山东青岛　266580

收稿日期:2011-11-23 修回日期:2012-02-28 出版日期:2012-05-25 发布日期:2012-07-20
通讯作者: 姚　军
作者简介:姚　军，男，1964年3月生，1984年毕业于华东石油学院，现为中国石油大学(华东)教授、博士生导师，主要从事油气田开发工程的教学和科研工作。
基金资助:
国家重点基础研究发展规划(973)项目(2011CB201004) 和高等学校学科创新引智计划项目资助。

Multiscale mixed finite element numerical simulation for heterogeneous reservoirs

YAO Jun　ZHANG Na　HUANG Zhaoqin　WANG Yueying

Received:2011-11-23 Revised:2012-02-28 Online:2012-05-25 Published:2012-07-20

摘要/Abstract

摘要：

采用多尺度混合有限元方法研究了强非均质油藏中的油水两相渗流问题。与传统有限单元法相比,多尺度有限单元法的基函数具有能反映单元内参数变化的优点,因此这种方法能在大尺度上捕捉解的小尺度特征从而获得较精确的解。笔者阐述了多尺度混合有限元方法的基本原理，推导得到了油水两相渗流问题的多尺度混合有限元计算格式。数值计算结果表明，相对于传统的网格粗化技术，多尺度混合有限元能够捕捉小尺度上的非均质特征而具有更高的计算精度；而相对于普通混合有限元方法，多尺度混合有限元方法在保证计算精度的同时能够减少计算量。

关键词: 油藏数值模拟, 多尺度混合有限元, 非均质, 多尺度, 两相流

Abstract:

The water/oil two-phase seepage in severely heterogeneous reservoirs was studied by applying the multiscale mixed finite element method (MsMFEM). Compared with conventional finite element methods, the MsMFEM has an advantage of the basic function capable of reflecting changes in parameters within elements. Therefore, this method can gain a more accurate solution in large scale by capturing fine-scale features of the solution. The present paper explicitly described fundamental principles of the MsMFEM and deduced multiscale mixed finite element computing formulae for the water/oil two-phase seepage. The result of numerical calculations shows that compared with conventional reservoir upscaling techniques, the MsMFEM can get a higher degree of computing accuracy by capturing heterogeneous features in fine-scale. Thus, this method is superior to the most of conventional mixed finite element methods not only in reducing the calculated amount but also in improving computing accuracy.

Key words: reservoir numerical simulation, multiscale mixed finite element, heterogeneity, multiple scale, two-phase flow

姚　军　张　娜　黄朝琴　王月英. 非均质油藏多尺度混合有限元数值模拟方法[J]. 石油学报, 2012, 33(3): 442-447.

YAO Jun　ZHANG Na　HUANG Zhaoqin　WANG Yueying. Multiscale mixed finite element numerical simulation for heterogeneous reservoirs[J]. Editorial office of ACTA PETROLEI SINICA, 2012, 33(3): 442-447.

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非均质油藏多尺度混合有限元数值模拟方法

Multiscale mixed finite element numerical simulation for heterogeneous reservoirs

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