FINITE ELEMENT METHOD AND ANALYSIS FOR CHEMICAL-FLOODING SIMULATION

作     者：YUAN Yirang(Institute of Mathematics, Shandong University, Jinan 250100, China) 

作者机构：山东大学数学所 山东 济南 250100 

出 版 物：《Systems Science and Mathematical Sciences》 (SYSTEMS SCIENCE AND MATHEMATICAL SCIENCES)

年 卷 期：2000年第13卷第3期

页      面：302-308页

核心收录：

学科分类：07[理学] 070102[理学-计算数学] 0701[理学-数学] 

基　　金：国家973计划 国家教育部高等学校博士学科点专项科研基金 国家自然科学基金 

主　　题：Chemical-flooding cross interference 3-dimensional fractional steps characteristic finite element method L^2 error estimates 

摘      要：This article discusses the enhanced oil recovery numerical simulation of the chemical-flooding (such as surfactallts, alcohol, polymers) composed of three-dimensional multicomponent, multiphase and incompressible mixed fluids. The mathematical model can be described as a coupled system of nonlinear partial differential equations with initialboundary value problerns. viom the actual conditions such as the effect of cross interference and the three-dimensional charederistic of large-scale science-engineering computation,this article puts forward a kind of characteristic finite element fractional step schemes and obtain the optimal order error estdriates in L2 norm. Thus we have thoroughly solved the well-known theoretical problem proppsed by a famous scientist, R. E. Ewing.