Characteristic finite difference method and application for moving boundary value problem of coupled system  

作　　者：袁益让 李长峰 杨成顺 韩玉笈 

机构地区：[1]Institute of Mathematics,Shandong University [2]Physical Exploration Institute,Shengli Petroleum Administration,Shandong Province

出　　处：《Applied Mathematics and Mechanics(English Edition)》2008年第5期611-624,共14页应用数学和力学（英文版）

基　　金：the Major State Basic Research Program of China(No.G19990328);the National Tackling Key Problem Program(No.20050200069);the National Natural Science Foundation of China(Nos.10771124,10372052);the Ph.D.Programs Foundation of Ministry of Education of China(No.20030422047)

摘　　要：The coupled system of multilayer dynamics of fluids in porous media is to describe the history of oil-gas transport and accumulation in basin evolution.It is of great value in rational evaluation of prospecting and exploiting oil-gas resources.The mathematical model can be described as a coupled system of nonlinear partial differential equations with moving boundary values.A kind of characteristic finite difference schemes is put forward,from which optimal order estimates in l~2 norm are derived for the error in the approximate solutions.The research is important both theoretically and practically for the model analysis in the field,the model numerical method and software development.The coupled system of multilayer dynamics of fluids in porous media is to describe the history of oil-gas transport and accumulation in basin evolution.It is of great value in rational evaluation of prospecting and exploiting oil-gas resources.The mathematical model can be described as a coupled system of nonlinear partial differential equations with moving boundary values.A kind of characteristic finite difference schemes is put forward,from which optimal order estimates in l^2 norm are derived for the error in the approximate solutions.The research is important both theoretically and practically for the model analysis in the field,the model numerical method and software development.

关 键 词：multilayer dynamics of fluids moving boundary values characteristic finite difference l^2 error estimates numerical simulation oil deposit 

分 类 号：O241.82[理学—计算数学]