双重介质Stokes模型的改进变分时间步格式（英文）  

Improved Partitioned Time Stepping Scheme for the Dual-porosity-Stokes Model

作　　者：侯江勇 胡丹 徐金虎 何正康 HOU Jiang-yong;HU Dan;XU Jin-hu;HE Zheng-kang(School of Mathematics,Northwest University,Xi’an 710127;School of Sciences,Xi’an University of Technology,Xi’an 710048;School of Mathematics and Statistics,Xi’an Jiaotong University,Xi’an 710049)

机构地区：[1]西北大学数学学院,西安710127 [2]西安理工大学理学院,西安710048 [3]西安交通大学数学与统计学院,西安710049

出　　处：《工程数学学报》2019年第6期721-732,共12页Chinese Journal of Engineering Mathematics

基　　金：The National Natural Science Foundation of China(11701451);the Natural Science Foundation of Shaanxi Province(2018JQ1077);the Scientific Research Program Funded by Education Department of Shaanxi Province(17JK0787);the Young Talent Fund of University Association for Science and Technology in Shaanxi(20180504)

摘　　要：在油藏模拟问题的应用中,研究流体相在复杂多孔介质耦合管道系统中的流动规律具有重要意义.最近一种名为双重介质Stokes的模型被研究开发,它用来模拟复杂双重介质管道系统,这种系统可以用在如页岩/致密油/气藏等真实问题中.新模型由双重介质模型和Stokes方程组成,双重介质模型用来控制多孔介质流,Stokes方程用来控制自由流,两者通过四个界面条件耦合在一起.这种耦合模型会生成巨大而复杂的系统,因此通常难于求解.本文我们提出一种改进的变分时间步格式,利用它有效且精确地求解由耦合的双重介质Stokes模型所导致的大型系统.In applications of petroleum reservoir problem,it is very important to study the fluid phases within a complicated porous media coupled with conduit systems.Recently,a dual-porosity-Stokes model is developed to simulate the complicated dual-porosity-conduit system which could be used for realistic problems such as shale/tight oil/gas reservoirs.The new model consists of a dual-porosity model to govern the porous media flow and a Stokes equation to control the free flow and coupled via four interface conditions.Such coupled model is usually hard to solve since it will result into a large and complicated system.In this paper,we propose an improved partitioned time stepping scheme to efficiently and accurately solve the large system caused by the coupled dual-porosity-Stokes model.

关 键 词：双重介质模型 STOKES方程 有限元方法 解藕算法 

分 类 号：O242.21[理学—计算数学]