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

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.