Stability Analysis of the Modified IMPES Scheme for Two Phase Flow in Porous Media Including Dynamic Capillary Pressure

被引：2

作者：

El-Amin, Mohamed F. ^{[1
,2
]}

机构：

[1] Effat Univ, Coll Engn, Jeddah 21478, Saudi Arabia

[2] Aswan Univ, Fac Sci, Math Dept, Aswan, Egypt

来源：

INTERNATIONAL CONFERENCE ON COMPUTATIONAL SCIENCE (ICCS 2017) | 2017年 / 108卷

关键词：

Two-phase flow; Porous media; Dynamic capillary pressure; IMPES; Stability analysis;

D O I：

10.1016/j.procs.2017.05.150

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, the problem of two-phase flow in porous media including dynamic capillary pressure has been studied numerically. The IMplicit Pressure Explicit Saturation (IMPES) scheme has been modified to solve the governing equations. The pressure equation is treated implicitly with the saturation equation to obtain the pressure, while the saturation equation is solved explicitly to update the saturation at each time step. We introduce stability analysis of the modified scheme and its stability condition has been derived. Comparison between the static and the dynamic capillary pressure has been introduced to illustrate the efficiency of the modified scheme. (C) 2017 The Authors. Published by Elsevier B.V.

引用

页码：2328 / 2332

页数：5

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