On front solutions of the saturation equation of two-phase flow in porous media

被引：5
|
作者：
Hayek, Mohamed [1 ]
机构：
[1] AF Consult Switzerland Ltd, CH-5405 Baden, Switzerland
来源：
APPLIED MATHEMATICAL MODELLING | 2014年 / 38卷 / 19-20期
关键词：
Two-phase flow; Saturation equation; Front solutions; Self-similar solutions; Travelling-wave solutions; Numerical stability; SOILS; YIELD; WATER;
D O I：
10.1016/j.apm.2014.03.033
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
We investigate the existence of "front" solutions of the saturation equation of two-phase flow in porous media. By front solution we mean a monotonic solution connecting two different saturations. The Brooks-Corey and the van Genuchten models are used to describe the relative-permeability - and capillary pressure-saturation relationships. We show that two classes of front solutions exist: self-similar front solutions and travelling-wave front solutions. Self-similar front solutions exist only for horizontal displacements of fluids (without gravity). However, travelling-wave front solutions exist for both horizontal and vertical (including gravity) displacements. The stability of front solutions is confirmed numerically. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码：4694 / 4704
页数：11
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