Hysteresis models and gravity fingering in porous media

被引：24
|
作者：
Raetz, Andreas [1 ]
Schweizer, Ben [1 ]
机构：
[1] Tech Univ Dortmund, Fak Math, D-44227 Dortmund, Germany
来源：
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2014年 / 94卷 / 7-8期
关键词：
Two-phase flow; hysteresis; gravity fingering instability; DYNAMIC CAPILLARY-PRESSURE; FLOW; FRONTS;
D O I：
10.1002/zamm.201200052
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study flow problems in unsaturated porous media. Our main interest is the gravity driven penetration of a dry material, a situation in which fingering effects can be observed experimentally and numerically. The flow is described by either a Richards or a two-phase model. The important modelling aspect regards the capillary pressure relation which can include static hysteresis and dynamic corrections. We report on analytical existence and instability results for the corresponding models and present numerical calculations. We show that fingering effects can be observed in various models and discuss the importance of the static hysteresis term. (C) 2014 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
引用
收藏
页码：645 / U138
页数：10
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