A finite element approach for multiphase fluid flow in porous media

被引：18

作者：

Mroginski, Javier L. ^{[1
]}

Ariel Di Rado, H. ^{[1
]}

Beneyto, Pablo A. ^{[1
]}

Awruch, Armando M. ^{[2
,3
]}

机构：

[1] Univ Nacl Nordeste UNNE, Dept Mecan Aplicada, Fac Ingn, RA-3500 Resistencia, Argentina

[2] Univ Fed Rio Grande do Sul, Ctr Mecan Aplicada & Computac CEMACOM, BR-90046900 Porto Alegre, RS, Brazil

[3] Consejo Nacl Invest Cient & Tecn, RA-1033 Buenos Aires, DF, Argentina

来源：

MATHEMATICS AND COMPUTERS IN SIMULATION | 2010年 / 81卷 / 01期

关键词：

Consolidation; Immiscible pollutants; Finite elements; Multiphase porous media; Mixture theory; GENERAL CONSERVATION EQUATIONS;

D O I：

10.1016/j.matcom.2010.07.001

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The main scope of this work is to carry out a mathematical framework and its corresponding finite element (FE) discretization for the partially saturated soil consolidation modelling in presence of an immiscible pollutant. A multiphase system with the interstitial voids in the grain matrix filled with water (liquid phase), water vapour and dry air (gas phase) and with pollutant substances, is assumed. The mathematical model addressed in this work was developed in the framework of mixture theory considering the pollutant saturation suction coupling effects. The ensuing mathematical model involves equations of momentum balance, energy balance and mass balance of the whole multiphase system. Encouraging outcomes were achieved in several different examples. (C) 2010 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：76 / 91

页数：16

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