Diffusion and dissolution/precipitation in an open porous reactive medium

被引：11

作者：

Maisse, E ^{[1
]}

Pousin, J ^{[1
]}

机构：

[1] INST NATL SCI APPL,UMR CNRS 5585,MATH MODELLING & SCI COMP LAB,F-69621 VILLEURBANNE,FRANCE

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1997年 / 82卷 / 1-2期

关键词：

reaction-diffusion; phase change; jumping nonlinearities; semi-linear parabolic equations and differential inclusions;

D O I：

10.1016/S0377-0427(97)00049-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article a mathematical model is proposed for dissolution/precipitation with diffusion in a reactive open porous medium when many chemical species in solid phase can dissolve. For this purpose, the concept of saturation concentration for a chemical species in liquid phase is introduced and the mathematical properties of the functions representing such saturation concentrations are investigated. Then the equations of dissolution/precipitation are stated and investigated in order to be reformulated as an obstacle problem. Finally, an original mathematical model is derived, and this model can be used for predictive numerical simulations.

引用

页码：279 / 290

页数：12

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