STABILITY OF REACTIVE FLOWS IN POROUS-MEDIA - COUPLED POROSITY AND VISCOSITY CHANGES

被引：28

作者：

CHADAM, I ^{[1
]}

PEIRCE, A ^{[1
]}

ORTOLEVA, P ^{[1
]}

机构：

[1] INDIANA UNIV,DEPT CHEM & GEOL,BLOOMINGTON,IN 47405

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 1991年 / 51卷 / 03期

关键词：

MODELING GEOLOGICAL DISSOLUTION FRONTS; POROUS MEDIA; TRAVELING WAVES; MOVING FREE BOUNDARIES; BIFURCATION AND STABILITY; REACTION-INFILTRATION INSTABILITY; SAFFMAN-TAYLOR INSTABILITY;

D O I：

10.1137/0151035

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The infiltration flow of a reactive fluid in a porous medium is investigated. The reaction causes porosity/permeability changes in the porous medium as well as viscosity changes in the fluid. The coupling of the associated reaction-infiltration and Saffman-Taylor instabilities are considered. A mathematical model for this phenomenon is given in the form of a moving free-boundary problem. The morphological instability of a planar dissolution front is demonstrated using a linear stability analysis. An unexpected simplification occurs in that the resulting fourth-order equation can be solved explicity.

引用

页码：684 / 692

页数：9

共 7 条

[1]

Abramowitz M., 1964, HDB MATH FUNCTIONS

[2]

CHADAM J, 1987, IMA J APPL MATH, V36, P207

[3]

Chadam J., 1985, SIAM J APPL MATH, V45, P1362

[4]

CHIKLIWALA ED, 1985, 60TH ANN C SOC PETR