ON THE RIEMANN PROBLEM FOR THE FOAM DISPLACEMENT IN POROUS MEDIA WITH LINEAR ADSORPTION

被引：2

作者：

Fritis, Giulia c. ^{[1
]}

Paz, Pavel s. ^{[1
]}

Lozano, Luis f. ^{[1
]}

Chapiro, Grigori ^{[1
]}

机构：

[1] Univ Fed Juiz de Fora, Lab Appl Math LAMAP, BR-36036900 Juiz De Fora, Brazil

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 2024年 / 84卷 / 02期

关键词：

Riemann problem; foam; adsorption; porous media; HYPERBOLIC SYSTEM; CONSERVATION-LAWS; 2-PHASE FLOW; UNIQUENESS; MODELS;

D O I：

10.1137/23M1566649

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Motivated by the foam displacement in porous media with linear adsorption, we extended the existing framework for two-phase flow containing an active tracer described by a non- strictly hyperbolic system of conservation laws. We solved the global Riemann problem by presenting possible wave sequences that composed this solution. Although the problems are well-posed for all Riemann data, there is a parameter region where the solution lacks structural stability. We verified that the model implemented on the most used commercial solver for geoscience, CMG-STARS, describing foam displacement in porous media with adsorption, satisfies the hypotheses to apply the developed theory, resulting in structural stability loss for some parameter regions.

引用

页码：581 / 601

页数：21

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