On the Riemann Problem for the Foam Displacement in Porous Media with Linear Adsorption

IF 1.9 4区数学 Q1 MATHEMATICS, APPLIED

SIAM Journal on Applied Mathematics Pub Date : 2024-03-29 DOI:10.1137/23m1566649

Giulia C. Fritis, Pavel S. Paz, Luis F. Lozano, Grigori Chapiro

引用次数: 0

Abstract

SIAM Journal on Applied Mathematics, Volume 84, Issue 2, Page 581-601, April 2024.
Abstract. 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.

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论线性吸附多孔介质中泡沫位移的黎曼问题

SIAM 应用数学杂志》第 84 卷第 2 期第 581-601 页，2024 年 4 月。摘要受具有线性吸附的多孔介质中泡沫位移的启发，我们扩展了现有的框架，以非严格双曲守恒律系统描述含有活性示踪剂的两相流。我们提出了组成这一解决方案的可能波序，从而解决了全局黎曼问题。虽然所有黎曼数据的问题都得到了很好的解决，但有一个参数区域的解缺乏结构稳定性。我们验证了在最常用的地球科学商业求解器 CMG-STARS 上实施的模型，该模型描述了多孔介质中的泡沫位移与吸附，满足应用所开发理论的假设，导致某些参数区域的结构稳定性丧失。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

SIAM Journal on Applied Mathematics 数学-应用数学

CiteScore

3.60

自引率

0.00%

发文量

审稿时长

12 months

期刊介绍： SIAM Journal on Applied Mathematics (SIAP) is an interdisciplinary journal containing research articles that treat scientific problems using methods that are of mathematical interest. Appropriate subject areas include the physical, engineering, financial, and life sciences. Examples are problems in fluid mechanics, including reaction-diffusion problems, sedimentation, combustion, and transport theory; solid mechanics; elasticity; electromagnetic theory and optics; materials science; mathematical biology, including population dynamics, biomechanics, and physiology; linear and nonlinear wave propagation, including scattering theory and wave propagation in random media; inverse problems; nonlinear dynamics; and stochastic processes, including queueing theory. Mathematical techniques of interest include asymptotic methods, bifurcation theory, dynamical systems theory, complex network theory, computational methods, and probabilistic and statistical methods.