Mass and heat transport in the two-phase Buckley-Leverett model

被引：8

作者：

Akhmetzyanov, Atlas V. ^{[1
]}

Kushner, Alexei G. ^{[1
,2
]}

Lychagin, Valentin V. ^{[1
,3
]}

机构：

[1] Russian Acad Sci, VA Trapeznikov Inst Control Sci, 65 Profsoyuznaya St, Moscow 117997, Russia

[2] Lomonosov Moscow State Univ, Fac Phys, GSP-2, Moscow 119991, Russia

[3] UiT Arctic Univ Norway, Postboks 6050 Langnes, N-9037 Tromso, Norway

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2017年 / 113卷

基金：

俄罗斯科学基金会;

关键词：

Asymptotics; Integrability; Caustics; Shock waves;

D O I：

10.1016/j.geomphys.2016.06.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we study the initial boundary value problem for two-phase heat and mass transport in porous media described by the Buckley Leverett-model. We outline a method to construct asymptotic solutions of the initial boundary problem and show how to overcome singularities in solutions and shock waves. (C) 2016 Published by Elsevier B.V.

引用

页码：2 / 9

页数：8

共 13 条

[1] A MULTIPHASE APPROACH TO THE MODELING OF POROUS-MEDIA CONTAMINATION BY ORGANIC-COMPOUNDS .1. EQUATION DEVELOPMENT [J].