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
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
收藏
页码:2 / 9
页数:8
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