UNIQUENESS OF THE RIEMANN SOLUTION FOR THREE-PHASE FLOW IN A POROUS MEDIUM

被引：12
|
作者：
Azevedo, A. V. [1 ]
de Souza, A. J. [2 ]
Furtado, F. [3 ]
Marchesin, D. [4 ]
机构：
[1] Univ Brasilia, Dept Matemat, BR-70910900 Brasilia, DF, Brazil
[2] Univ Fed Campina Grande, Dept Matemat, BR-58429970 Campina Grande, PB, Brazil
[3] Univ Wyoming, Dept Math, Laramie, WY 82071 USA
[4] Inst Matematica Pura & Aplicada, BR-11022460 Rio De Janeiro, RJ, Brazil
来源：
SIAM JOURNAL ON APPLIED MATHEMATICS | 2014年 / 74卷 / 06期
关键词：
method of characteristics; wave curve method; Buckley-Leverett solution; immiscible three-phase flow; three-phase permeabilities; HYPERBOLIC CONSERVATION-LAWS; NONCONVEX EQUATIONS; SYSTEMS; MODELS; RECOVERY; WAVES; STATE;
D O I：
10.1137/140954623
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We solve injection problems for immiscible three-phase flow described by a system of two conservation laws with fluxes originating from Corey's model with quadratic permeabilities. A mixture of water, gas, and oil is injected into a porous medium containing oil, which is partially displaced. We prove that the resulting Riemann problems have solutions, which are unique under technical hypotheses that can be verified numerically. The wave curve method constructs the solutions straightforwardly, despite loss of strict hyperbolicity at an isolated point in state space. This umbilic point induces the separation of the solutions into two types, according to the water/gas proportion in the injection mixture.
引用
收藏
页码：1967 / 1997
页数：31
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