THE INITIAL-STAGE IN THE EVOLUTION OF DISPLACEMENT FRONTS IN THE NONLINEAR FILTRATION PROBLEM

Authors
VAKULENKO SA MOLOTKOV IA
Citation
Sa. Vakulenko et Ia. Molotkov, THE INITIAL-STAGE IN THE EVOLUTION OF DISPLACEMENT FRONTS IN THE NONLINEAR FILTRATION PROBLEM, Journal of applied mathematics and mechanics, 61(1), 1997, pp. 103-109
Citations number
10
Categorie Soggetti
Mathematics,Mathematics,Mechanics
Journal title
Journal of applied mathematics and mechanics → ACNP
ISSN journal
00218928
Volume
61
Issue
1
Year of publication
1997
Pages
103 - 109
Database
ISI
SICI code
0021-8928(1997)61:1<103:TIITEO>2.0.ZU;2-R
Abstract
A non-linear filtration model is considered. The initial stage in the evolution of the displacement front is studied and the initial conditi ons are found under which the front maintains a stable form for a long time. Concentration and pressure profiles in a direction normal to th e front are obtained. It is found that the concentration varies compar atively rapidly here while the pressure varies extremely slowly. (C) 1 997 Elsevier Science Ltd. All rights reserved.