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Thermophysics and Aeromechanics

2009 year, number 1

Numerical solution of a stationary nonisothermal two-phase filtration problem by the steadying method

O.B. Bocharov1, I.G. Telegin2
1 Institute for Water and Environmental Problems SB RAS, Novosibirsk, Russia
2 Scientific, Research, and Design Institute "KogalymNIPINeft", Tyumen, Russia, igtelegin@yandex.ru
Keywords: nonstatioanry nonisothermal filtration, stationary solutions, asymptotic behavior of solutions, nonisothermal filtration
Pages: 61-67

Abstract

The structure of solutions of a stationary nonisothermal problem of the two-phase filtration of immiscible fluids is studied numerically. The character of the convergence of nonstationary solutions to stationary ones is investigated. It is shown that at different parameter values the solution may have an interval, where s(x) ≡ 0 or s(x) ≡ 1. The temperature effect on the structure of the solutions of the equation for water saturation is investigated.