Fractional flow formulation for three-phase non-isothermal flow in porous media

• Autorzy: Wójcik W. , Temirbekov N. , Baigereyev D.

Identyfikatory

DOI

10.15199/48.2016.07.04

Warianty tytułu

PL

Sformułowanie przepływów wielofazowych na przykładzie trójfazowych przepływów nieizotermicznych w porowatych mediach)

• Języki publikacji: EN

Abstrakty

EN

The present paper focuses on the simulation of three-phase non-isothermal compressible flow in porous media taking into account capillary effects. We propose a new formulation of the considered non-isothermal problem in which the gradients of capillary pressure functions are eliminated from the pressure and temperature equations by the introduction of a change of variables for the pressure. The mentioned change of variables is referred to as the global pressure. A computational algorithm for the numerical implementation of the problem using the finite difference method is proposed. A priori estimate for the solution of the difference problem is obtained. The results of numerical experiments on the example of a one-dimensional problem are presented.

PL

W pracy autorzy koncentrują się na symulacji trójfazowego nie izotermicznego ściśliwego przepływu w środowiskach porowatych przy uwzględnieniu efektów kapilarnych. Zaproponowano nowe sformułowanie zagadnienia w którym gradienty funkcji ciśnienia kapilarnego są wyeliminowane z równań ciśnienia i temperatury poprzez zamiane zmiennych dla ciśnienia globalnego. Zaproponowano implementację algorytmu wykorzystując schemat różnicowy. Wyniki obliczeń dla jednowymiarowego zagadnienia przedstawiono w zakończeniu pracy.

Słowa kluczowe

EN

three phase non-isothermal flow; fractional flow; capillary pressure; finite difference method; a priori estimates

PL

trójfazowy przepływ nieizotermiczny; przepływ wielofazowy; ciśnienie kapilarne; metoda różnic skończonych; estymacja a priori

• Wydawca: Wydawnictwo SIGMA-NOT
• Czasopismo: Przegląd Elektrotechniczny
• Rocznik: 2016
• Tom: R. 92, nr 7
• Strony: 24--31
• Opis fizyczny: Bibliogr. 27 poz., wykr.

Twórcy

autor

Wójcik W.

• Institute of Electronics and Information Technology, Electrical Engineering and Computer Science Faculty, Lublin University of Technology, ul. Nadbystrzycka 38A, 20- 618 Lublin, Poland

autor

Temirbekov N.

• D.Serikbayev East Kazakhstan State Technical University, Ust-Kamenogorsk, Kazakhstan

autor

Baigereyev D.

• D.Serikbayev East Kazakhstan State Technical University, Ust-Kamenogorsk, Kazakhstan

Bibliografia

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Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.