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Statements

Subject Item
n2:RIV%2F68407700%3A21340%2F11%3A00189341%21RIV12-MSM-21340___
rdf:type
skos:Concept n11:Vysledek
dcterms:description
The paper deals with the numerical modeling of compressible single-phase flow of a mixture composed of several components in a porous medium. The mathematical model is formulated by means of Darcy's law, components continuity equations, constitutive relations, and appropriate initial and boundary conditions. The problem is solved numerically using a combination of the mixed-hybrid finite element method for Darcy's law discretization and the finite volume method for the discretization of the transport equations. This approach provides exact local mass balance. The time discretization is carried out by the Euler method. The resulting large system of nonlinear algebraic equations is solved by the Newton-Raphson iterative method. The dimensions of obtained system of linear algebraic equations are significantly reduced so that they do not depend on the number of mixture components. The convergence of the numerical scheme is verified on two problems of methane injection into a homogeneous 2D reservoir filled with propane which is horizontally or vertically oriented. The paper deals with the numerical modeling of compressible single-phase flow of a mixture composed of several components in a porous medium. The mathematical model is formulated by means of Darcy's law, components continuity equations, constitutive relations, and appropriate initial and boundary conditions. The problem is solved numerically using a combination of the mixed-hybrid finite element method for Darcy's law discretization and the finite volume method for the discretization of the transport equations. This approach provides exact local mass balance. The time discretization is carried out by the Euler method. The resulting large system of nonlinear algebraic equations is solved by the Newton-Raphson iterative method. The dimensions of obtained system of linear algebraic equations are significantly reduced so that they do not depend on the number of mixture components. The convergence of the numerical scheme is verified on two problems of methane injection into a homogeneous 2D reservoir filled with propane which is horizontally or vertically oriented.
dcterms:title
Numerical simulation of multicomponent compressible flow in porous medium Numerical simulation of multicomponent compressible flow in porous medium
skos:prefLabel
Numerical simulation of multicomponent compressible flow in porous medium Numerical simulation of multicomponent compressible flow in porous medium
skos:notation
RIV/68407700:21340/11:00189341!RIV12-MSM-21340___
n11:predkladatel
n19:orjk%3A21340
n3:aktivita
n17:P
n3:aktivity
P(GAP105/11/1507), P(ME10009)
n3:cisloPeriodika
0
n3:dodaniDat
n4:2012
n3:domaciTvurceVysledku
n6:4856201 n6:4817400
n3:druhVysledku
n16:J
n3:duvernostUdaju
n15:S
n3:entitaPredkladatele
n14:predkladatel
n3:idSjednocenehoVysledku
216818
n3:idVysledku
RIV/68407700:21340/11:00189341
n3:jazykVysledku
n5:eng
n3:klicovaSlova
Mixed-hybrid finite element method; finite volume method; Newton-Raphson method; single-phase compressible multicomponent flow; miscible displacement
n3:klicoveSlovo
n9:Newton-Raphson%20method n9:miscible%20displacement n9:finite%20volume%20method n9:Mixed-hybrid%20finite%20element%20method n9:single-phase%20compressible%20multicomponent%20flow
n3:kodStatuVydavatele
JP - Japonsko
n3:kontrolniKodProRIV
[3DB5E5EF6B68]
n3:nazevZdroje
Journal of Math-for-Industry
n3:obor
n10:BK
n3:pocetDomacichTvurcuVysledku
2
n3:pocetTvurcuVysledku
2
n3:projekt
n12:GAP105%2F11%2F1507 n12:ME10009
n3:rokUplatneniVysledku
n4:2011
n3:svazekPeriodika
3
n3:tvurceVysledku
Polívka, Ondřej Mikyška, Jiří
s:issn
1884-4774
s:numberOfPages
8
n18:organizacniJednotka
21340