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Statements

Subject Item
n2:RIV%2F68407700%3A21340%2F13%3A00211573%21RIV14-MSM-21340___
rdf:type
skos:Concept n7:Vysledek
dcterms:description
The paper deals with the numerical solution of a compositional model describing compressible two-phase flow of a mixture composed of several components in porous media with species transfer between the phases. The mathematical model is formulated by means of the extended Darcy's laws for all phases, components continuity equations, constitutive relations, and appropriate initial and boundary conditions. The splitting of components among the phases is described using a new formulation of the local thermodynamic equilibrium which uses volume, temperature, and moles as specification variables. The problem is solved numerically using a combination of the mixed-hybrid finite element method for the total flux discretization and the finite volume method for the discretization of transport equations. A new approach to numerical flux approximation is proposed, which does not require phase identification and determination of correspondence between the phases on adjacent elements. The time discretization is carried out by the backward Euler method. The resulting large system of nonlinear algebraic equations is solved by the Newton-Raphson iterative method. We provide seven examples of different complexity to show reliability and robustness of our approach. The paper deals with the numerical solution of a compositional model describing compressible two-phase flow of a mixture composed of several components in porous media with species transfer between the phases. The mathematical model is formulated by means of the extended Darcy's laws for all phases, components continuity equations, constitutive relations, and appropriate initial and boundary conditions. The splitting of components among the phases is described using a new formulation of the local thermodynamic equilibrium which uses volume, temperature, and moles as specification variables. The problem is solved numerically using a combination of the mixed-hybrid finite element method for the total flux discretization and the finite volume method for the discretization of transport equations. A new approach to numerical flux approximation is proposed, which does not require phase identification and determination of correspondence between the phases on adjacent elements. The time discretization is carried out by the backward Euler method. The resulting large system of nonlinear algebraic equations is solved by the Newton-Raphson iterative method. We provide seven examples of different complexity to show reliability and robustness of our approach.
dcterms:title
Compositional Modeling in Porous Media Using Constant Volume Flash and Flux Computation without the Need for Phase Identification Compositional Modeling in Porous Media Using Constant Volume Flash and Flux Computation without the Need for Phase Identification
skos:prefLabel
Compositional Modeling in Porous Media Using Constant Volume Flash and Flux Computation without the Need for Phase Identification Compositional Modeling in Porous Media Using Constant Volume Flash and Flux Computation without the Need for Phase Identification
skos:notation
RIV/68407700:21340/13:00211573!RIV14-MSM-21340___
n7:predkladatel
n8:orjk%3A21340
n3:aktivita
n16:S n16:P
n3:aktivity
P(GAP105/11/1507), P(LH12064), S
n3:dodaniDat
n6:2014
n3:domaciTvurceVysledku
n4:4856201 n4:4817400
n3:druhVysledku
n18:O
n3:duvernostUdaju
n14:S
n3:entitaPredkladatele
n15:predkladatel
n3:idSjednocenehoVysledku
66526
n3:idVysledku
RIV/68407700:21340/13:00211573
n3:jazykVysledku
n17:eng
n3:klicovaSlova
compositional simulation without phase identification; mixed-hybrid finite element method; finite volume method; phase-by-phase upwinding; constant-volume phase splitting; pressure computation
n3:klicoveSlovo
n11:mixed-hybrid%20finite%20element%20method n11:constant-volume%20phase%20splitting n11:pressure%20computation n11:compositional%20simulation%20without%20phase%20identification n11:finite%20volume%20method n11:phase-by-phase%20upwinding
n3:kontrolniKodProRIV
[C57B2A73C986]
n3:obor
n10:BA
n3:pocetDomacichTvurcuVysledku
2
n3:pocetTvurcuVysledku
2
n3:projekt
n5:LH12064 n5:GAP105%2F11%2F1507
n3:rokUplatneniVysledku
n6:2013
n3:tvurceVysledku
Mikyška, Jiří Polívka, Ondřej
n12:organizacniJednotka
21340