Nimerical model for computation of multicomponent flow in porous medium

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F11%3A00185712" target="_blank" >RIV/68407700:21340/11:00185712 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

čeština

Original language name

Numerický model pro výpočet proudění směsi v porézním prostředí

Original language 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 method. The dimensions of obtained system oflinear algebraic equations are significantly reduced independently of the number of mixture components. The convergence of the scheme is verified on a problem of methane injection into a homogeneous 2D reservoir filled with propane.

Czech name

Numerický model pro výpočet proudění směsi v porézním prostředí

Czech 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 method. The dimensions of obtained system oflinear algebraic equations are significantly reduced independently of the number of mixture components. The convergence of the scheme is verified on a problem of methane injection into a homogeneous 2D reservoir filled with propane.

Type

D - Article in proceedings

CEP classification

BK - Liquid mechanics

OECD FORD branch

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Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Publication year

2011

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection

Doktorandské dny 2011

ISBN

978-80-01-04907-5

ISSN

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e-ISSN

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Number of pages

10

Pages from-to

175-184

Publisher name

Česká technika - nakladatelství ČVUT

Place of publication

Praha

Event location

Praha

Event date

Nov 11, 2011

Type of event by nationality

CST - Celostátní akce

UT code for WoS article

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