Numerical simulation of two-phase fluid flow

We simulate two-phase fluid flow using a stress–strain relation based on Biot’s theory of poroelasticity for partial saturation combined with the mass conservation equations. To uncouple flow and elastic strain, we use a correction to the stiffness of the medium under conditions of uniaxial strain....

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Autores principales: Carcione, J. M., Picotti, S., Santos, Juan Enrique, Qadrouh, A., Almalki, H. S.
Formato: Articulo
Lenguaje:Inglés
Publicado: 2014
Materias:
Ciencias Astronómicas
Diffusion
Fourier method
Pressure
Richards equation
Saturation
Two-phase flow
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/85033
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-85033
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Astronómicas
Diffusion
Fourier method
Pressure
Richards equation
Saturation
Two-phase flow
spellingShingle Ciencias Astronómicas
Diffusion
Fourier method
Pressure
Richards equation
Saturation
Two-phase flow
Carcione, J. M.
Picotti, S.
Santos, Juan Enrique
Qadrouh, A.
Almalki, H. S.
Numerical simulation of two-phase fluid flow
topic_facet Ciencias Astronómicas
Diffusion
Fourier method
Pressure
Richards equation
Saturation
Two-phase flow
description We simulate two-phase fluid flow using a stress–strain relation based on Biot’s theory of poroelasticity for partial saturation combined with the mass conservation equations. To uncouple flow and elastic strain, we use a correction to the stiffness of the medium under conditions of uniaxial strain. The pressure and saturation differential equations are then solved with an explicit time stepping scheme and the Fourier pseudospectral method to compute the spatial derivatives. We assume an initial pressure state and at each time step compute the wetting- and non wetting-fluid pressures at a given saturation. Then, we solve Richards’s equation for the non wetting-fluid saturation and proceed to the next time step with the updated saturations values. The pressure and saturation equations are first solved separately and the results compared to known analytical solutions showing the accuracy of the algorithm. Then, the coupled system is solved. In all the cases, the non-wetting fluid is injected at a given point in space as a boundary condition and capillarity effects are taken into account. The examples consider oil injection in a water-saturated porous medium.
format Articulo
Articulo
author Carcione, J. M.
Picotti, S.
Santos, Juan Enrique
Qadrouh, A.
Almalki, H. S.
author_facet Carcione, J. M.
Picotti, S.
Santos, Juan Enrique
Qadrouh, A.
Almalki, H. S.
author_sort Carcione, J. M.
title Numerical simulation of two-phase fluid flow
title_short Numerical simulation of two-phase fluid flow
title_full Numerical simulation of two-phase fluid flow
title_fullStr Numerical simulation of two-phase fluid flow
title_full_unstemmed Numerical simulation of two-phase fluid flow
title_sort numerical simulation of two-phase fluid flow
publishDate 2014
url http://sedici.unlp.edu.ar/handle/10915/85033
work_keys_str_mv AT carcionejm numericalsimulationoftwophasefluidflow
AT picottis numericalsimulationoftwophasefluidflow
AT santosjuanenrique numericalsimulationoftwophasefluidflow
AT qadrouha numericalsimulationoftwophasefluidflow
AT almalkihs numericalsimulationoftwophasefluidflow
bdutipo_str Repositorios
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