A Multiscale Method for Modeling Transport in Porous Media on Unstructured Corner-Point Grids

Multiscale solution methods are currently under active investigation for the simulation of subsurface flow in heterogeneous formations. These procedures capture the effects of fine-scale permeability variations through the calculation of specialized coarse-scale basis functions. Most of the multisca...

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Main Authors: Jørg E. Aarnes, Yalchin Efendiev
Format: Article
Language:English
Published: SAGE Publishing 2008-06-01
Series:Journal of Algorithms & Computational Technology
Online Access:https://doi.org/10.1260/174830108784646616
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author Jørg E. Aarnes
Yalchin Efendiev
author_facet Jørg E. Aarnes
Yalchin Efendiev
author_sort Jørg E. Aarnes
collection DOAJ
description Multiscale solution methods are currently under active investigation for the simulation of subsurface flow in heterogeneous formations. These procedures capture the effects of fine-scale permeability variations through the calculation of specialized coarse-scale basis functions. Most of the multiscale techniques presented to date address subgrid capturing in pressure solution (elliptic/parabolic equations). In this paper we propose a multiscale method for solving transport equations on a coarse grid. In this method the global flow is computed on a coarse grid scale, but information from a fine scale velocity field is used to improve accuracy. The method is applied to incompressible and immiscible two-phase flow on a synthetic geological model with corner-point grid geometry. Although corner-point grids are given on a logically Cartesian format, the resulting grids are unstructured in physical space. The numerical results demonstrate that the multiscale method gives nearly the same flow characteristics as simulations where the transport equation is solved on the scale of an underlying fine grid.
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spelling doaj.art-50d1e05ee8a043ba96268d6f750c05552022-12-21T18:23:19ZengSAGE PublishingJournal of Algorithms & Computational Technology1748-30181748-30262008-06-01210.1260/174830108784646616A Multiscale Method for Modeling Transport in Porous Media on Unstructured Corner-Point GridsJørg E. Aarnes0Yalchin Efendiev1 SINTEF, N-0314 Oslo, Norway Texas A&M University, College Station Tx 77843Multiscale solution methods are currently under active investigation for the simulation of subsurface flow in heterogeneous formations. These procedures capture the effects of fine-scale permeability variations through the calculation of specialized coarse-scale basis functions. Most of the multiscale techniques presented to date address subgrid capturing in pressure solution (elliptic/parabolic equations). In this paper we propose a multiscale method for solving transport equations on a coarse grid. In this method the global flow is computed on a coarse grid scale, but information from a fine scale velocity field is used to improve accuracy. The method is applied to incompressible and immiscible two-phase flow on a synthetic geological model with corner-point grid geometry. Although corner-point grids are given on a logically Cartesian format, the resulting grids are unstructured in physical space. The numerical results demonstrate that the multiscale method gives nearly the same flow characteristics as simulations where the transport equation is solved on the scale of an underlying fine grid.https://doi.org/10.1260/174830108784646616
spellingShingle Jørg E. Aarnes
Yalchin Efendiev
A Multiscale Method for Modeling Transport in Porous Media on Unstructured Corner-Point Grids
Journal of Algorithms & Computational Technology
title A Multiscale Method for Modeling Transport in Porous Media on Unstructured Corner-Point Grids
title_full A Multiscale Method for Modeling Transport in Porous Media on Unstructured Corner-Point Grids
title_fullStr A Multiscale Method for Modeling Transport in Porous Media on Unstructured Corner-Point Grids
title_full_unstemmed A Multiscale Method for Modeling Transport in Porous Media on Unstructured Corner-Point Grids
title_short A Multiscale Method for Modeling Transport in Porous Media on Unstructured Corner-Point Grids
title_sort multiscale method for modeling transport in porous media on unstructured corner point grids
url https://doi.org/10.1260/174830108784646616
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