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A Cell-Centred CVD-MPFA Finite Volume Method for Two-Phase Fluid Flow Problems with Capillary Heterogeneity and Discontinuity

Raheel Ahmed, Yawei Xie, Michael G. Edwards

Transport in Porous Media

Swansea University Author: Michael G. Edwards

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DOI (Published version): 10.1007/s11242-018-1179-y

Abstract

A novel finite-volume method is presented for porous media flow simulation that is applicable to discontinuous capillary pressure fields. The method crucially retains the optimal single of freedom per control-volume being developed within the flux-continuous control-volume distributed multi-point fl...

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Published in: Transport in Porous Media
ISSN: 0169-3913 1573-1634
Published: 2018
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URI: https://cronfa.swan.ac.uk/Record/cronfa45370
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spelling 2022-11-15T16:26:20.7266145 v2 45370 2018-11-01 A Cell-Centred CVD-MPFA Finite Volume Method for Two-Phase Fluid Flow Problems with Capillary Heterogeneity and Discontinuity 8903caf3d43fca03602a72ed31d17c59 Michael G. Edwards Michael G. Edwards true false 2018-11-01 FGSEN A novel finite-volume method is presented for porous media flow simulation that is applicable to discontinuous capillary pressure fields. The method crucially retains the optimal single of freedom per control-volume being developed within the flux-continuous control-volume distributed multi-point flux approximation (CVD-MPFA) framework (Edwards and Rogers in Comput Geosci 02(04):259–290, 1998; Friis et al. in SIAM J Sci Comput 31(02):1192–1220, 2008) . The new methods enable critical subsurface flow processes involving oil and gas trapping to be correctly resolved on structured and unstructured grids. The results demonstrate the ability of the method to resolve flow with oil/gas trapping in the presence of a discontinuous capillary pressure field for diagonal and full-tensor permeability fields. In addition to an upwind approximation for the saturation equation flux, the importance of upwinding on capillary pressure flux via a novel hybrid formulation is demonstrated. Journal Article Transport in Porous Media 0169-3913 1573-1634 Finite volume, CVD-MPFA, Two-phase, Capillary pressure, Heterogeneity, Discontinuity, Threshold pressure 31 12 2018 2018-12-31 10.1007/s11242-018-1179-y COLLEGE NANME Science and Engineering - Faculty COLLEGE CODE FGSEN Swansea University 2022-11-15T16:26:20.7266145 2018-11-01T09:19:10.0922723 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised Raheel Ahmed 1 Yawei Xie 2 Michael G. Edwards 3 45370__11722__411af149b0ee4d62aa43ea380dde80b9.pdf ahmed2018.pdf 2018-11-01T09:20:44.1870000 Output 1623331 application/pdf Accepted Manuscript true 2019-11-12T00:00:00.0000000 true eng
title A Cell-Centred CVD-MPFA Finite Volume Method for Two-Phase Fluid Flow Problems with Capillary Heterogeneity and Discontinuity
spellingShingle A Cell-Centred CVD-MPFA Finite Volume Method for Two-Phase Fluid Flow Problems with Capillary Heterogeneity and Discontinuity
Michael G. Edwards
title_short A Cell-Centred CVD-MPFA Finite Volume Method for Two-Phase Fluid Flow Problems with Capillary Heterogeneity and Discontinuity
title_full A Cell-Centred CVD-MPFA Finite Volume Method for Two-Phase Fluid Flow Problems with Capillary Heterogeneity and Discontinuity
title_fullStr A Cell-Centred CVD-MPFA Finite Volume Method for Two-Phase Fluid Flow Problems with Capillary Heterogeneity and Discontinuity
title_full_unstemmed A Cell-Centred CVD-MPFA Finite Volume Method for Two-Phase Fluid Flow Problems with Capillary Heterogeneity and Discontinuity
title_sort A Cell-Centred CVD-MPFA Finite Volume Method for Two-Phase Fluid Flow Problems with Capillary Heterogeneity and Discontinuity
author_id_str_mv 8903caf3d43fca03602a72ed31d17c59
author_id_fullname_str_mv 8903caf3d43fca03602a72ed31d17c59_***_Michael G. Edwards
author Michael G. Edwards
author2 Raheel Ahmed
Yawei Xie
Michael G. Edwards
format Journal article
container_title Transport in Porous Media
publishDate 2018
institution Swansea University
issn 0169-3913
1573-1634
doi_str_mv 10.1007/s11242-018-1179-y
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Engineering and Applied Sciences - Uncategorised{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Engineering and Applied Sciences - Uncategorised
document_store_str 1
active_str 0
description A novel finite-volume method is presented for porous media flow simulation that is applicable to discontinuous capillary pressure fields. The method crucially retains the optimal single of freedom per control-volume being developed within the flux-continuous control-volume distributed multi-point flux approximation (CVD-MPFA) framework (Edwards and Rogers in Comput Geosci 02(04):259–290, 1998; Friis et al. in SIAM J Sci Comput 31(02):1192–1220, 2008) . The new methods enable critical subsurface flow processes involving oil and gas trapping to be correctly resolved on structured and unstructured grids. The results demonstrate the ability of the method to resolve flow with oil/gas trapping in the presence of a discontinuous capillary pressure field for diagonal and full-tensor permeability fields. In addition to an upwind approximation for the saturation equation flux, the importance of upwinding on capillary pressure flux via a novel hybrid formulation is demonstrated.
published_date 2018-12-31T03:57:09Z
_version_ 1763752887304847360
score 11.037056

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