A force-balanced control volume finite element method for multi-phase porous media flow modelling

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Title: A force-balanced control volume finite element method for multi-phase porous media flow modelling
Authors: Gomes, JLMA
Pavlidis, D
Salinas, P
Xie, Z
Percival, JR
Melnikova, Y
Pain, CC
Jackson, MD
Item Type: Journal Article
Abstract: A novel method for simulating multi-phase flow in porous media is presented. The approach is based on a control volume finite element mixed formulation and new force-balanced finite element pairs. The novelty of the method lies in: (a) permitting both continuous and discontinuous description of pressure and saturation between elements; (b) the use of arbitrarily high-order polynomial representation for pressure and velocity and (c) the use of high-order flux-limited methods in space and to time avoid introducing non-physical oscillations while achieving high-order accuracy where and when possible. The model is initially validated for two-phase flow. Results are in good agreement with analytically obtained solutions and experimental results. The potential of this method is demonstrated by simulating flow in a realistic geometry composed of highly permeable meandering channels.
Issue Date: 4-Aug-2016
Date of Acceptance: 18-Jun-2016
URI: http://hdl.handle.net/10044/1/39806
DOI: https://dx.doi.org/10.1002/fld.4275
ISSN: 1097-0363
Publisher: Wiley
Start Page: 431
End Page: 445
Journal / Book Title: International Journal for Numerical Methods in Fluids
Volume: 83
Issue: 5
Copyright Statement: © 2016 The Authors International Journal for Numerical Methods in Fluids Published by John Wiley & Sons Ltd This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.
Sponsor/Funder: Total E&P UK Limited
Exxon Mobil Upstream Research Company
Engineering & Physical Science Research Council (EPSRC)
Funder's Grant Number: Contract Number: 4300002692
Keywords: Applied Mathematics
01 Mathematical Sciences
02 Physical Sciences
09 Engineering
Publication Status: Published
Appears in Collections:Faculty of Engineering
Earth Science and Engineering
Chemical Engineering

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