Imperial College London
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DrPabloSalinas

Faculty of Engineering, Department of Earth Science & Engineering

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pablo.salinas

 
 
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Royal School of MinesSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@inproceedings{Al:2020:10.3997/2214-4609.202035153,
author = {Al, Kubaisy J and Osman, H and Salinas, P and Pain, C and Jackson, M},
doi = {10.3997/2214-4609.202035153},
title = {Discontinuous control volume finite element method for multiphase flow in porous media on challenging meshes},
url = {http://dx.doi.org/10.3997/2214-4609.202035153},
year = {2020}
}
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RIS format (EndNote, RefMan)

TY  - CPAPER
AB  - Control volume finite element methods (CVFEM) are gaining increasing popularity for modeling multi-phase flow in porous media due to their inherited geometric flexibility for modeling complex shapes. Nonetheless, classical CVFEM suffer from two key problems; first, mass conservation is enforced by the use of control volumes that span element boundaries. Consequently, when modeling flow in regions with discontinuous material properties, control volumes that span geologic domain boundaries result in non-physical leakage that degrades the numerical solution accuracy. Another challenge is to provide an accurate solution for distorted elements; elements with high aspect ratio that are part of the discretized heterogeneous domain. In fact, most numerical methods struggle to provide a converged pressure solution for high aspect ratio elements of the domain. Here, we introduce a numerical scheme that removes non-physical leakage across geologic domains and addresses the accuracy of classical control volume finite element method (CVFEM) in high aspect ratio elements. The scheme utilizes the frameworks of double-CVFEM (DCVFEM) where pressure is discretized CV-wise rather than element-wise. In addition, it introduces discontinuous control volumes by allowing pressure to be discontinuous between elements. The resultant finite element pair has an equal-order of velocity and pressure, with discontinuous linear elements for both the pressure and velocity fields P1DG-P1DG. This type of element pair is LBB unstable. The instability issue is circumvented by global enrichment of the finite element velocity interpolation space with an interior bubble function, given by the new element pair P1(BL)DG-P1DG. This element pair resolves both issues addressed earlier. We demonstrate that the developed numerical method is mass conservative, and it accurately preserves sharp saturation changes across different material properties or discontinuous permeability fields as well as improves converge
AU  - Al,Kubaisy J
AU  - Osman,H
AU  - Salinas,P
AU  - Pain,C
AU  - Jackson,M
DO  - 10.3997/2214-4609.202035153
PY  - 2020///
TI  - Discontinuous control volume finite element method for multiphase flow in porous media on challenging meshes
UR  - http://dx.doi.org/10.3997/2214-4609.202035153
ER  -
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