Combining finite element and finite volume methods for efficient multiphase flow simulations in highly heterogeneous and structurally complex geologic media

Journal article (2004)

Authors

S. Geiger ETH Zürich
S. Roberts Australian National University
S. Matthai Imperial College London
C. Zoppou ACTEW Corporation Limited
A. Burri ETH Zürich
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Heterogeneity Multiphase flow Porous media Fractures Finite elements Finite volumes Total variation diminishing
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Published Date

2004-11

Language

English

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Abstract

The permeability of the Earth's crust commonly varies over many orders of magnitude. Flow velocity can range over several orders of magnitude in structures of interest that vary in scale from centimeters to kilometers. To accurately and efficiently model multiphase flow in geologic media, we introduce a fully conservative node-centered finite volume method coupled with a Galerkin finite element method on an unstructured triangular grid with a complementary finite volume subgrid. The effectiveness of this approach is demonstrated by comparison with traditional solution methods and by multiphase flow simulations for heterogeneous permeability fields including complex geometries that produce transport parameters and lengths scales varying over four orders of magnitude.