Streamline computations for porous media flow including gravity |
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Authors: | F Bratvedt T Gimse C Tegnander |
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Institution: | (1) Technical Software Consultants AS, Oslo, Norway;(2) Technical Software Consultants AS, and SINTEF, Oslo, Norway;(3) Department of Mathematics, University of Oslo, Oslo, Norway |
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Abstract: | In this paper we consider porous media flow without capillary effects. We present a streamline method which includes gravity
effects by operator splitting. The flow equations are treated by an IMPES method, where the pressure equation is solved by
a (standard) finite element method. The saturation equation is solved by utilizing a front tracking method along streamlines
of the pressure field. The effects of gravity are accounted for in a separate correction step. This is the first time streamlines
are combined with gravity for three-dimensional (3D) simulations, and the method proves favourable compared to standard splitting
methods based on fractional steps. By our splitting we can take advantage of very accurate and efficient 1D methods. The ideas
have been implemented and tested in a full field simulator. In that context, both accuracy and CPU efficiency have tested
favourably. |
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Keywords: | porous media flow streamlines front tracking gravity |
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