Numerical modeling of two-phase hysteresis combined with an interface condition for heterogeneous porous media |
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| Authors: | Alexandros Papafotiou Hussam Sheta and Rainer Helmig |
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| Institution: | (1) Department of the Civil Engineering, National Chiao Tung University, Hsin Chu, Taiwan;(2) Department of the Civil Engineering, Min Hsin University Science Technology, Hsin Chu, Taiwan |
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| Abstract: | This paper presents a numerical implementation of two-phase capillary hysteresis and its combination with a capillary interface
condition for the treatment of heterogeneities. The hysteresis concepts chosen in this work are first implemented in a node-centered
FV discretization scheme and subsequently combined with the interface condition that predicts sharp saturation discontinuities
at material interfaces, based on a pressure equilibrium concept. This approach allows for the approximation of history-dependent,
and at the same time discontinuous, saturations at material interfaces. The resulting model provides a well-defined evolution
of the hysteretic capillary pressure–saturation relationships at material interfaces that is independent of the grid spacing.
As demonstrated with a simple 1-D example, this concept therefore offers the advantage that the solution of a two-phase flow
problem involving hysteresis does not relate to the grid resolution at the material interfaces. |
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