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Numerical simulation of two-phase immiscible incompressible flows in heterogeneous porous media with capillary barriers

Abstract : We present a new version of the sequential discontinuous Galerkin method for two-phase immiscible incompressible flows in heterogeneous porous media with a discontinuous capillary field. Here, a new implementation of the extended interface condition, that not uses the threshold saturation value at the interface and permits treatment of different residual saturations in different rocks, is considered. Another novel ingredient is the implicit treatment of the diffusion term and the non-linear interface conditions in the saturation equation. The proposed method is validated in two-dimensional test cases and confirms theoretically known optimal orders of convergence. The numerical experiments demonstrate that for two-dimensional interface problems the method exhibits better performance on moderately refined meshes, which is particularly important for multidimensional heterogeneous problems related to realistic field studies. We consider also two heterogeneous five-spot benchmark problems to assess the potential of the proposed method in simulations of reservoirs with discontinuous permeability and capillary pressure fields in different types of rock.
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https://hal.archives-ouvertes.fr/hal-00691312
Contributor : Mozolevski Igor <>
Submitted on : Friday, September 28, 2012 - 5:08:39 PM
Last modification on : Wednesday, May 6, 2020 - 6:22:02 PM
Long-term archiving on: : Saturday, December 29, 2012 - 7:45:08 AM

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  • HAL Id : hal-00691312, version 2

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Igor Mozolevski, Luciane Schuh. Numerical simulation of two-phase immiscible incompressible flows in heterogeneous porous media with capillary barriers. 2012. ⟨hal-00691312v2⟩

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