Simulation of two-phase flow in porous rocks on a laboratory scale: Diffusion operator splitting and consistency (Q1095000)

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scientific article; zbMATH DE number 4027104
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Simulation of two-phase flow in porous rocks on a laboratory scale: Diffusion operator splitting and consistency
scientific article; zbMATH DE number 4027104

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    Simulation of two-phase flow in porous rocks on a laboratory scale: Diffusion operator splitting and consistency (English)
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    1987
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    The one-dimensional nonlinear saturation convection-diffusion equation in reservoir dynamics is solved numerically by an operator-splitting technique. This splitting, the implicit boundary conditions, and a saturation constraint give rise to an ill-conditioned system of nonlinear discretized equations allowing for multiple solutions which is analyzed. The consistency of the problem regarding grid spacing versus diffusion is discussed, and a simple criterion is given for when diffusion should be omitted in the numerical model
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    SOFTICE
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    simulation by one-dimensional front tracking with inhomogeneities and capillary effects
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    one-dimensional nonlinear saturation convection-diffusion equation
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    reservoir dynamics
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    operator- splitting technique
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    implicit boundary conditions
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    saturation constraint
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    ill-conditioned system of nonlinear discretized equations
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