Discretization schemes for the two simplified global double porosity models of immiscible incompressible two-phase flow

We present the discretization schemes for the two simplified homogenized models of immiscible incompressible two-phase flow in double porosity media with thin fractures. The two models were derived previously by the authors by different linearizations of the nonlinear local problem called the imbibi...

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Bibliographic Details
Published in:Journal of physics. Conference series 2024-02, Vol.2701 (1), p.12077
Main Authors: Jurak, M, Pankratov, L, Vrbaški, A
Format: Article
Language:English
Subjects:
Discretization
Fluid flow
Fractures
Incompressible flow
Miscibility
Porosity
Two phase flow
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Summary:We present the discretization schemes for the two simplified homogenized models of immiscible incompressible two-phase flow in double porosity media with thin fractures. The two models were derived previously by the authors by different linearizations of the nonlinear local problem called the imbibition equation which appears in the homogenized model after passage to the limit as ε → 0. The models are fully homogenized with the matrix-fracture source terms expressed as a convolution.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/2701/1/012077