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Asymptotic Analysis - Volume 135, issue 3-4

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Price: EUR 420.00
ISSN 0921-7134 (P)
ISSN 1875-8576 (E)

Impact Factor 2024: 1.1

The journal Asymptotic Analysis fulfills a twofold function. It aims at publishing original mathematical results in the asymptotic theory of problems affected by the presence of small or large parameters on the one hand, and at giving specific indications of their possible applications to different fields of natural sciences on the other hand. 

Asymptotic Analysis thus provides mathematicians with a concentrated source of newly acquired information which they may need in the analysis of asymptotic problems.

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Some remarks on simplified double porosity model of immiscible incompressible two-phase flow

Authors: Jurak, M. | Pankratov, L. | Vrbaški, A.

Article Type: Research Article

Abstract: The paper is devoted to the derivation, by linearization, of simplified homogenized models of an immiscible incompressible two-phase flow in double porosity media in the case of thin fissures. In a simplified double porosity model derived previously by the authors the matrix-fracture source term is approximated by a convolution type source term. This approach enables to exclude the cell problem, in form of the imbibition equation, from the global double porosity model. In this paper we propose a new linear version of the imbibition equation which leads to a new simplified double porosity model. We also present numerical simulations which … Show more

Keywords: Double porosity media, two-phase flow, matrix-fracture exchange term, finite volume method

DOI: 10.3233/ASY-231866

Citation: Asymptotic Analysis, vol. 135, no. 3-4, pp. 581-594, 2023

Price: EUR 27.50
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