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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2013, Volume 53, Number 6, Pages 1041–1048
DOI: https://doi.org/10.7868/S004446691306015X (Mi zvmmf9849) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Mathematical simulation of the evolution of a liquid-liquid interface in piecewise inhomogeneous layers of complex geological structure

D. N. Nikol'skii

Orel State University
Full-text PDF (412 kB) Citations (3)
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DOI: https://doi.org/10.7868/S004446691306015X
Abstract: A mathematical model describing two incompressible liquids displacing one another in piecewise inhomogeneous porous ground layers is constructed. The ground layers are assumed to contain impermeable and semipermeable inclusions and free-liquid cavities. The square root of the conductivity of a layer is modeled by a metaharmonic (harmonic) function of coordinates.
Key words: mathematical simulation of fluid dynamics problems, evolution of liquid-liquid interface, discrete singularity method.
Received: 08.11.2012
English version:
Computational Mathematics and Mathematical Physics, 2013, Volume 53, Issue 6, Pages 858–865
DOI: https://doi.org/10.1134/S0965542513060146
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: D. N. Nikol'skii, “Mathematical simulation of the evolution of a liquid-liquid interface in piecewise inhomogeneous layers of complex geological structure”, Zh. Vychisl. Mat. Mat. Fiz., 53:6 (2013), 1041–1048; Comput. Math. Math. Phys., 53:6 (2013), 858–865
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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