Geodesic
On a numerical algorithm for solving the Bakley--Leverett equations
Sibirskij žurnal industrialʹnoj matematiki, Tome 16 (2013) no. 3, pp. 106-115

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We describe a numerical algorithm for solving the problem of the two-phase filtration of an incompressible fluid in the absence of capillary forces (the Buckley–Leverett model). The usage of the conventional computational scheme for multiple injection wells leads to the “nongluing” of the flows of the displacing phase. We propose a way to remove this defect.
Keywords: two-phase fluid, well, difference scheme.
Mots-clés : filtration 
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     author = {Yu. M. Laevskii and S. A. Litvinenko},
     title = {On a numerical algorithm for solving the {Bakley--Leverett} equations},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
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     publisher = {mathdoc},
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     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2013_16_3_a8/}
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Yu. M. Laevskii; S. A. Litvinenko. On a numerical algorithm for solving the Bakley--Leverett equations. Sibirskij žurnal industrialʹnoj matematiki, Tome 16 (2013) no. 3, pp. 106-115. http://geodesic.mathdoc.fr/item/SJIM_2013_16_3_a8/