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Conservation laws f...
Conservation laws for two-phase filtration models
- Article/chapterEnglish2014
Publisher, publication year, extent ...
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Elsevier,2014
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printrdacarrier
Numbers
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LIBRIS-ID:oai:DiVA.org:bth-6711
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https://urn.kb.se/resolve?urn=urn:nbn:se:bth-6711URI
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https://doi.org/10.1016/j.cnsns.2013.06.015DOI
Supplementary language notes
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Language:English
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Summary in:English
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Subject category:ref swepub-contenttype
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Subject category:art swepub-publicationtype
Notes
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The paper is devoted to investigation of group properties of a one-dimensional model of two-phase filtration in porous medium. Along with the general model, some of its particular cases widely used in oil-field development are discussed. The Buckley-Leverett model is considered in detail as a particular case of the one-dimensional filtration model. This model is constructed under the assumption that filtration is one-dimensional and horizontally directed, the porous medium is homogeneous and incompressible, the filtering fluids are also incompressible. The model of "chromatic fluid" filtration is also investigated. New conservation laws and particular solutions are constructed using symmetries and nonlinear self-adjointness of the system of equations.
Subject headings and genre
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Ibragimov, NailBlekinge Tekniska Högskola,Avdelningen för matematik och naturvetenskap(Swepub:bth)nib
(author)
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Zheltova, I. S.
(author)
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Yakovlev, A. A.
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Blekinge Tekniska HögskolaAvdelningen för matematik och naturvetenskap
(creator_code:org_t)
Related titles
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In:Communications in nonlinear science & numerical simulation: Elsevier19:2, s. 383-3891007-57041878-7274
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