Multiscale elliptic-parabolic systems for flow and transport

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dc.contributor.authorPeszynska, Malgorzata
dc.contributor.authorShowalter, Ralph
dc.date.accessioned2021-08-18T14:48:05Z
dc.date.available2021-08-18T14:48:05Z
dc.date.issued2007-11-05
dc.description.abstractAn upscaled elliptic-parabolic system of partial differential equations describing the multiscale flow of a single-phase incompressible fluid and transport of a dissolved chemical by advection and diffusion through a heterogeneous porous medium is developed without the usual assumptions of scale separation. After a review of homogenization results for the traditional low contrast and the ɛ2-scaled high contrast cases, the new discrete upscaled model based on local affine approximations is constructed. The resulting model is mass conserving and contains the effects of local advective transport as well as diffusion, it includes non-Fickian models of dispersion and works over a broad range of contrast cases.
dc.description.departmentMathematics
dc.formatText
dc.format.extent30 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationPeszynska, M., & Showalter, R. E. (2007). Multiscale elliptic-parabolic systems for flow and transport. <i>Electronic Journal of Differential Equations, 2007</i>(147), pp. 1-30.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14361
dc.language.isoen
dc.publisherTexas State University-San Marcos, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.holderThis work is licensed under a Creative Commons Attribution 4.0 International License.
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2007, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectUpscaled porous media
dc.subjectDouble porosity models
dc.subjectMultiscale flow and transport
dc.subjectNonlocal dispersion
dc.titleMultiscale elliptic-parabolic systems for flow and transport
dc.typeArticle

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