Application of fractional derivatives for simulating diffusion into porous matrix in mathematical modeling of the contaminant transport in a confined fractured porous aquifer

dc.contributor.author	Fomin S.
dc.contributor.author	Chugunov V.
dc.contributor.author	Hashida T.
dc.date.accessioned	2018-09-18T20:09:52Z
dc.date.available	2018-09-18T20:09:52Z
dc.date.issued	2006
dc.identifier.issn	0888-8116
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/137157
dc.description.abstract	Solute transport in the fractured porous confined aquifer is modeled by the advection-dispersion equation with fractional time derivative of order γ, which may vary from 0 to 1. Accounting for diffusion in the surrounding rock mass leads to the introduction of an additional fractional time derivative of order 1/2 in the equation for solute transport. The closed-form solutions for concentrations in the aquifer and surrounding rocks are obtained for the arbitrary time-dependent source of contamination located in the inlet of the aquifer. Based on these solutions, different regimes of contamination of the aquifers with different physical properties are modeled and analyzed. Copyright © 2006 by ASME.
dc.relation.ispartofseries	American Society of Mechanical Engineers, Fluids Engineering Division (Publication) FED
dc.title	Application of fractional derivatives for simulating diffusion into porous matrix in mathematical modeling of the contaminant transport in a confined fractured porous aquifer
dc.type	Conference Paper
dc.collection	Публикации сотрудников КФУ
dc.source.id	SCOPUS08888116-2006-SID84920632773

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Публикации сотрудников КФУ Scopus [24551]
Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.