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Characterizing non-fickian transport in fractured rock masses using fractional derivative-based mathematical model

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dc.contributor.author Suzuki A.
dc.contributor.author Chiba R.
dc.contributor.author Okaze T.
dc.contributor.author Niibori Y.
dc.contributor.author Fomin S.
dc.contributor.author Chugnov V.
dc.contributor.author Hashida T.
dc.date.accessioned 2018-09-18T20:07:02Z
dc.date.available 2018-09-18T20:07:02Z
dc.date.issued 2010
dc.identifier.issn 0193-5933
dc.identifier.uri https://dspace.kpfu.ru/xmlui/handle/net/136657
dc.description.abstract A fractional advection-dispersion equation (fADE) was employed to describe non-Fickian mass transport in fractured rock masses. A fracture network model based on fractal geometry was utilized to analyze numerical tracer responses in inhomogeneous rock masses composed of a number of natural fractures. The density of the natural fractures was varied in the numerical analyses. It was shown that non-Fickian transport (anomalous dispersion with heavy tails) was observed for lower natural fracture densities and the tracer response could be described by the fADE. It was suggested that the term of fractional time derivative in the fADE was responsible for the variance of travel time in the tracer responses, resulting in the non-Fickian transport. The results obtained in this study may support the use of the fADE for characterizing complex fluid flow in geothermal reservoirs.
dc.relation.ispartofseries Transactions - Geothermal Resources Council
dc.subject Fractal geometry
dc.subject Fractional derivative
dc.subject Fracture network
dc.subject Mass transport
dc.subject Non-fickian diffusion
dc.subject Tracer test
dc.title Characterizing non-fickian transport in fractured rock masses using fractional derivative-based mathematical model
dc.type Conference Paper
dc.relation.ispartofseries-volume 34 2
dc.collection Публикации сотрудников КФУ
dc.relation.startpage 1075
dc.source.id SCOPUS01935933-2010-342-SID79955423311


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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.

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