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On diffusion in fractal porous media
Author(s) -
Cushman John H.
Publication year - 1991
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/91wr00162
Subject(s) - porous medium , fractal , diffusion , statistical physics , porosity , fractal dimension , tensor (intrinsic definition) , spectral density , physics , anomalous diffusion , mechanics , geology , mathematical analysis , classical mechanics , mathematics , thermodynamics , geometry , geotechnical engineering , computer science , innovation diffusion , knowledge management , statistics
Generalized hydrodynamics and irreversible thermodynamics are used to derive the relation between a general wave vector and frequency dependent diffusion tensor, and the power spectral density. The results are valid for porous media with evolving heterogeneities. An integrodifferential transport equation, valid in porous media with evolving heterogeneities, is presented.