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JOURNALS // Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki // Archive

Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 2005 Volume 147, Book 3, Pages 90–111 (Mi uzku510)

Upscaling of density-driven flow and transport processes. 1. Porescale

D. E. Demidova, A. G. Egorovb

a N. G. Chebotarev Research Institute of Mathematics and Mechanics, Kazan State University
b Kazan State University

Abstract: The macroscale equations describing coupled processes of density-driven flow and transport are thoroughly derived for the stable case (fresh water is above dense brine). Governing equations are Stokes equations and convection-diffusion mass transport equation, written at porescale. The main results are macroscale dependencies of dispersion and filtration coefficients on density gradient and filtration velocity.

UDC: 532.546

Received: 03.10.2005



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