Authors: Schweizer, Ben
Title: Averaging of flows with capillary hysteresis in stochastic porous media
Language (ISO): en
Abstract: Fluids in unsaturated porous media are described by the relationship between pressure (p) and saturation (u). Darcy's law and conservation of mass provides an evolution equation for u, and the capillary pressure provides a relation between p and u of the form pxs2208 pc(u,∂t u). The multi-valued function pc leads to hysteresis effects. We construct weak and strong solutions to the hysteresis system and homogenize the system for oscillatory stochastic coefficients. The effective equations contain a new dependent variable that encodes the history of the wetting process and provide a better description of the physical system.
URI: http://hdl.handle.net/2003/25412
http://dx.doi.org/10.17877/DE290R-7736
Issue Date: 2007-05-29
Rights: Copyright © Cambridge University Press 2007
Publisher: Cambridge University Press
URL: http://dx.doi.org/10.1017/S0956792507007000
Citation: Schweizer, Ben: Averaging of flows with capillary hysteresis in stochastic porous media. In: European Journal of Applied Mathematics Nr. 3, Jg. 18 (2007), S. 389-415, doi:10.1017/S0956792507007000
Appears in Collections:Schweizer, Ben Prof. Dr.

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