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Record 30 of 4927
Towards a Modern Theory of Multiphase Filtration Flow
Author and Affiliation:
Buyevich, Yu A.(National Academy of Sciences - National Research Council, Moffett Field, CA United States)
Webbon, Bruce W. [Technical Monitor]
Abstract: An alternative theoretical model of joint filtration flow of immiscible incompressible fluids is presented. The model takes into account relaxation processes due to the interchange of the fluids between pores of difference sizes which is driven by capillary forces. The fluids occupy connected regions in a four-dimensional space formed by three coordinates and the pore length scale. When the fluid exchange between pores of given sizes is effected by way of successive flow through pores of all the intermediate sizes, the pressure within each region is governed by a hyperbolic equation, the role of time being played by the pore linear scale. Pressure jumps across hypersurfaces separating the regions equal corresponding values of the capillary pressure. A supplementary condition at any such hypersurface requires the speed of its displacement in the four-dimensional space to coincide with the normal velocity components of both the adjoining fluids. As a result, a principally new statement of multiphase filtration flow problems is gained with allowance for capillary relaxation in the porous space.
Publication Date: Jan 01, 1994
Document ID:
20020014841
(Acquired Feb 01, 2002)
Subject Category: FLUID MECHANICS AND THERMODYNAMICS
Document Type: Preprint
Contract/Grant/Task Num: RTOP 199-61-62
Financial Sponsor: NASA Ames Research Center; Moffett Field, CA United States
Organization Source: NASA Ames Research Center; Moffett Field, CA United States
Description: 1p; In English
Distribution Limits: Unclassified; Publicly available; Unlimited
Rights: No Copyright
NASA Terms: FILTRATION; INCOMPRESSIBLE FLUIDS; MATHEMATICAL MODELS; POROSITY; MOLECULAR RELAXATION; HYPERBOLIC DIFFERENTIAL EQUATIONS; MULTIPHASE FLOW
Availability Source: Other Sources
Availability Notes: Abstract Only
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