By Yehuda Bachmat, Jacob Bear (auth.), Jacob Bear, M. Yavuz Corapcioglu (eds.)
This quantity comprises the lectures provided on the NATO complex examine INSTITUTE that came about at Newark, Delaware, U. S. A. , July 14-23, 1985. the target of this assembly used to be to provide and talk about chosen issues linked to shipping phenomena in porous media. through their very nature, porous media and phenomena of delivery of intensive amounts that ensue in them, are very advanced. the forged matrix should be inflexible, or deformable (elastically, or following another constitutive relation), the void house could be occupied via a number of fluid stages. each one fluid section should be composed of multiple part, with some of the parts in a position to interacting between themselves and/or with the cast matrix. The shipping procedure should be isothermal or non-isothermal, without or with part alterations. Porous medium domain names within which huge amounts, akin to mass of a fluid part, part of a fluid section, or warmth of the porous medium as an entire, are being transported happen within the perform in numerous disciplines.
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Extra info for Advances in Transport Phenomena in Porous Media
Three kinds of macroscopic fluxes appear in the balance equation of any extensive quantity: an advective flux, a dispersive one and a diffusive one. Our objective in this chapter is to modify and expand the chapter on macroscopic fluxes appearing in that reference, focusing our attention on the advective and diffusive fluxes of fluid mass and of heat in a porous medium domain. 24 2. 1) where 6a is the volumetric fraction of the a-phase,P a is its density and Ya is its volume averaged velocity. The symbol ~a denotes the intrinsic phase average of ( ) taken over the volume Uoa occupied by the a-phase within the REV of volume Uo (2).
An accurate description of reservoir characteristics is therefore required on many length scales, ranging from 1-100 ~m for pore-scale features, through 1-100 cm for core samples to 1-100 km for reservoir bodies; a range of lOll. Such a description can only be achieved through a thorough understanding of the geological setting combined with geological, geophysical, and petrophysical data from well tests, logs and cores. , 3, 10, 12). , water displacing oil, salt water intruding into 50 potable water) cannot be described so easily, and when the matrix itself has non-uniform properties the processes become very complex.
6 = CaUoa/Sas' where Ca is a shape factor. With this definition of 6, Eq. 27) Finally, for the sake of simplicity, let us assume that the molecular diffusion flux, due to VPa ~ 0 within (U oa )' can be neglected, so that yma = Ya' Then Eq. 28) Eq. 28) is commonly used as a good approximation also for a compressible fluid. S. of Eq. 28) represents the inertial force, the second term represents the resistance force due to shear inside the fluid, the third term represents the force acting on the fluid as a result of pressure gradient and gravity and the last term expresses the force exerted by the solid phase on the flowing fluid.