Advances in Transport Phenomena in Porous Media by Yehuda Bachmat, Jacob Bear (auth.), Jacob Bear, M. Yavuz

By Yehuda Bachmat, Jacob Bear (auth.), Jacob Bear, M. Yavuz Corapcioglu (eds.)

This quantity comprises the lectures awarded on the NATO complex research INSTITUTE that happened at Newark, Delaware, U. S. A. , July 14-23, 1985. the target of this assembly was once to provide and talk about chosen subject matters linked to shipping phenomena in porous media. by means of their very nature, porous media and phenomena of shipping of in depth amounts that occur in them, are very advanced. the cast matrix could be inflexible, or deformable (elastically, or following another constitutive relation), the void house might be occupied by means of a number of fluid stages. each one fluid section should be composed of a couple of part, with a number of the parts able to interacting between themselves and/or with the cast matrix. The delivery approach can be isothermal or non-isothermal, without or with section adjustments. Porous medium domain names during which wide amounts, resembling mass of a fluid part, part of a fluid part, or warmth of the porous medium as an entire, are being transported happen within the perform in a number of disciplines.

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By definition, and by Eq. 6) Hence, Eq. 2) reduces to 40 or, with Eq. 9) Thus, Eq. 8) is another form of the averaging rule for VG a , this time requiring information on VGa'~a on (SaS)' Two cases, the physical interpretation of which is presented in this paper, may be considered. 10) In this case, Eq. 11) Case B. 13) of (Sai3) where Aa and Ai3 are two coefficients that depend on the physical nature of G and the a and 13 phases, respectively, and Gi3 denotes the value of G in (U oi3 )' By applying Eq.

1. INTRODUCTION Fluid flow in porous media, with or without mass transfer, needs to be understood for many applications, including petroleum reservoir engineering, especially enhanced oil recovery, groundwater hydrology, soil science and waste water disposal. 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.

However this is not a major problem if one is more interested in the local pore-level physics. , 19, 35), which should help to determine which features are artefacts of two dimensions and which are not. For instance at breakthrough in two dimensions the displaced phase will no longer be continuous. Care must also be exercised when considering local grain contact effects, for instance there are 59 difficulties in modeling "pendular" rings of wetting phase in micromodels. The shape may be totally different.

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