Thermodynamically constrained averaging theory approach for modeling flow and transport phenomena in porous medium systems: 5. Single-fluid-phase transport

This work is the fifth in a series of papers on the thermodynamically constrained averaging theory (TCAT) approach for modeling flow and transport phenomena in multiscale porous medium systems. The general TCAT framework and the mathematical foundation presented in previous works are used to develop...

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Vydáno v:	Advances in water resources Ročník 32; číslo 5; s. 681 - 711
Hlavní autoři:	Gray, William G., Miller, Cass T.
Médium:	Journal Article Konferenční příspěvek
Jazyk:	angličtina
Vydáno:	Kidlington Elsevier Ltd 01.05.2009 Elsevier
Témata:	Averaged thermodynamics Averaging theory Earth sciences Earth, ocean, space equations Exact sciences and technology groundwater flow Hydrogeology hydrologic models Hydrology. Hydrogeology Model formulation Porous media single fluid phase transport Species transport TCAT thermodynamically constrained averaging theory thermodynamics Porous media Model formulation Averaged thermodynamics TCAT Species transport Averaging theory models diffusion interfaces fluid phase ground water thermodynamics hydrodynamics transport entropy water resources dispersion porous media flow theory
ISSN:	0309-1708, 1872-9657
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Shrnutí:	This work is the fifth in a series of papers on the thermodynamically constrained averaging theory (TCAT) approach for modeling flow and transport phenomena in multiscale porous medium systems. The general TCAT framework and the mathematical foundation presented in previous works are used to develop models that describe species transport and single-fluid-phase flow through a porous medium system in varying physical regimes. Classical irreversible thermodynamics formulations for species in fluids, solids, and interfaces are developed. Two different approaches are presented, one that makes use of a momentum equation for each entity along with constitutive relations for species diffusion and dispersion, and a second approach that makes use of a momentum equation for each species in an entity. The alternative models are developed by relying upon different approaches to constrain an entropy inequality using mass, momentum, and energy conservation equations. The resultant constrained entropy inequality is simplified and used to guide the development of closed models. Specific instances of dilute and non-dilute systems are examined and compared to alternative formulation approaches.
Bibliografie:	http://dx.doi.org/10.1016/j.advwatres.2008.10.013 ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 ObjectType-Article-2 ObjectType-Feature-1
ISSN:	0309-1708 1872-9657
DOI:	10.1016/j.advwatres.2008.10.013