Thermodynamically constrained averaging theory approach for modeling flow and transport phenomena in porous medium systems: 3. Single-fluid-phase flow

This work is the third in a series of papers on the thermodynamically constrained averaging theory (TCAT) approach to modeling flow and transport phenomena in multiscale porous medium systems. Building upon the general TCAT framework and the mathematical foundation presented in previous works in thi...

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Vydané v:Advances in water resources Ročník 29; číslo 11; s. 1745 - 1765
Hlavní autori: Gray, William G., Miller, Cass T.
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Oxford Elsevier Ltd 01.11.2006
Elsevier Science
Predmet:
Averaging theory
Earth sciences
Earth, ocean, space
Exact sciences and technology
groundwater flow
Hydrology. Hydrogeology
mathematical models
porous media
Porous medium models
Single-phase flow
solutes
TCAT
thermodynamics
Porous medium models
Single-phase flow
TCAT
Averaging theory
models
extension
fluid phase
foundations
thermodynamics
focus
transport
conservation
entropy
water resources
buildings
equilibrium
theory
energy
ISSN:0309-1708, 1872-9657
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Shrnutí:This work is the third in a series of papers on the thermodynamically constrained averaging theory (TCAT) approach to modeling flow and transport phenomena in multiscale porous medium systems. Building upon the general TCAT framework and the mathematical foundation presented in previous works in this series, we demonstrate the TCAT approach for the case of single-fluid-phase flow. The formulated model is based upon conservation equations for mass, momentum, and energy and a general entropy inequality constraint, which is developed to guide model closure. A specific example of a closed model is derived under limiting assumptions using a linearization approach and these results are compared and contrasted with the traditional single-phase-flow model. Potential extensions to this work are discussed. Specific advancements in this work beyond previous averaging theory approaches to single-phase flow include use of macroscale thermodynamics that is averaged from the microscale, the use of derived equilibrium conditions to guide a flux–force pair approach to simplification, use of a general Lagrange multiplier approach to connect conservation equation constraints to the entropy inequality, and a focus on producing complete, closed models that are solvable.
Bibliografia:ObjectType-Article-1
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ISSN:0309-1708
1872-9657
DOI:10.1016/j.advwatres.2006.03.010