Consistent thermodynamic formulations for multiscale hydrologic systems: Fluid pressures

Keywords

Porous medium, Work (physics), Scale (ratio), Range (aeronautics), Thermodynamics

References

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• Analysis of the solid phase stress tensor in multiphase porous mediaWilliam G. Gray, Bernhard A. Schrefler — 2007
• Thermodynamically constrained averaging theory approach for modeling flow and transport phenomena in porous medium systems: 1. Motivation and overviewWilliam G. Gray, Cass T. Miller — 2005
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• Incompressible porous media models by use of the theory of mixturesRay M. Bowen — 1980

Cited by

• Coupled Water and Heat Transfer in Permafrost ModelingM. Dall’Amico — 2010
• Heat and moisture transport in unsaturated porous media: A coupled model in terms of chemical potentialEric R. Sullivan — 2013
• Averaging Theory for Description of Environmental Problems: What Have We Learned?William G. Gray, Cass T. Miller, Bernhard A. Schrefler — 2013
• Thermodynamically Constrained Averaging Theory Approach for Heat Transport in Single-Fluid-Phase Porous Medium SystemsWilliam G. Gray, Cass T. Miller — 2009
• Response to comment on ''Averaging theory for description of environmental problems: What have we learned?''William G. Gray, Cass T. Miller, Bernhard A. Schrefler — 2013
• On Diffusion and PermeationStephen Peppin — 2009
• Thermodynamically Constrained Averaging Theory Approach for Modeling Flow and Transport Phenomena in Porous Medium Systems: 7. Single-Phase Megascale Flow ModelsWilliam G. Gray, Cass T. Miller — 2009
• The solid phase stress tensor in porous media mechanics and the Hill–Mandel conditionWilliam G. Gray, Bernhard A. Schrefler, Francesco Pesavento — 2009
• Work input for unsaturated elastic porous mediaWilliam G. Gray, Bernhard A. Schrefler, Francesco Pesavento — 2010
• Thermodynamic analysis of stream flow hydrodynamicsWilliam G. Gray, Mohamed S. Ghidaoui — 2009
• A Theoretical Framework for Modeling the Chemomechanical Behavior of Unsaturated SoilsChangfu Wei — 2014
• Different Thermodynamic Theories and Different Heat Conduction LawsVito Antonio Cimmelli — 2009
• What is the Correct Definition of Average Pressure?S. Korteland, S. Bottero, S. M. Hassanizadeh — 2010
• Thermodynamics of the hydraulic head, pressure head, and gravitational head in subsurface hydrology, and principles for their spatial averagingGerrit H. de Rooij — 2008
• Averaging hydraulic head, pressure head, and gravitational head in subsurface hydrology, and implications for averaged fluxes, and hydraulic conductivity.Gerrit H. de Rooij — 2009
• Detection of potential leakage pathways from geological carbon storage by fluid pressure data assimilationAna González‐Nicolás, Domenico Baù, Ayman H. Alzraiee — 2015
• Transient transport of heat, mass, and momentum in paperboard including dynamic phase change of waterHenrik Askfelt, Marcus Alexandersson, Matti Ristinmaa — 2016
• Thermodynamically Constrained Averaging Theory: Principles, Model Hierarchies, and Deviation Kinetic Energy ExtensionsCass T. Miller, William G. Gray, Christopher E. Kees — 2018
• Geometric state function for two-fluid flow in porous mediaJames E. McClure, Ryan T. Armstrong, Mark A. Berrill — 2018
• Thermodynamics of the hydraulic head, pressure head, and gravitational head in subsurface hydrology, and principles for their spatial averagingde Rooij, G. H. — 2008

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