Journal ArticleDOI
Thermodynamics and constitutive theory for multiphase porous-media flow considering internal geometric constraints
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In this paper, the authors provided the thermodynamic approach and constitutive theory for closure of the conservation equations for multiphase flow in porous media, and showed that capillary pressure is a function of interphase area per unit volume as well as saturation.About:
This article is published in Advances in Water Resources.The article was published on 1999-01-01. It has received 66 citations till now. The article focuses on the topics: Multiphase flow & Euler equations.read more
Citations
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Journal ArticleDOI
Variable-density flow and transport in porous media: approaches and challenges
H.-J.G. Diersch,Olaf Kolditz +1 more
TL;DR: Weaknesses and inconsistencies of current model-verification methods are discussed as well as benchmark solutions for solving the coupled spatio-temporal convection process, consistent velocity approximation, and error-based mesh adaptation techniques.
Journal ArticleDOI
Pore-scale investigation of viscous coupling effects for two-phase flow in porous media.
Huina Li,C. Pan,Cass T. Miller +2 more
TL;DR: A three-dimensional parallel processing version of a two-fluid-phase lattice Boltzmann model is used and a strong correlation between the relative permeability and interfacial area between fluids is found, indicating that both the common extension of Darcy's Law and the generalized formulation accounting for viscous coupling effects do not provide adequate insight into two-phase flow processes in porous media.
Journal ArticleDOI
Interfacial area measurements for unsaturated flow through a porous medium
K. A. Culligan,Dorthe Wildenschild,Dorthe Wildenschild,Britt Christensen,William G. Gray,Mark L. Rivers,Andrew F. B. Tompson +6 more
TL;DR: In this article, the authors used synchrotron based X-ray microtomography to investigate unsaturated flow through a glass bead column and found that the fluid-fluid interfacial area increasing as saturation decreases, reaching a maximum at saturations ranging from 20 to 35% and then decreasing as the saturation continues to zero.
Journal ArticleDOI
Wave propagation through elastic porous media containing two immiscible fluids
TL;DR: In this paper, a general set of coupled partial differential equations was derived to describe dilatational wave propagation through an elastic porous medium permeated by two immiscible fluids, and the results showed that the propagating (P1) mode, which results from in-phase motions of the solid framework and the two pore fluids, moves with a speed equal to the square root of the ratio of an effective bulk modulus to an effective density of the fluid-containing porous medium, regardless of fluid saturation and for both fluid mixtures.
Journal ArticleDOI
Thermodynamic approach to effective stress in partially saturated porous media
TL;DR: In this paper, the authors derived the equilibrium effective stress acting on the solid phase of a porous medium containing two immiscible fluid phases by making use of the postulation of the thermodynamics of the system at the macroscale, a scale on the order of tens of pore diameters.
References
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Journal ArticleDOI
A closed-form equation for predicting the hydraulic conductivity of unsaturated soils
van Genuchten,M. Th. +1 more
TL;DR: Van Genuchten et al. as mentioned in this paper proposed a closed-form analytical expression for predicting the hydraulic conductivity of unsaturated soils based on the Mualem theory, which can be used to predict the unsaturated hydraulic flow and mass transport in unsaturated zone.
Book
Thermodynamics and an Introduction to Thermostatics
TL;DR: The Canonical Formalism Statistical Mechanics in the Entropy Representation as discussed by the authors is a generalization of statistical mechanics in the Helmholtz Representation, and it has been applied to general systems.
Book
Thermodynamics and an Introduction to Thermostatistics
TL;DR: The Canonical Formalism Statistical Mechanics in the Entropy Representation as mentioned in this paper is a generalization of statistical mechanics in the Helmholtz Representation, and it has been applied to general systems.
Book ChapterDOI
The Thermodynamics of Elastic Materials with Heat Conduction and Viscosity
TL;DR: The basic physical concepts of classical continuum mechanics are body, configuration of a body, and force system acting on a body as mentioned in this paper, which can be expressed as follows: a body is regarded as a smooth manifold whose elements are the material points; a configuration is defined as a mapping of the body into a three-dimensional Euclidean space, and a force system is defined to be a vector-valued function defined for pairs of bodies.
Related Papers (5)
Mechanics and thermodynamics of multiphase flow in porous media including interphase boundaries
Thermodynamic basis of capillary pressure in porous media
A closed-form equation for predicting the hydraulic conductivity of unsaturated soils
van Genuchten,M. Th. +1 more