Moisture and heat transport in hysteretic, inhomogeneous porous media: A matric head‐based formulation and a numerical model

Moisture and heat transport in hysteretic, inhomogeneous porous media: A matric head‐based... A general, physically based formulation of water and energy transport in partially saturated soil must account for the coupling between the fields of matric potential ψ and temperature T. The formulation by de Vries (1958) is converted to one that employs ψ and T as the dependent variables. This conversion facilitates a significant generalization of the theory to accommodate the omnipresent complications of hysteresis and inhomogeneity. The limitations of the assumptions of local thermodynamic equilibrium are discussed. A finite element solution algorithm for the one‐dimensional equations is outlined and tested on a variety of problems. The computational results demonstrate the reliability of the numerical model. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Water Resources Research Wiley

Moisture and heat transport in hysteretic, inhomogeneous porous media: A matric head‐based formulation and a numerical model

Water Resources Research, Volume 18 (3) – Jun 1, 1982

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Publisher
Wiley
Copyright
Copyright © 1982 by the American Geophysical Union.
ISSN
0043-1397
eISSN
1944-7973
D.O.I.
10.1029/WR018i003p00489
Publisher site
See Article on Publisher Site

Abstract

A general, physically based formulation of water and energy transport in partially saturated soil must account for the coupling between the fields of matric potential ψ and temperature T. The formulation by de Vries (1958) is converted to one that employs ψ and T as the dependent variables. This conversion facilitates a significant generalization of the theory to accommodate the omnipresent complications of hysteresis and inhomogeneity. The limitations of the assumptions of local thermodynamic equilibrium are discussed. A finite element solution algorithm for the one‐dimensional equations is outlined and tested on a variety of problems. The computational results demonstrate the reliability of the numerical model.

Journal

Water Resources ResearchWiley

Published: Jun 1, 1982

References

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