The Coupled Transport of Water and Heat in a Vertical Soil Column Under Atmospheric Excitation
Author(s)
Milly, P. Christopher D.; Eagleson, Peter S.![Thumbnail](/bitstream/handle/1721.1/142999/06678926.pdf.jpg?sequence=3&isAllowed=y)
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The purpose of this work is to develop a detailed, physically-based model of the response of the land surface to atmospheric forcing. The coupled, nonlinear partial differential equations governing mass and heat transport in the soil are derived. The theory of Philip and de Vries is re-cast in terms of the soil water matric potential, accounting for soil inhomogeneities and hysteresis of the moisture retention process. An existing model of hysteresis is modified to incorporate the effect of temperature and to facilitate numerical analysis. The Galerkin finite element method is applied in the development of a numerical algorithm for the solution of the governing equations. The numerical procedure is coded in FORTRAN for computer solution and several examples are run in order to test the method. The various modes of mass and heat transport are simulated accurately. A proposed procedure for the evaluation of non-linear storage coefficients in the numerical scheme yields excellent mass and energy balances.
Description
NSF Grant no. ATM-7812327
Date issued
1980-07Publisher
Cambridge, Mass. : Massachusetts Institute of Technology, Dept. of Civil Engineering, Ralph M. Parsons Laboratory for Water Resources and Hydrodynamics
Other identifiers
258
Series/Report no.
R (Massachusetts Institute of Technology. Department of Civil Engineering) ; 80-33.Report (Ralph M. Parsons Laboratory for Water Resources and Hydrodynamics) ; 258.