The Coupled Transport of Water and Heat in a Vertical Soil Column Under Atmospheric Excitation
Name
06678926.pdf
Size
8.33 MB
Format
Adobe PDF
Checksum (MD5)
6eb3146672f9e6cb018e2e09bf7722e0
Author(s)
Milly, P. Christopher D.
Eagleson, Peter S.
Date Issued
July 1980
Publisher
Cambridge, Mass. : Massachusetts Institute of Technology, Dept. of Civil Engineering, Ralph M. Parsons Laboratory for Water Resources and Hydrodynamics
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.
Abstract
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
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