Nonlinear Analysis of Heat and Moisture Transer in Unsaturated Soil
Publication: Journal of Engineering Mechanics
Volume 113, Issue 8
Abstract
The nonlinear analysis of heat and moisture transfer in partly saturated soil is discussed. A numerical solution of a theoretical formulation derived by the writer is presented. The method allows the nonlinear nature of the soil parameters to be modeled for the first time. The prediction of the coupled transient behavior of several interrelated phenomena is consequently achieved. The algorithm employed consists of a finite element spatial solution procedure coupled with a finite difference time‐stepping scheme. The one‐dimensional application of the model is illustrated with reference to the problem of a soil stratum that is subjected to surface evaporative soil moisture losses. The results obtained reveal the complex pattern of moisture migration that can occur in practice, with moisture transfer taking place simultaneously in two opposite directions. The importance of thermal‐induced flow is demonstrated, together with the influence of the nonlinearities in the soil diffusivities.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Abdel‐Hadi, O. N., and Mitchell, J. K., “Coupled Heat and Water Flows around Buried Cables,” Journal of the Geotechnical Division, ASCE, Vol. 107, No. 11, Nov., 1981, pp. 1461–1487.
2.
Baladi, J. Y., Ayers, D. L., and Schoenhals, R. J., “Transient Heat and Mass Transfer in Soils,” International Journal of Heat Mass Transfer, Vol. 24, No. 3, 1981, 449–458.
3.
Bonacina, C., and Comini, G., “Computer Calculation of Mass and Heat Transfer Phenomena,” Proceedings, Third Conference on Drying, Budapest, Hungary, 1971, pp. 456–465.
4.
Comini, G., and Lewis, R. W., “A Numerical Solution of Two‐Dimensional Problems Involving Heat and Mass Transfer,” International Journal of Heat Mass Transfer, Vol. 19, No. 12, 1976, pp. 1387–1392.
5.
Dakshanamurthy, V., and Fredlund, D. G., “A Mathematical Model for Predicting Moisture Flow in an Unsaturated Soil under Hydraulic and Temperature Gradients,” Water Resources Research, Vol. 17, No. 3, 1981, pp. 714–722.
6.
de Vries, D. A., “Simultaneous Transfer of Heat and Moisture in Porous Media,” Transactions of the American Geophysical Union, Vol. 39, No. 5, 1958, pp. 909–916.
7.
Ewen, J., and Thomas, H. R., “The Thermal Probe—A New Method and its Use on an Unsaturated Sand,” Geotechnique, Vol. 37, No. 1, pp. 91–105.
8.
Farouki, O., “Evaluation of Methods for Calculating Soil Thermal Conductivity,” U.S. Army Corps of Engineers, CRREL Report No. 28‐8, 1982.
9.
Gaudu, R., and Bacon, G., “Numerical Simulation of Heat and Mass Transfer in Unsaturated Porous Media,” Proceedings First International Conference on Numerical Methods in Thermal Problems, Swansea, U.K., 1979, pp. 1122–1130.
10.
Hartley, J. G., and Black, W. Z., “Transient Simultaneous Heat and Mass Transfer in Moist, Unsaturated Soils,” Transactions, ASME, Journal of Heat Transfer, Vol. 103, No. 2, 1981, pp. 376–382.
11.
Lees, M., “A Linear Three‐Level Difference Scheme for Quasilinear Parabolic Equations,” Mathematics of Computation, Vol. 20, 1966, 516–622.
12.
Luikov, A. V., Heat and Mass Transfer in Capillary Porous Bodies, Pergamon Press, Oxford, U.K., 1966.
13.
Milly, P. C. D., “Moisture and Heat Transport in Hysteretic Inhomogeneous Porous Media: a Matrix Head‐based Formulation and a Numerical Model,” Water Resources Research, Vol. 18, No. 3, 1982, pp. 489–498.
14.
Philip, J. R., and de Vries, D. A., “Moisture Movement in Porous Materials under Temperature Gradients,” Transactions, American Geophysical Union, Vol. 38, No. 2, 1957, pp. 222–232.
15.
Preece, R. J., and Blowers, R. M., “A Numerical Method for Evaluating Coupled Heat and Moisture Diffusion through Porous Media with Varying Physical Properties,” Proceedings, First International Conference on Numerical Methods in Thermal Problems, Swansea, U.K., 1979, pp. 527–538.
16.
Salomone, L. A., Kovacs, W. D., and Kusuda, T., “Thermal Performance of Fine‐Grained Soils,” Journal of Geotechnical Engineering, ASCE, Vol. 110, No. 3, Mar., 1984, pp. 359–374.
17.
Shah, D. J., Ramsey, J. W., and Wang, M., “An Experimental Determination of the Heat and Mass Transfer Coefficients in Moist, Unsaturated Soils,” International Journal Heat Mass Transfer, Vol. 27, No. 7, 1984, pp. 1075–1085.
18.
Slegel, D. L., and Davis, L. R., “Transient Heat and Mass Transfer in Soils in the Vicinity of Heated Porous Pipes,” Transactions, ASME, Journal of Heat Transfer, Vol. 99, No. 4, 1977, pp. 541–546.
19.
Sophocleous, M., “Analysis of Water and Heat Flow in Unsaturated‐saturated Porous Media,” Water Resources Research, Vol. 15, No. 5, 1979, pp. 1195–1206.
20.
Strada, M., and Lewis, R. W., “An Improved Solution of Heat and Mass Transfer in Porous Bodies,” Numerical Heat Transfer, Vol. 3, 1980, pp. 429–440.
21.
Thomas, H. R., “Modelling Two‐Dimensional Heat and Moisture Transfer in Unsaturated Soils, Including Gravity Effects,” International Journal of Numeric and Analytic Methods in Geomechanics, Vol. 9, No. 6, 1985, pp. 573–588.
22.
Thomas, H. R., Morgan, K., and Lewis, R. W., “A Fully Non‐linear Analysis of Heat and Mass Transfer Problems in Porous Bodies,” International Journal of Numerical Methods in Engineering, Vol. 15, No. 9, 1980, pp. 1381–1393.
23.
Zienkiewicz, O. C., The Finite Element Method, McGraw‐Hill, Maidenhead, England, 1977.
Information & Authors
Information
Published In
Copyright
Copyright © 1987 ASCE.
History
Published online: Aug 1, 1987
Published in print: Aug 1987
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.