Freezing–Thawing Model for Soils and Rocks
Publication: Journal of Materials in Civil Engineering
Volume 18, Issue 2
Abstract
A coupled model of freezing–thawing of saturated porous materials, such as soils and rocks, is presented. The formulation is based on fundamental laws of continuum mechanics, i.e., conservation of mass, momentum, energy, and on mixtures theory. The problem is first tackled by ignoring irreversible phenomena like soil or rock damage. Therefore it is assumed that the phenomenon of freezing or thawing is governed by the theory of thermodynamics of reversible processes. It is shown that under certain assumptions the energy balance equation may be simplified to an equation with the unknown temperature only. This is a significant result since temperature is an easily measured parameter during an experiment. Subsequently, the heat flow equation is implemented into a one-dimensional finite element code that takes into account the change of phase of pore water during freezing. Finally, it is shown that the model may be used for the analysis of preliminary thawing experiments on a porous sandstone.
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Acknowledgments
This paper is a result of research supported by funds of the MCDUR Project with Contract No. UNSPECIFIEDG6RD-CT-2000-00266 and Acoutherm Project No. UNSPECIFIEDGRD3-2001-60001 of the European Union Research DG (2001–2004).EU
References
Bear, J., and Bachmat, Y. (1990). Introduction to modeling of transport phenomena in porous media, Kluwer Academic, Dordrecht, The Netherlands.
Blanchard, D., and Fremond, M. (1985a). “Mécanique des sols et milieux poreux.” C. R. Acad. Sci. Paris, 14, 637–642 (in French).
Blanchard, D., and Fremond, M. (1985b). “Soils frost heaving and thaw settlement.” Proc., 4th Int. Symp. on Ground Freezing, Sapporo, Japan, 1–8.
Bowen, R. M. (1978). “Theory of mixtures.” Continuum physics, Mixtures and EM Field Theories, C. Eringen, ed., Vol. III, Academic, New York, 1–127.
Crank, J., (1984). Free and moving boundary problems, Clarendon, Oxford, U.K.
Exadaktylos, G., and Asimidis, V. (2004). “Numerical solution of 1D parabolic PDEs by using an isoparametric finite element method with examples from rock engineering.” Proc., Int. Conf. AMIREG 2004, Chania, Crete, Greece, in press.
Hartikainen, J., and Mikkola, M. J. (2001). “Numerical solution of soil freezing problem by a new finite element scheme.” Proc., IUTAM Symp. on “Theoretical and Numerical Methods in Continuum Mechanics of Porous Materials,” W. Ehlers, ed., Kluwer Academic, Dordrecht, The Netherlands, 61–66.
Kubicar, L. (2000). “Pulse method of measuring basic thermophysical parameters.” Comprehensive and analytical chemistry, G. Svehla, ed., Elsevier, Amsterdam, The Netherlands.
Kubicar, L. (2003). “Effects of the weathering of stone materials: Assessment of their mechanical durability.” Rep. No. MCDUR (G6RD-CT2000–00266).
Neaupane, K. M., Yamabe, T., and Yoshinaka, R. (1999). “Simulation of a fully coupled thermo-hydro-mechanical system in freezing and thawing rock.” Int. J. Rock Mech. Min. Sci., 36, 563–580.
Taylor, Sir G. I., and Quinney, H. (1931). “The plastic distortion of metals.” Philos. Trans. R. Soc. London, Ser. A, 230, 323–362.
Truesdell, C., and Toupin, R. (1960). “The classical field theories.” Encyclopedia of Physics, Vol. III/1, Principles of classical mechanics and field theory, Springer, Berlin.
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© 2006 ASCE.
History
Received: Feb 11, 2005
Accepted: Jul 29, 2005
Published online: Apr 1, 2006
Published in print: Apr 2006
Notes
Note. Associate Editor: Hilary I. Inyang
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