Abstract
Heat source function method is adopted in the present paper to derive elementary solutions of coupled thermo-hydro-mechanical consolidation for saturated porous media under conjunct actions of instantaneous point heat source, instantaneous point fluid source and constant volume force. By using the so-called fictitious heat source method and images method, the solutions of a semi-infinite saturated porous medium subjected to a local heat source with time-varied intensity on its free surface are developed from elementary solutions. The numerical integral methods for calculating the unsteady temperature, pore pressure and displacement fields are given. The thermomechanical response are analyzed for the case of a circular planar heat source. Besides, the thermal consolidation characteristics of a saturated porous medium subjected to a harmonic thermal loading are also given, and the fluctuation processes of the field variables located below the center of heat source are analyzed.
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References
Paaswell R.E.: Temperature effects on clay consolidation. ASCE, Journal of the Soil Mechanics and Foundation Engineering Division, 93(3): 9–21 (1967)
Palciauskas V.V., Domenico P.A.: Characteristics of drained and undrained responses of thermally loaded repository rocks. Water Resources Research, 18(2): 281–290 (1982)
Delage P., Sultan N., Cui Y.J.: On the thermal consolidation of Boom clay. Canadian Geotechnical Journal, 37(4): 343–354 (2000)
Collin F., Li X.L., Radu J.P.: Thermo-hydro-mechanical coupling in clay barriers. Engineering Geology, 64(3): 179–193 (2002)
Pintado X., Ledesma A., Lloret A.: Backanalysis of thermohydraulic bentonite properties from laboratory tests. Engineering Geology, 64(2): 91–115 (2002)
Jing L.R., Feng X.T.: Numerical modeling for coupled thermo-hydro-mechanical and chemical processes of geological media-international and Chinese experiences. Chinese Journal of Rock Mechanics and Engineering, 22(10): 1704–1715 (2003)
Habibagahi K.: Temperature effect and the concept of effective void ratio. Indian Geotechnical Journal, 7(1): 14–34 (1977)
Campanella R.G., Mitchell J.K.: Influence of temperature variations on soil behavior. ASCE, Journal of the Soil Mechanics and Foundation Engineering Division, 94(3): 709–734 (1968)
Gatmiri B., Delage P.: A formulation of fully coupled thermal-hydraulic-mechanical behaviour of saturated porous media-numerical approach. International Journal for Numerical and Analytical Methods in Geomechanics, 21(3): 199–225 (1997)
Carter J.P., Booker J.R.: Finite element analysis of coupled thermoelasticity. Computers and Structures, 31(1): 73–80 (1989)
Pao W.K.S., Lewis R.W., Masters I.: A fully coupled hydro-thermo- poro-mechanical model for black oil reservoir simulation. International Journal for Numerical and Analytical Methods in Geomechanics, 25(12): 1229–1256 (2001)
Britto A.M., Savvidou C., Maddocks D.V., et al.: Numerical and centrifuge modeling of coupled heat flow and consolidation around hot cylinders buried in clay. Geotechnique, 39(1): 13–25 (1989)
Seneviratne H.N., Carter J.P., Airey D.W.: A review of models for predicting the thermomechanical behavior of soft clays. International Journal for Numerical and Analytical Methods in Geomechanics, 17(10): 715–733 (1993)
Li H.S., Liu Z.L., Liang C.J.: Mathematical model for coupled moisture, heat and stress field and numerical simulation of frozen soil. Acta Mechanica Sinica, 33(5): 622–628 (2001) (in Chinese)
Hueckel T., Borsetto M.: Thermoplasticity of saturated soils and shales: constitutive equations. ASCE, Journal of Geotechnical Engineering, 116(12): 1765–1777 (1990)
Blond E., Schmitt N., Hild F.: Response of saturated porous media to cyclic thermal loading. International Journal for Numerical and Analytical Methods in Geomechanics, 27(11): 883–904 (2003)
Booker J.R., Savvidou C.: Consolidation around a spherical heat source. International Journal of Solids Structures, 20(5): 1079–1090 (1984)
McTigue D.F.: Thermoelastic response of a fluid saturated porous rock. Journal of Geophysics Research, 91(9): 9533–9542 (1986)
Smith D.W., Booker J.R.: Green's functions for a fully coupled thermoporoelastic material. International Journal for Numerical and Analytical Methods in Geomechanics, 17(3): 139–163 (1993)
Bai B.: Heat source function method for coupling analyses of thermal consolidation in saturated soil. Acta Mechanica Sinica, 36(4): 427–434 (2004) (in Chinese)
Li X.K., Yao D.M.: Time discontinuous Galerkin finite element method for dynamic analyses in saturated poro-elasto-plastic medium. Acta Mechanica Sinica, 20(1): 64–75 (2004)
Zhang H.J.: Conduction of Heat. Advanced Education Press, Beijing, 1992 (in Chinese)
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The project supported by the National Natural Science Foundation of China (50578008) The English text was polished byYunming Chen.
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Bai, B. Response of saturated porous media subjected to local thermal loading on the surface of semi-infinite space. ACTA MECH SINICA 22, 54–61 (2006). https://doi.org/10.1007/s10409-005-0080-4
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DOI: https://doi.org/10.1007/s10409-005-0080-4