Thermal Consolidation of Layered Porous Half-Space to Variable Thermal Loading
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摘要: 对半无限成层饱和多孔介质作用随时间变化的温度荷载的热固结问题进行解析求解.其中,热-水-力耦合线性弹性控制方程考虑了热渗效应和等温热流效应的影响.先采用Laplace变换求其在变换域上的解,然后用数值方法求逆变换.对半无限体表面作用呈指数衰减热荷载的双层体系进行研究,分析了两层介质热固结系数、弹性模量等的差异性对热固结特征的影响.研究表明:位移场和应力场对温度场的耦合作用可以忽略,而热渗效应对温度和孔压有显著影响.Abstract: An analytical method was derived for the thermal consolidation of layered,saturated porous half-space to variable thermal loading with time.In the coupled governing equations of linear thermoelastic media,the influences of thermo-osmosis effect and thermal filtration effect were introduced.Solutions in Laplace transform space were first obtained and then numerically inverted.The responses of a double-layered porous space subjected to exponential decaying thermal loading were studied.The influences of the differences between the properties of the two layers(e.g.the coefficient of thermal consolidation,elastic modulus)on thermal consolidation were discussed.The studies show that the coupling effects of displacement and stress fields on temperature field can be completely neglected,however,the thermo-osmosis effect has an obvious influence on thermal responses.
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Key words:
- thermal loading /
- half-space body /
- porous medium /
- numerical integration
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[1] Kodres C A.Moisture induced pressures in concrete airfield pavements[J]. Journal of Materials in Civil Engineering,1996,8(1):41—50. doi: 10.1061/(ASCE)0899-1561(1996)8:1(41) [2] Cekerevac C, Laloui L.Experimental study of thermal effects on the mechanical behaviour of a clay[J].International Journal for Numerical and Analytical Methods in Geomechanics,2004,28(3):209—228. doi: 10.1002/nag.332 [3] Blond E, Schmitt N, Hild F. Response of saturated porous media to cyclic thermal loading[J].International Journal for Numerical and Analytical Methods in Geomechanics,2003,27(11):883—904. doi: 10.1002/nag.301 [4] Demars K R, Charles R D.Soil volume changes induced by temperature cycling[J].Canadian Geotechnical Journal,1982,19(2):188—194. doi: 10.1139/t82-021 [5] McTigue D F. Thermoelastic response of fluid-saturated porous rock[J].Journal of Geophysical Research,1986,91(9):9533—9542. doi: 10.1029/JB091iB09p09533 [6] Smith, D W,Booker J R.Green's functions for a fully coupled thermoporoelastic material[J].International Journal for Numerical and Analytical Methods in Geomechanics,1993,17(3):139—163. doi: 10.1002/nag.1610170302 [7] Bai M, Abousleiman Y.Thermoporoelastic coupling with application to consolidation[J].International Journal for Numerical and Analytical Methods in Geomechanics,1997,21(2):121—132. doi: 10.1002/(SICI)1096-9853(199702)21:2<121::AID-NAG861>3.0.CO;2-W [8] Giraud A, Homand F, Rousset G.Thermoelastic and thermoplastic response of a double-layer porous space containing a decaying heat source[J].International Journal for Numerical and Analytical Methods in Geomechanics,1998,22(2):133—149. doi: 10.1002/(SICI)1096-9853(199802)22:2<133::AID-NAG915>3.0.CO;2-B [9] Wang Y, Papamichos E. Thermal effects on fluid flow and hydraulic fracturing from wellbores and cavities in low-permeability formations[J].International Journal for Numerical and Analytical Methods in Geomechanics,1999,23(15):1819—1834. doi: 10.1002/(SICI)1096-9853(19991225)23:15<1819::AID-NAG999>3.0.CO;2-9 [10] Kurashige M.A thermoelastic theory of fluid-filled porous materials[J]. Internatinal Journal of Solids and Structures,1989,25(9):1039—1052. doi: 10.1016/0020-7683(89)90020-6 [11] BAI Bing. Response of saturated porous media subjected to local thermal loading on the surface of semi-infinite space[J].Acta Mechanica Sinica,2006,22(1):54—61. doi: 10.1007/s10409-005-0080-4 [12] Srivastava R C,Avasthi P K.Non-equilibrium thermodynamics of thermo-osmosis of water through kaolinite[J].Journal of Hydraulics,1975,24(2):110—120. [13] Zhou Y, Rajapakse R K N D,Graham J. Coupled consolidation of a porous medium with a cylindrical or a spherical cavity[J].International Journal for Numerical and Analytical Methods in Geomechanics,1998,22(6):449—475. doi: 10.1002/(SICI)1096-9853(199806)22:6<449::AID-NAG930>3.0.CO;2-H [14] Horseman S T,McEwen T J.Thermal constraints on disposal of heat-emitting waste in argillaceous rocks[J].Engineering Geology,1996,41(1):5—16. doi: 10.1016/0013-7952(95)00046-1 [15] Giraud A, Rousset G. Thermoelastic and thermoplastic response of a porous space submitted to a decaying heat source[J].International Journal for Numerical and Analytical Methods in Geomechanics,1995,19(4):475—495. doi: 10.1002/nag.1610190703
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