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Thermal consolidation of layered porous half-space to variable thermal loading

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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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References

  1. Kodres C A. Moisture induced pressures in concrete airfield pavements[J]. Journal of Materials in Civil Engineering, 1996, 8(1):41–50.

    Article  Google Scholar 

  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, 28:209–228.

    Article  Google Scholar 

  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.

    Article  MATH  Google Scholar 

  4. Demars K R, Charles R D. Soli volume changes induced by temperature cycling[J]. Canadian Geotechnical Journal, 1982, 19(2):188–194.

    Google Scholar 

  5. McTigue D F. Thermoelastic response of fluid-saturated porous rock[J]. Journal of Geophysical Research, 1986, 91(9):9533–9542.

    Article  Google Scholar 

  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.

    Article  MATH  Google Scholar 

  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.

    Article  MATH  Google Scholar 

  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.

    Article  MATH  Google Scholar 

  9. Wang Y, Papamichos E. Thermal effects of 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.

    Article  MATH  Google Scholar 

  10. Kurashige M. A thermoelastic theory of fluid-filled porous materials[J]. International Journal of Solids and Structures, 1989, 25(9):1039–1052.

    Article  Google Scholar 

  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.

    Article  Google Scholar 

  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.

    Google Scholar 

  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.

    Article  MATH  Google Scholar 

  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.

    Article  Google Scholar 

  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.

    Article  MATH  Google Scholar 

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Correspondence to Bai Bing  (白冰).

Additional information

Communicated by CHEN Zheng-han

Project supported by the National Natural Science Foundation of China (No.50578008)

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Bai, B. Thermal consolidation of layered porous half-space to variable thermal loading. Appl Math Mech 27, 1531–1539 (2006). https://doi.org/10.1007/s10483-006-1111-1

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  • DOI: https://doi.org/10.1007/s10483-006-1111-1

Key words

Chinese Library Classification

2000 Mathematics Subject Classification

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