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Thermodynamic entropy models of the frozen-wall system (I)

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Abstract

In this paper, the author describes, and comments on the traditional thermal theory on artificial ground freezing, and points out its important significance and shortcomings. The frozen-wall is analysed by system analysis methods. According to matter levels, the frozen-wall is divided into three sub-systems: frozen colloid system, frozen soil system and frozen-wall system. They correspond to different characteristics. The frozen-wall system is a large open system with multi-levels and multi-aspects. The problems of stability of the system and its control are the key problems in the techniques of artificial ground freezing. Based on non-equilibrium thermodynamics and dissipative structure theory methods, the author discusses and reveals the problems of the formation and stability of the frozen-wall system and its thermodynamic nature, and proposes the thermodynamic entropy models of the system. The result is a great satisfaction.

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References

  1. El'chaninov, E.A., et al., Temperature conditions designs for permafrost,proceedings of the Third International Conference on Permafrost (1978), 921 – 927.

  2. Jessberger, H., Thermal design of artificial soil freezing systems,Cold Region Science and Technology, 3 (1980), 3 - 27.

    Article  Google Scholar 

  3. Frivik, P.E. and E. Thorberson, Theory and application of ground freezing in civil engineering,Proceedings of the Second International Symposium on Ground Freezing (1980), 556 – 567.

  4. Benacina, C. and G. Comini, Application of heat conductivity equation to ground freezing,Journal of Heat Transfer,16 (1975), 581 - 589.

    Google Scholar 

  5. Suckuqiff, On the stability of permafrost,Proceedings of the Fourth International Conference on Permafrost, USSR special issue (1983), 29 – 34.

  6. Zan Ting-quan, On the applications of systems methods to geocryology,Nature Journal, 11 (1985), 825 - 829. (in Chinese)

    Google Scholar 

  7. Thomson, W., Use of Physics, Phy. Papers (1982), 232.

  8. Nicolis, G. and I. Prigogine,Self-Organization in Non-Equilibrium Systems, John Wiley and Sons (1977).

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Communicated by Wu Xue-mou

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Ting-quan, Z. Thermodynamic entropy models of the frozen-wall system (I). Appl Math Mech 8, 785–792 (1987). https://doi.org/10.1007/BF02017986

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  • DOI: https://doi.org/10.1007/BF02017986

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