Theoretical model of effective stress coefficient for rock/soil-like porous materials

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  author =       "Kai Zhang and Hui Zhou and Dawei Hu and Yang Zhao and 
                 Xiating Feng",
  title =        "Theoretical model of effective stress coefficient for
                 rock/soil-like porous materials",
  journal =      "Acta Mechanica Solida Sinica",
  year =         "2009",
  volume =       "22",
  pages =        "251--260",
  number =       "3",
  address =      "Wuhan, China",
  keywords =     "genetic algorithms, genetic programming,
                 rock/soil-like porous materials",
  ISSN =         "0894-9166",
  URL =          "",
  DOI =          "doi:10.1016/S0894-9166(09)60272-X",
  abstract =     "Physical mechanisms and influencing factors on the
                 effective stress coefficient for rock/soil-like porous
                 materials are investigated, based on which equivalent
                 connectivity index is proposed. The equivalent
                 connectivity index, relying on the meso-scale structure
                 of porous material and the property of liquid, denotes
                 the connectivity of pores in Representative Element
                 Area (REA). If the conductivity of the porous material
                 is anisotropic, the equivalent connectivity index is a
                 second order tensor. Based on the basic theories of
                 continuous mechanics and tensor analysis, relationship
                 between area porosity and volumetric porosity of porous
                 materials is deduced. Then a generalised expression,
                 describing the relation between effective stress
                 coefficient tensor and equivalent connectivity tensor
                 of pores, is proposed, and the expression can be
                 applied to isotropic media and also to anisotropic
                 materials. Furthermore, evolution of porosity and
                 equivalent connectivity index of the pore are studied
                 in the strain space, and the method to determine the
                 corresponding functions in expressions above is
                 proposed using genetic algorithm and genetic
                 programming. Two applications show that the results
                 obtained by the method in this paper perfectly agree
                 with the test data. This paper provides an important
                 theoretical support to the coupled hydro-mechanical

Genetic Programming entries for Kai Zhang Hui Zhou Dawei Hu Yang Zhao Xia-Ting Feng