| At present, Biot theory and theory of porous medium (TPM) has been widely used in many fields, obtaining the coupling parameter relations of the two thermo-poroelasticity models under the local thermal equilibrium and non-equilibrium condition, means a lot in theory and experiment. Also it is necessary to analyze deeply the difference of two theories and mechanical behavior of porous media.In this paper, under the local thermal equilibrium condition, the irrotational solid displacement fields without heat source in an infinite medium, the comparability of two thermo-poroelasticity models based on Biot theory and TPM theory respectively is studies. The coupling parameter relations of the two thermo-poroelasticity models are presented, which are independent of the solid displacement and temperature fields and only dependent of the porous material its characteristics. Thus, these relations are applicable for general cases and a helpful calculation method for the coupling parameters of TPM. Then, in the framework of Biot theory, for infinite plane and infinite body containing arbitrary instantaneous point heat source, analytic solutions of pore pressure are obtained. Also the analytic solutions of difference value of pore pressure and solid displacement between Biot theory and TPM theory are obtained. Finally, using the coupling parameter relations and two porous materials, for the problem of irrotational solid displacement fields (circular heat source, spherical heat source) and rotational solid displacement fields (rectangular heat source), the characteristic and disciplinarian evolution for difference value of pore pressure between Biot theory and TPM theory are numerically analyzed. Under the coupling parameter relations and types of heat source, the difference value of pore pressure is obvious. For the problem of circular heat source and rectangular heat source, the relative error is24%; for the problem of spherical heat source, the relative error is54.3%. |
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