In the extraction of thermal energy from magma, it is expected that a fracture network would be created due to thermal contraction of the solidified magma formed around the wellbore during heat extraction and the fracture network is expected to work as the flow path of the working fluid for the heat extraction. In the present paper, the stress field in the solidified magma and its variation with respect to time were analyzed based on the creep theory, emphasizing the feasibility of formation of the fracture network for a various types of rocks, i.e., granite, olivine and anorthosite. As for the constitutive law for the creep, the usual incremental flow theory was employed, where the second invariant of the stress deviator is used as the creep potential. It was revealed that, due to the intense effect of creep deformation, the stress distribution for granite was completely different from the elastic stress field and was almost independent of time and growth of solidified region during the heat extraction. The effect of creep deformation is less intense in in the cases of olivine and anorthosite. It was also revealed that the stress on the well bore was compressive regardless of depth in the case of granite. On the contrary to this, it is tensile in the region shallower than 8km in the case of olivine and 6km in anorthosite, implying that, among the three, olivine would be the most potential candidate for the magma energy extraction from the view point of formation of the fracture network. Anorthosite comes next.
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