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IssuesArchive of Issues2024-6pp.3614-3638

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Bo Zhou, Weizhe Qiu, Jiahao Li, Xiaotian Li, Xiuxing Zhu, and Peng Jia, "A Thermo-Mechanical Analytical Model for Geothermal Wells in the Formation with Anisotropic In-Situ Stress," Mech. Solids. 59 (6), 3614-3638 (2024)
Year 2024 Volume 59 Number 6 Pages 3614-3638
DOI 10.1134/S0025654424605792
Title A Thermo-Mechanical Analytical Model for Geothermal Wells in the Formation with Anisotropic In-Situ Stress
Author(s) Bo Zhou (College of Pipeline and Civil Engineering, China University of Petroleum (East China), Qingdao, 266580 China, zhoubo@upc.edu.cn)
Weizhe Qiu (College of Pipeline and Civil Engineering, China University of Petroleum (East China), Qingdao, 266580 China)
Jiahao Li (College of Pipeline and Civil Engineering, China University of Petroleum (East China), Qingdao, 266580 China)
Xiaotian Li (College of Pipeline and Civil Engineering, China University of Petroleum (East China), Qingdao, 266580 China)
Xiuxing Zhu (College of Pipeline and Civil Engineering, China University of Petroleum (East China), Qingdao, 266580 China)
Peng Jia (College of Pipeline and Civil Engineering, China University of Petroleum (East China), Qingdao, 266580 China)
Abstract This work focuses on the theoretical investigation of the thermo-mechanical behaviors of a geothermal well in the formation with anisotropic in-situ stress. First of all, the complex problem of a geothermal well is divided into three simple subproblems: the uniform load subproblem, the cosine load subproblem and the temperature load subproblem. The uniform load subproblem and the temperature load subproblem are analytically solved using the displacement method in elasticity theory, while the cosine load subproblem is analytically solved using the stress function method in elasticity theory. The analytical results of subproblems are compared with the numerical results from finite element method to verify the obtained analytical solutions of subproblems. Then, a thermo-mechanical analytical model of a geothermal well, which includes the analytical formulations of displacement field and stress field, is proposed by superposing the analytical solutions of the above three subproblems. At last, the proposed analytical model is used to investigate thermo-mechanical behaviors of a geothermal well in the formation with anisotropic in-situ stress. Some important influence factors on the stress field of cement sheath of the geothermal well are analyzed and discussed comprehensively. Some valuable results are obtained, which also show that the proposed analytical model can effectively predict the thermo-mechanical behaviors of a geothermal well in the formation with anisotropic in-situ stress. This work is useful for the research on mechanical integrity design of a geothermal well and other related research in oil-gas well engineering.
Keywords Geothermal well, Thermo-mechanical behaviors, Analytical model, Anisotropic in-situ stress
Received 15 October 2024Revised 26 November 2024Accepted 29 November 2024
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