Drilling a cylindrical borehole is the first and important step in oil mining. Borehole design and strength check are big problems of utmost importance. Biot introduced a poroelastic constitutive theory for porous rock with freely moving fluid inside. In this paper, by using Biot poroelastic model, we analyze a borehole with drilling fluid in an infinite porous rock with three-dimensional in situ stresses and obtain whole domain solutions for instantaneous, short-time, and long-time stress distributions. Maximum and minimum allowable drilling pressures are given for tensile failure and shear failure criterions, and allowable drilling pressure regions are drawn in the space of in situ hydrostatic stress , deviatoric stress , and pore pressure . By comparing with classical elastic constitutive relations, or Hooke's model, the necessity of Biot poroelastic constitutive relations is shown.
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June 2016
Research-Article
Cylindrical Borehole Failure in a Poroelastic Medium
Yue Gao,
Yue Gao
AML, Department of Engineering Mechanics,
Tsinghua University,
Beijing 100084, China;
Tsinghua University,
Beijing 100084, China;
Center for Mechanics and Materials,
Tsinghua University,
Beijing 100084, China
e-mail: gaoy1992@gmail.com
Tsinghua University,
Beijing 100084, China
e-mail: gaoy1992@gmail.com
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Zhanli Liu,
Zhanli Liu
AML, Department of Engineering Mechanics,
Tsinghua University,
Beijing 100084, China;
Tsinghua University,
Beijing 100084, China;
Center for Mechanics and Materials,
Tsinghua University,
Beijing 100084, China
Tsinghua University,
Beijing 100084, China
Search for other works by this author on:
Zhuo Zhuang,
Zhuo Zhuang
AML, Department of Engineering Mechanics,
Tsinghua University,
Beijing, 100084, China;
Tsinghua University,
Beijing, 100084, China;
Center for Mechanics and Materials,
Tsinghua University,
Beijing 100084, China
Tsinghua University,
Beijing 100084, China
Search for other works by this author on:
Keh-Chih Hwang,
Keh-Chih Hwang
AML, Department of Engineering Mechanics,
Tsinghua University,
Beijing 100084, China;
Tsinghua University,
Beijing 100084, China;
Center for Mechanics and Materials,
Tsinghua University,
Beijing 100084, China
e-mail: huangkz@tsinghua.edu.cn
Tsinghua University,
Beijing 100084, China
e-mail: huangkz@tsinghua.edu.cn
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Yonghui Wang,
Yonghui Wang
Exploration and Development Institute of China
Petroleum Corporation,
Langfang 065007, China
Petroleum Corporation,
Langfang 065007, China
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Lifeng Yang,
Lifeng Yang
Exploration and Development Institute of China
Petroleum Corporation,
Langfang 065007, China
Petroleum Corporation,
Langfang 065007, China
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Henglin Yang
Henglin Yang
Drilling Research Institute, CNPC,
Beijing 102206, China
Beijing 102206, China
Search for other works by this author on:
Yue Gao
AML, Department of Engineering Mechanics,
Tsinghua University,
Beijing 100084, China;
Tsinghua University,
Beijing 100084, China;
Center for Mechanics and Materials,
Tsinghua University,
Beijing 100084, China
e-mail: gaoy1992@gmail.com
Tsinghua University,
Beijing 100084, China
e-mail: gaoy1992@gmail.com
Zhanli Liu
AML, Department of Engineering Mechanics,
Tsinghua University,
Beijing 100084, China;
Tsinghua University,
Beijing 100084, China;
Center for Mechanics and Materials,
Tsinghua University,
Beijing 100084, China
Tsinghua University,
Beijing 100084, China
Zhuo Zhuang
AML, Department of Engineering Mechanics,
Tsinghua University,
Beijing, 100084, China;
Tsinghua University,
Beijing, 100084, China;
Center for Mechanics and Materials,
Tsinghua University,
Beijing 100084, China
Tsinghua University,
Beijing 100084, China
Keh-Chih Hwang
AML, Department of Engineering Mechanics,
Tsinghua University,
Beijing 100084, China;
Tsinghua University,
Beijing 100084, China;
Center for Mechanics and Materials,
Tsinghua University,
Beijing 100084, China
e-mail: huangkz@tsinghua.edu.cn
Tsinghua University,
Beijing 100084, China
e-mail: huangkz@tsinghua.edu.cn
Yonghui Wang
Exploration and Development Institute of China
Petroleum Corporation,
Langfang 065007, China
Petroleum Corporation,
Langfang 065007, China
Lifeng Yang
Exploration and Development Institute of China
Petroleum Corporation,
Langfang 065007, China
Petroleum Corporation,
Langfang 065007, China
Henglin Yang
Drilling Research Institute, CNPC,
Beijing 102206, China
Beijing 102206, China
1Corresponding authors.
Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received January 24, 2016; final manuscript received February 18, 2016; published online March 28, 2016. Assoc. Editor: Shaoxing Qu.
J. Appl. Mech. Jun 2016, 83(6): 061005 (12 pages)
Published Online: March 28, 2016
Article history
Received:
January 24, 2016
Revised:
February 18, 2016
Citation
Gao, Y., Liu, Z., Zhuang, Z., Hwang, K., Wang, Y., Yang, L., and Yang, H. (March 28, 2016). "Cylindrical Borehole Failure in a Poroelastic Medium." ASME. J. Appl. Mech. June 2016; 83(6): 061005. https://doi.org/10.1115/1.4032859
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