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Research Papers

Cylindrical Borehole Failure in a Poroelastic Medium

[+] Author and Article Information
Yue Gao

AML, Department of Engineering Mechanics,
Tsinghua University,
Beijing 100084, China;
Center for Mechanics and Materials,
Tsinghua University,
Beijing 100084, China
e-mail: gaoy1992@gmail.com

Zhanli Liu

AML, Department of Engineering Mechanics,
Tsinghua University,
Beijing 100084, China;
Center for Mechanics and Materials,
Tsinghua University,
Beijing 100084, China

Zhuo Zhuang

AML, Department of Engineering Mechanics,
Tsinghua University,
Beijing, 100084, China;
Center for Mechanics and Materials,
Tsinghua University,
Beijing 100084, China

Keh-Chih Hwang

AML, Department of Engineering Mechanics,
Tsinghua University,
Beijing 100084, China;
Center for Mechanics and Materials,
Tsinghua University,
Beijing 100084, China
e-mail: huangkz@tsinghua.edu.cn

Yonghui Wang, Lifeng Yang

Exploration and Development Institute of China
Petroleum Corporation,
Langfang 065007, China

Henglin Yang

Drilling Research Institute, CNPC,
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 83(6), 061005 (Mar 28, 2016) (12 pages) Paper No: JAM-16-1044; doi: 10.1115/1.4032859 History: Received January 24, 2016; Revised February 18, 2016

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 P0, deviatoric stress S0, and pore pressure p0. By comparing with classical elastic constitutive relations, or Hooke's model, the necessity of Biot poroelastic constitutive relations is shown.

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References

Figures

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Fig. 2

A schematic for a drilling borehole

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Fig. 1

Drilling underground with fluid

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Fig. 3

Pore pressure of mode 2, p(2), near the boundary, shows the abrupt change with respect to dimensionless time t* ≡ ct / a2

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Fig. 4

Tangential stress of mode 3, σθθ(3), in instantaneous and short-time solutions

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Fig. 5

Allowable pressure region for variations in P0, using ν=0.12, νu=0.31, α=0.65, η=0.28, B=0.88, C0=σV, and T=0.3σV. Loading components are chosen as (i) p0=0.5P0, S0=0; (ii) p0=0.4P0, S0=0; (iii) p0=0.6P0, S0=0 ; and (iv) p0=0.5P0, S0=0.05σV.

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Fig. 6

Comparison of Biot poroelastic model and classic elastic model, the stress profile is contiguous to the M–C criterion line with borehole pressure pw=18.942 MPa

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