Mechanics of Solids

, Volume 48, Issue 4, pp 357–363 | Cite as

Mechanical-mathematical and experimental modeling of well stability in anisotropic media

  • D. M. Klimov
  • V. I. Karev
  • Yu. F. Kovalenko
  • K. B. Ustinov


Virtually allmodern gas and oil production technologies are based on directional drilling, and hence well stability issues are of primary importance. It was established that the stability of slanted wells significantly depends on the deformation and strength characteristics of rocks, on the presence and degree of rock anisotropy, and also on the well geometry and the pressure at the well bottom. We suggest a new approach to this problem by modeling the hole making process with the use of a triaxial independent loading test system (TAILTS) based on the mechanical-mathematical model developed here.


rock fracture creeping well oil stability specimen modeling test bench 


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  1. 1.
    I.M. Petukhov and A. P. Zapryagaev, “Stability of Wells of Different Diameter Depending on the Rock Stress State,” Neft. Khoz., No. 5, 22–25 (1984).Google Scholar
  2. 2.
    V. S. Blokhin and V. D. Terent’ev, “A Method for Estimating the Well Wall Stability,” Neft. Khoz., No. 7, 12–15 (1984).Google Scholar
  3. 3.
    Yu. N. Vasiliev and N. I. Dubinina, “Model of Stress State of Well Bottom Zone,” Neft’ Gas, No. 4, 44–47 (2000).Google Scholar
  4. 4.
    A. I. Spivak and A. N. Popov, Rock Fracture in Well Drilling (Nedra, Moscow, 1994) [in Russian].Google Scholar
  5. 5.
    K. M. Tagirov and V. I. Nifontov, Well Drilling and Oil-and-Gas Formation Exposing in Depression (Nedra, Moscow, 2003) [in Russian].Google Scholar
  6. 6.
    D. M. Klimov, V. I. Karev, Yu. F. Kovalenko, and K. B. Ustinov, “Mathematical and Physical Modeling of Rock Fracture in Slanted Well Drilling,” Tekhnolog. TEK, No. 5, 22–27 (2006).Google Scholar
  7. 7.
    S. G. Lekhnitskii, Theory of Elasticity of Anisotropic Body (Nauka, Moscow, 1977) [in Russian].zbMATHGoogle Scholar
  8. 8.
    A. E. H. Love, A Treatise on the Mathematical Theory of Elasticity (Cambridge Univ. Press, Cambridge, 1927; ONTI HKGiP SSSR, Moscow-Leningrad, 1935).zbMATHGoogle Scholar
  9. 9.
    S. A. Batugin and R. K. Nirenburg, “Approximate Relation between the Elastic Constants of Anisotropic Rocks and the Anisotropy Parameters,” Fiz.-Tekh. Probl. Razrab. Polez. Iskopaemykh, No. 1, 7–11 (1972) [J.Mining Sci. (Engl. Transl.) 8 (1), 5–9 (1972)].Google Scholar
  10. 10.
    Yu. P. Zheltov and S. A. Khristianovich, “Hydraulic Fracture of Oil-Bearing Bed,” Izv. Akad. Nauk SSSR. OTN, No. 5, 3–41 (1995).Google Scholar
  11. 11.
    K. Terzaghi, Theoretical Soil Mechanics (John Wiley & Sons, New York, 1943; Gosstroiizdat, Moscow, 1961).CrossRefGoogle Scholar

Copyright information

© Allerton Press, Inc. 2013

Authors and Affiliations

  • D. M. Klimov
    • 1
  • V. I. Karev
    • 1
  • Yu. F. Kovalenko
    • 1
  • K. B. Ustinov
    • 1
  1. 1.Ishlinsky Institute for Problems in MechanicsRussian Academy of SciencesMoscowRussia

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