Chemistry and Technology of Fuels and Oils

, Volume 54, Issue 6, pp 824–834 | Cite as

A New Multi-Factor Model for Calculating Shale Formation Fracturing Pressure

  • Zhao Xiaojiao
  • Qu Zhan
  • Fan Heng
  • Xu Xiaofeng

A model is set up to calculate shale formation fracturing pressure based on the theory of elastic-plastic fracture mechanics, physicochemical rock fracture mechanics and the maximum tensile stress criterion. The model takes into account such factors as the total stress field and the crustal stress, physicochemical factors including temperature field, shale porosity and the mechanism of seepage of the drilling fluid. The model was verified by field studies of formation fracturing and laboratory investigations of the stress field in triaxial compression of shale core samples with different water contents. The error of the values calculated using the model came to 3.85%, which is close to the measured fracturing pressure. Curves of the dependence of tensile stress and fracturing pressure on water saturation were also obtained. Results show that both the fracturing pressure and the tensile strength decrease with increasing water saturation of the sample, i.e., mechanical characteristics of the rock deteriorate with increasing hydration.


formation fracturing pressure fracture gradient hydration stress thermal stress water saturation seepage 


This study was carried out with the financial support of the National Natural Science Foundation of China (Grants Nos. 51674200, 51704233, 51704237). Special thanks to my daughter Xu Enyu.


  1. 1.
    Liu Ciangjun, et al., Natural Gas Indushy, 17 , No. 1,45-48 (1997)Google Scholar
  2. 2.
    Than Qu and Ping Wang, Creep Damage. Instability Study of Shale, Science press (2016) 10.Google Scholar
  3. 3.
    P. Wang, Zhan Qu, H. Huang, et al., Science Technology & Engineering, 16, No. 15, 66-71(2016).Google Scholar
  4. 4.
    P. Wang, Z. Qu, and H. Huang, Petroleum Drilling Techniques, 43, No. 5, 63-68 (2015).Google Scholar
  5. 5.
    K. M. Wen, P. Chen, L. I. Xiao-Qiang, et al., "The Influence between Shale Hydration and Rock Stress Distribution Relationship," Science Technology & Engineering (2015).Google Scholar
  6. 6.
    IL Huang, Petrol. Explor. Dev., 1982, No. 5, 65-77 (1982).Google Scholar
  7. 7.
    S. G Li, J. G Deng, B. H. Yu, et al., "Formation fracture pressure calculation in high temperatures wells," Chinese Journal of Rock Mechanics & Engineering (2005).Google Scholar
  8. 8.
    V. Maury and A. Guenot, "Practical advantages of mud cooling systems for drilling," SPE, 25732, No. 3, 42-48 (1995).Google Scholar
  9. 9.
    R. Huang, Journal of the University ofPetroleum China, 1984, No. 4, 16-28 (1984).Google Scholar
  10. 10.
    Xiangyang Yan, Yongquan Hu, and Nan Li, Lithologic Hydrocarbon Reservoir, 27, No. 2, 109-113 (2015).Google Scholar
  11. 11.
    J. Deng, Petroleum Drilling Techniques, 37, No. 5, 43-46 (2009).Google Scholar
  12. 12.
    M. E. Chenevert and V. Perrot, "Control of shale swelling pressures using inhibitive water-base muds." WE. 49263(1998).Google Scholar
  13. 13.
    B. M. V. Boas, SPE, 21133,No. 8,439-446 (1992).Google Scholar
  14. 14.
    V. Maury and A. Guenot, SPE, 25732, No. 3, 42-48 (1995).Google Scholar
  15. 15.
    J. C. Guo, Z. H. Zhao, and S. G He, Environment Earth Science, 73,5800-5865 (2015).Google Scholar

Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  • Zhao Xiaojiao
    • 1
    • 2
    • 4
  • Qu Zhan
    • 1
    • 2
    • 4
  • Fan Heng
    • 2
  • Xu Xiaofeng
    • 3
  1. 1.School of Aeronautics, Northwestern Polytechnical UniversityXi’anChina
  2. 2.School of Electronic Engineering, Xi’ an Shiyou UniversityXi’anChina
  3. 3.Standadization and Information Center of CNPC Tubular Goods Research InstituteXi’anChina
  4. 4.The key laboratory of well stability and fluid and rock mechanics in Oil and gas reservoir of Shanxi provinceXi’anChina

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