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Interaction of a Static Hydraulic Fracture under the Constant Pressure of a Fluid with a Natural Fault

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Abstract

A numerical model of the interaction between a static hydraulic fracture that is under the constant pressure of a fluid and a natural fault is developed. The model describes the mechanisms of opening and closure of the fault and its frictional slippage. Also, a parametric study of the reinitiation of the hydraulic fracture on the fault is performed and the point of this reinitiation is found. For the first time not only qualitative but also quantitative evaluation of the possibility and point of the fracture’s reinitiation is made. The obtained results are compared with the results of the complete hydroelastic model, including the quasi-static hydraulic fracture propagation and the fluid flow inside. This comparison shows that the developed static model is applicable for the real prediction of the hydraulic fracture’s reinitiation on a natural fracture.

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REFERENCES

  1. V. B. Betelin and N. N. Smirnov, On the Problem of Import Independence in the Oil and Gas Industry. Computational Modeling of Active Effects on Oil Reservoirs. Mathematics and Information Technology in the Oil and Gas Industry (Surgutneftegaz, Surgut, 2017), pp. 8–45 [in Russian].

    Google Scholar 

  2. N. N. Smirnov, A. B. Kiselev, V. F. Nikitin, A. V. Zvyagin, M. N. Smirnova, and V. V. Tyurenkova, Predictive Modeling of the Processes of Creating Hydraulic and Gas Fractures and their Subsequent Commissioning. Ways to Realize the Oil and Gas Potential of the Khanty-Mansiysk Autonomous Okrug Yugra (Surg. Gos. Univ., Surgut, 2017), Vol. 1 [in Russian].

    Google Scholar 

  3. N. N. Smirnov, A. B. Kisselev, V. F. Nikitin, M. N. Smirnova, and V. V. Tyurenkova, “Underground hydraulic fracturing technology computer simulations,” in Proceedings of the IACGE International Symposium on Geotechnical and Earthquake Engineering IACGE'2016, Beijing, China, 2016, Oct. 11–13, pp. 194–202.

  4. D. A. Pestov, N. N. Smirnov, A. V. Akulich, and V. V. Tyurenkova, “Mathematical modeling of the hydraulic fracture propagation problem,” Vestn. Kibern., No. 1 (25), 88–93 (2017).

  5. A. V. Akulich, N. N. Smirnov, V. V. Tyurenkova, A. V. Lapko, and V. A. Galkin, Mathematical Modeling of Hydraulic Fracture Propagation (Surg. Gos. Univ., Surgut, 2016) [in Russian].

    Google Scholar 

  6. S. L. Crouch and A. M. Starfield, Boundary Element Methods in Solid Mechanics (Allen and Unwin, London, Boston, 1983).

    Book  MATH  Google Scholar 

  7. J. Tuhkuri, “Dual boundary element analysis of closed cracks,” Int. J. Numer. Methods Eng. 40, 2995–3014 (1997).

    Article  MATH  Google Scholar 

  8. A. V. Phan and J. A. L. Napier, et al., “Symmetric-Galerkin BEM simulation of fracture with frictional contact,” Int. J. Numer. Methods Eng. 57, 835–851 (2003).

    Article  MathSciNet  MATH  Google Scholar 

  9. J. Wang and S. L. Crouch, “An iterative algorithm for modeling crack closure and sliding,” Eng. Fract. Mech. 75, 128–135 (2008).

    Article  Google Scholar 

  10. D. A. Chuprakov, A. V. Akulich, E. Siebrits, and M. Thiercelin, “Hydraulic fracture propagation in a naturally fractured reservoir,” SPE 128715-PP.

  11. J. A. L. Napier, RIFT simulator, private commun. (2009).

  12. A. V. Akulich and A. V. Zvyagin, “Interaction between hydraulic and natural fractures,” Fluid Dyn. 43, 428 (2008).

    Article  MATH  Google Scholar 

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ACKNOWLEDGMENTS

The works performed at Moscow State University were supported by the Russian Foundation for Basic Research, grant no. 16-29-15076.

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Authors and Affiliations

  1. Federal Scientific Center Scientific-Investigative Institute of System Investigations, Russian Academy of Sciences, Moscow, Russia

    A. V. Akulich, D. A. Pestov & V. V. Tyurenkova

  2. Moscow State University, Moscow, Russia

    A. V. Zvyagin, D. A. Pestov, V. V. Tyurenkova & Li Kairui

Authors
  1. A. V. Akulich
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  2. A. V. Zvyagin
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  3. D. A. Pestov
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  4. V. V. Tyurenkova
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  5. Li Kairui
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Corresponding author

Correspondence to A. V. Akulich.

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Translated by L. Mukhortova

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Akulich, A.V., Zvyagin, A.V., Pestov, D.A. et al. Interaction of a Static Hydraulic Fracture under the Constant Pressure of a Fluid with a Natural Fault. Math Models Comput Simul 11, 209–218 (2019). https://doi.org/10.1134/S2070048219020029

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  • DOI: https://doi.org/10.1134/S2070048219020029

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