MATHEMATICAL MODELING OF THE HYDRAULIC FRACTURE PROPAGATION PROBLEM

D. A. Pestov; N. N. Smirnov; A. V. Akulich; V. V. Tyurenkova

MATHEMATICAL MODELING OF THE HYDRAULIC FRACTURE PROPAGATION PROBLEM

D. A. Pestov, N. N. Smirnov, A. V. Akulich, V. V. Tyurenkova

Abstract

The paper presents hydraulic fracture growth model that takes into account leak-off into the formation. Fracture behavior has been examined as a function of various parameters. Specifically, nonmonotonic relations between the fracture length, fracturing fluid viscosity and injection rate have been identified.

Keywords

гидроразрыв, рост трещины, компьютерное моделирование, hydraulic fracture, fracture propagation, computer simulation

About the Authors

D. A. Pestov

System Research Institute, Russian Academy of Sciences
Russian Federation

N. N. Smirnov

System Research Institute, Russian Academy of Sciences
Russian Federation

A. V. Akulich

System Research Institute, Russian Academy of Sciences
Russian Federation

V. V. Tyurenkova

System Research Institute, Russian Academy of Sciences
Russian Federation

References

1. Smirnov N. N., Kisselev A. B., Nikitin V. F., Smirnova M. N., Tyurenkova V. V. Underground Hydraulic Fracturing Technology Computer Simulations // Proc. The IACGE International Symposium on Geotechnical and Earthquake Engineering (IACGE-2016). BEIJING, China. October 11-13. 2016. Р. 194-202.

2. Акулич А. В., Звягин А. В. Взаимодействие трещины гидроразрыва с естественной трещиной // Изв. Рос. академии наук. Сер. Механика жидкости и газа. 2008. № 3. С. 104-112.

3. Акулич А. В., Звягин А. В. Численное моделирование распространения трещины гидроразрыва // Вестн. Моск. ун-та. Сер. 1. Математика. Механика. 2008. № 1. С. 43-49.

4. Богданов А. В., Звягин А. В., Тьерсилен М. Взаимное влияние системы трещин на коэффициент интенсивности напряжений // Вестн. Моск. ун-та. Сер. 1. Математика, механика. 2004. № 6. С. 44-49.

5. Акулич А. В., Смирнов Н. Н., Тюренкова В. В., Лапко А. В., Галкин В. А. Математическое моделирование распространения трещины гидроразрыва пласта. Сургут : ИЦ СурГУ, 2016. 123 с.

6. Carter R. D. Derivation of the General Equation for Estimating the Extent of the Fractured Area // Appendix I of “Optimum Fluid Characteristics for Fracture Extention”, Drilling and Production Practice. G. C. Howard and C. R. Fast, New York, USA : American Petroleum Institute, 1957. Р. 261-269.

7. Desroches J., Detournay E., Lenoach B., Papanastasiou P., Pearson J. R. A., Thiercelin M., Cheng A. H.-D. The crack tip region in hydraulic fracturing // Proc Roy Soc. London. Ser. A. 1994. A 447. Р. 39-48.

8. Crouch S. L., Starfield A. M. Boundary element methods in solid mechanics. London ; Boston : Allen & Unwin, 1983. 322 p.

Review

For citations:

Pestov D.A., Smirnov N.N., Akulich A.V., Tyurenkova V.V. MATHEMATICAL MODELING OF THE HYDRAULIC FRACTURE PROPAGATION PROBLEM. Proceedings in Cybernetics. 2017;(1 (25)):74-83.

This work is licensed under a Creative Commons Attribution 4.0 License.

ISSN 1999-7604 (Online)

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Proceedings in Cybernetics

MATHEMATICAL MODELING OF THE HYDRAULIC FRACTURE PROPAGATION PROBLEM

Abstract

Keywords

About the Authors

References

Review

For citations:

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