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Article information
2014 , Volume 19, ¹ 2, p.33-61
Esipov D.V., Kuranakov D.S., Lapin V.N., Chernyi S.G.
Mathematical models of hydraulic fracturing
A review of mathematical models for hydraulic fracturing is presented. Widely used one-, two- and three-dimensional models are considered. Both classical and modern models of hydraulic fracturing are described. Modeling of hydraulic fracturing has a number of significant peculiarities since the equations that describe the processes of hydraulic fracturing are non-linear and strongly interrelated. Analysis of the influence of technological parameters becomes difficult because of these peculiarities. Therefore, some of the processes are usually described simplistically. Advantages and disadvantages of simulation approaches are discussed in the review. The major results obtained by using the described models are included into the article.
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Keywords: hydraulic fracturing, mathematical model, stress-strain state of the rock, non-Newtonian fluid flow, fracture propagation criteria, stress intensity factors, nonlinear problem
Author(s):
Esipov Denis Viktorovich
Position: engineer
Office: Institute of Computational Technologies SB RAS
Address: 630090, Russia, Novosibirsk, acad. Lavrentjev avenue 6
Phone Office: (383) 330 73 73
E-mail: yes.eep.off@gmail.com
Kuranakov D.S.
Position: Student
Office: Institute of Computational Technologies SB RAS
Address: 630090, Russia, Novosibirsk, acad. Lavrentjev avenue 6
Phone Office: (383) 330 73 73
Lapin Vasily Nikolaevich
PhD.
Office: Institute of Computational Technologies SB RAS
Address: 630090, Russia, Novosibirsk, Ac. Lavrentjev Ave. 6,
Phone Office: (383) 3307373
E-mail: lapin@ict.sbras.ru
Chernyi Sergey Grigorevich
Dr. , Professor
Position: Head of Laboratory
Office: Institute of Computational Technologies SB RAS
Address: 630090, Russia, Novosibirsk, Ac. Lavrentjev Ave. 6,
Phone Office: (383) 330 73 73
E-mail: cher@ict.nsc.ru
Bibliography link:
Esipov D.V., Kuranakov D.S., Lapin V.N., Chernyi S.G. Mathematical models of hydraulic fracturing // Computational technologies. 2014. V. 19. ¹ 2. P. 33-61
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