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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2022, Volume 63, Issue 4, Pages 105–115
DOI: https://doi.org/10.15372/PMTF20220411 (Mi pmtf94) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Elastic Liquid Filtration to a Wellbore Through a Perpendicular Crack Formed during Hydraulic Fracturing

V. Sh. Shagapova, Z. M. Nagaevaab, E. P. Anosovab

a Mavlyutov Institute of Mechanics of the Ufa Investigation Center, Russian Academy of Sciences, 450054, Ufa, Russia
b Ufa State Petroleum Technological University, 450062, Ufa, Russia
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DOI: https://doi.org/10.15372/PMTF20220411
Abstract: The problem of fluid withdrawal (or injection) from a reservoir into a well in the presence of a hydraulic fracture perpendicular to the wellbore in the mode of a constant pressure difference between the wellhead and the reservoir is considered. Analytical solutions are obtained that describe the evolution of pressure in the fracture and fluid flow into the well. Approximate solutions are constructed using the method of successive change of stationary states. The comparison of exact and approximate solutions of problems for determining the pressure fields in the fracture and the volumetric flow rate of fluid from the well into the fracture is carried out and it is shown that they practically coincide (the relative difference does not exceed 1–2
Keywords: hydraulic fracturing, fracture, oil wellbore, integro-differential equation, analytical solution, pressure distribution, fluid flow.
Received: 05.07.2021
Revised: 28.10.2021
Accepted: 29.11.2021
English version:
Journal of Applied Mechanics and Technical Physics, 2022, Volume 63, Issue 4, Pages 643–651
DOI: https://doi.org/10.1134/S0021894422040113
Bibliographic databases:
Document Type: Article
UDC: 532.546
Language: Russian
Citation: V. Sh. Shagapov, Z. M. Nagaeva, E. P. Anosova, “Elastic Liquid Filtration to a Wellbore Through a Perpendicular Crack Formed during Hydraulic Fracturing”, Prikl. Mekh. Tekh. Fiz., 63:4 (2022), 105–115; J. Appl. Mech. Tech. Phys., 63:4 (2022), 643–651
Citation in format AMSBIB
\Bibitem{ShaNagAno22}
\by V.~Sh.~Shagapov, Z.~M.~Nagaeva, E.~P.~Anosova
\paper Elastic Liquid Filtration to a Wellbore Through a Perpendicular Crack Formed during Hydraulic Fracturing
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2022
\vol 63
\issue 4
\pages 105--115
\mathnet{http://mi.mathnet.ru/pmtf94}
\crossref{https://doi.org/10.15372/PMTF20220411}
\elib{https://elibrary.ru/item.asp?id=49273192}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2022
\vol 63
\issue 4
\pages 643--651
\crossref{https://doi.org/10.1134/S0021894422040113}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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