Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
 Founded
in January 1966
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IssuesArchive of Issues2023-7pp.2703-2713

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R.A. Bashmakov, E.V. Galiakbarova, Z.R. Khakimova, and V.Sh. Shagapov, "On Theory of Bottomhole Zone Echoscopy in Low-Permeability Formation Subject to Hydraulic Fracturing," Mech. Solids. 58 (7), 2703-2713 (2023)
Year 2023 Volume 58 Number 7 Pages 2703-2713
DOI 10.3103/S0025654423070038
Title On Theory of Bottomhole Zone Echoscopy in Low-Permeability Formation Subject to Hydraulic Fracturing
Author(s) R.A. Bashmakov (Mavlutov Institute of Mechanics, Ufa Federal Research Center, Russian Academy of Sciences, Ufa, Russia; Ufa University of Science and Technology, Ufa, Russia, Bashmakov_Rustem@mail.ru)
E.V. Galiakbarova (Mavlutov Institute of Mechanics, Ufa Federal Research Center, Russian Academy of Sciences, Ufa, Russia; Ufa State Petroleum Technological University, Ufa, Russia, Emi.galiakbar@yandex.ru)
Z.R. Khakimova (Mavlutov Institute of Mechanics, Ufa Federal Research Center, Russian Academy of Sciences, Ufa, Russia; Ufa State Petroleum Technological University, Ufa, Russia, Zulfya.hakimova@yandex.ru)
V.Sh. Shagapov (Mavlutov Institute of Mechanics, Ufa Federal Research Center, Russian Academy of Sciences, Ufa, Russia, Shagapov@rambler.ru)
Abstract A mathematical model is built describing the evolution of a pulse signal in a well at a longitudinal or a transverse fracture in the bottomhole section. It is assumed that the signal is sent from the wellhead with a wavelength exceeding the well diameter and the length of the open section of the well. The behavior of the echo of the pulse signal returning to the wellhead makes it possible to assess the quality of hydraulic fracturing. The results of numerical calculations for a bell-shaped pulse are presented. It is shown that in diagnosing fractures, water is preferable to oil as a fluid in which the signal propagates.
Keywords pulse signal, hydraulic fracturing, oil well, wave phase, reflection coefficient, harmonic waves
Received 05 December 2022Revised 01 March 2023Accepted 01 March 2023
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