 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
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| In English (Mech. Solids): | | 4810 |
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| R.A. Bashmakov, N.O. Fokeeva, and V.Sh. Shagapov, "Some Features of Fluid Filtration in a Hydraulic Fracture under Transient Well Operation Conditions," Mech. Solids. 57 (8), 1923-1935 (2022) |
| Year |
2022 |
Volume |
57 |
Number |
8 |
Pages |
1923-1935 |
| DOI |
10.3103/S0025654422080040 |
| Title |
Some Features of Fluid Filtration in a Hydraulic Fracture under Transient Well Operation Conditions |
| Author(s) |
R.A. Bashmakov (Mavlyutov Institute of Mechanics, Ufa Federal Research Center, Russian Academy of Sciences, Ufa, Russia; Bashkir State University, Ufa, Russia, Bashmakov_Rustem@mail.ru)
N.O. Fokeeva (Mavlyutov Institute of Mechanics, Ufa Federal Research Center, Russian Academy of Sciences, Ufa, Russia, ffoxnina@gmail.com)
V.Sh. Shagapov (Mavlyutov Institute of Mechanics, Ufa Federal Research Center, Russian Academy of Sciences, Ufa, Russia, Shagapov@rambler.ru) |
| Abstract |
In this paper, exact analytic solutions of the set of equations describing fluid filtration in
formations subjected to hydraulic fracturing are obtained under transient well operation modes. The
cases, when the bottom hole pressure or the well flow rate changes were considered, taking piecewise
constant values. These solutions are generalized for the case when the bottom pressure and the flow
rate versus time are continuous functions. The solution makes it possible to determine the flow rate or
bottom hole pressure according to the given pressure change law in the bottom or well flow rate and,
as well as pressure evolution in the hydraulic fracture. In special cases, for example, with a Π-shaped
change in the flow rate law, the solutions obtained from comparison of the field flow rate curves and
bottom hole pressure make it possible to determine the conductivity of a hydraulic fracture. Good
agreement is demonstrated between the theoretical pressure change curves constructed from the flow
rate change data and results of field observations. |
| Keywords |
hydraulic fracturing, hydraulic fracture, oil well, fluid filtration, pressure evolution, flow rate, well testing |
| Received |
21 July 2022 | Revised |
30 August 2022 | Accepted |
30 August 2022 |
| Link to Fulltext |
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