Abstract
The paper considers the evolution of a pulse signal in the annular gap between a diagnostic probe and an open well in a low-permeability fractured formation. Fractures are located along the well, and the well and the fractured porous medium are filled with the same acoustically compressible fluid. The problem is solved numerically using the fast Fourier transform. Dispersion equations are obtained that describe the propagation of damped traveling waves in the gap taking into account fluid filtration through longitudinal fractures. An analyzed is made of the influence of the filtration characteristics of the reservoir and hydraulic fractures and the width of the gap between the probe body and the borehole wall on the phase velocity, the attenuation coefficient, and the evolution of pulse signals.
Similar content being viewed by others
REFERENCES
V. F. Piven, “Two-Dimensional Filtration in Layers of Varying Conductivity Modeled by a Harmonic Function of Coordinates," Izv. Ross. Akad. Nauk. Mekh. Zhidk. Gaza, N 3, 102–112 (1995).
R. D. Kanevskaya, Mathematical Modeling of Oil and Gas Field Development using Hydraulic Fracturing (Nedra, Moscow, 1999) [in Russian].
M. R. Mavlyutov, V. F. Galiakbarov, V. B. Shtur, V. V. Prokshin, and M. I. Kuznetsov, “Method of Treatment of Oil Reservoirs," Author’s Certificate1373023 SU, IPC E 21 B 43/25, A1, No. 3826843/03; Appl. 19.12.1984.. Publ. 20.08.2000.
V. F. Galiakbarov, R. Kh. Sannikov, M. R. Mavlyutov, R. R. Gilyazetdinov, F. M. Kazyrbaev, and R. S. Tukaev, “Hydrodynamic Pressure Pulsator," Author’s Certificate 1538587 SU, IPC E 21 B 43/00 A2, No. 4263290/03; Appl. 23.03.1987. Publ. 27.08.2000.
V. F. Galiakbarov, E. V. Galiakbarova, K. M. Mustafin, S. G. Zubairov, and B. A. Yakhin, “A Device for Processing the Bottomhole Formation Zone," RU Pat. 164573, IPC E 21 B 43/11 U1., No. 2016110939/03; Appl. 03.24.2016. 10.09.2016.
M. B. Brodskii, V. F. Galiakbarov, E. V. Galiakbarova, K. M. Mustafin, and B. A. Yakhin, “Device for Formation Fluid Triggering Off and Well Treatment," RU Pat. 2640226, IPC E 21 B 43/25, 43/18, 5/42 C1, No. 2016125619; Appl. 27.06.2016. Publ. 27.12.2017.
Yu. P. Zheltov and S. A. Khristianovich, “On Hydraulic Fracturing of an Oil Reservoir," Izv. Akad.Nauk SSSR. Otdel. Tekhn. Nauk, No. 5, 3–41 (1955).
I. A. Chernyi, Underground Fluid Dynamics (Gostoptekhizdat, Moscow, 1948) [in Russian].
G. I. Barenblatt, V. M. Entov, and M. V. Ryzhik, Motion of Liquids and Gases in Natural Formations (Nedra, Moscow, 1984) [in Russian].
H. Cinco-Ley and V. F. Samaniego, “Transient Pressure Analysis for Fractured Wells," J. Petroleum Technol. 33 (9), 1749–1766 (1981).
V. Sh. Shagapov and Z. M. Nagaeva, “On the Theory of Seepage Waves of Pressure in a Fracture in a Porous Permeable Medium," Prikl. Mekh. Tekh. Fiz. 58 (5), 121–130 (2017) [J. Appl. Mech. Tech. Phys. 58 (5), 862–870 (2017); https://doi.org/10.1134/S0021894417050121].
V. Sh. Shagapov and Z. M. Nagaeva, “Harmonic Pressure Waves in Fractures Occurring in Oil and Gas Strata," Inz.-Fiz. Zhurn. 90 (5), 1109–1117 (2017) [J. Eng. Phys. Thermophys. 90 (5), 1053–1060 (2017); https://doi.org/10.1007/s10891-017-1656-0].
I. L. Khabibullin and A. A. Khisamov, “On the Theory of Bilinear Filtration in Hydraulically Fractured Reservoirs," Vestn. Bash. Gos. Univ. 23 (4), 958–963 (2018).
Q. Feng, T. Xia, S. Wang, and H. Singh, “Pressure Transient Behavior of Horizontal Well with Time-Dependent Fracture Conductivity in Tight Oil Reservoirs," Geofluids 2017, 5279792 (2017); DOI: 10.1155/2017/5279792.
Z. A. Bulatov, D. A. Gumerova, and V. Sh. Shagapov, “Evolution of Acoustic Waves in Channels with Permeable-Wall Regions in an Inhomogeneous Porous Medium," Akust. Zhurn. 48 (3), 300–308 (2002) [Acoust. Phys. 48 (3), 254–262 (2002); https://doi.org/10.1134/1.1478107].
V. Sh. Shagapov and Z. A. Bulatova, “On the Theory of Local Acoustic Probing of Borehole Zones in Rocks," Prikl. Mekh. Tekh. Fiz. 43 (6), 142–150 (2002) [J. Appl. Mech. Tech. Phys. 43 (6), 902–909 (2002); https://doi.org/10.1023/A:1020724822921].
G. A. Maksimov and A. V. Radchenko, “Modeling of the Intensification of Oil Production by an Acoustic Action on the Oil Pool from the Borehole," Akust. Zhurn. 51, 118–131 (2005) [Acoust. Phys. 51, S102–S114 (2005); https://doi.org/10.1134/1.2133958].
A. A. Gubaidullin and O. Yu. Boldyreva, “Waves in a Cylindrical Cavity in a Fluid-Saturated Porous Medium," Vestn. Nizhegor. Univ., No. 4-3, 738–739 (2011).
D. J. Hill, M. McEwan-King, and P. Tindall, “Hydraulic Fracturing Monitoring," Pat. 2537419, IPC E 21 B 43/26 C2, No. 2011153423/03; Appl27.05.2010. Publ. 10.01.2015.
V. Sh. Shagapov, E. V. Galiakbarova, and Z. R. Khakimova, “On the Theory of Acoustic Scanning of Pipelines with Damaged Sections," Tr. Inst. Mekhaniki im. R. R. Mavlyutova 11 (2), 180–188 (2016).
V. Sh. Shagapov, E. V. Galiakbarova, I. G. Khusainov, and Z. R. Khakimova, “Acoustic Scanning of Damaged Pipelines in Soil," Prikl. Mekh. Tekh. Fiz. 59 (4), 169–178 (2018) [J. Appl. Mech. Tech. Phys. 59 (4), 724–732 (2018); https://doi.org/10.1134/S002189441804020X].
M. A. Isakovich, General Acoustics (Nauka, Moscow, 1973).
A. N. Tikhonov and A. A. Samarskii, Equations of Mathematical Physics (Nauka, Moscow, 1977) [in Russian].
V. A. Efimov, Mathematical Analysis (Special Sections). (Vysh. Shk., Moscow, 1980). Ch. 1 [in Russian].
A. A. Gubaidullin and O. Yu. Boldyreva, “Computer Modeling of Wave Processes in Porous Media," Vestn. Kibernetiki, No. 2, 103–111 (2016).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2021, Vol. 62, No. 4, pp. 46-56. https://doi.org/10.15372/PMTF20210405.
Rights and permissions
About this article
Cite this article
Shagapov, V.S., Galiakbarova, E.V. & Khakimova, Z.R. ON THE THEORY OF LOCAL SOUNDING OF HYDRAULIC FRACTURES USING PULSED PRESSURE WAVES. J Appl Mech Tech Phy 62, 563–572 (2021). https://doi.org/10.1134/S0021894421040052
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0021894421040052