﻿ Radial Curvilinear Motion in a Free Flow of Compressible Viscoplastic Oil in a Homogeneous Formation | HERALD OF THE BAUMAN MOSCOW STATE STATE TECHNICAL UNIVERSITY
|

# Radial Curvilinear Motion in a Free Flow of Compressible Viscoplastic Oil in a Homogeneous Formation

 Authors: Aslanov Dzh.N., Mustafaev S.D., Ibragimov V.A., Aliyeva R.T. Published: 21.07.2019 Published in issue: #3(126)/2019 Category: Mechanical Engineering and Machine Science | Chapter: Machines, Units and Technological Processes Keywords: free flow, viscoplastic oil, one-dimensional radial flow, mass flow rate, fluid equation of state, oil shrinkage factor, current radius vector, pressure gradient, oil mass flow rate

The paper presents a solution to a steady-state hydrodynamic problem dealing with one-dimensional free-surface radial flow of compressible viscoplastic oil in a horizontal homogeneous circular formation. A vertical producing oil well is located in the centre of the formation, penetrating the pay zone fully, with no well casing or perforation present. We used generalised Darcy's law and equations of state for a compressible fluid to determine mass flow rate of the compressible viscoelastic oil and derive equations for current density, oil flow rate, current pressure distribution in the drainage area, and current pressure gradient. The equations take into account oil compressibility and initial pressure gradient. We also determined the time it takes an oil particle to reach the well starting from the current radius vector and from the external boundary. This is the case when the oil deposit lies close to the earth surface. This depth range features no shale beds or interbedded formations. Since subsurface mining is possible with shallow oil deposits, both wells and tunnels may be used for production

## References

[1] Mirzadzhanzade A.Kh., Akhmedov Z.M., Aliev V.A., et al. Osobennosti razrabotki mestorozhdeniy nen’yutonovskikh neftey [Special aspects of non-newtonian oil fields exploitation]. Moscow, VNIIOENG Publ., 1971.

[2] Mirzadzhanzade A.Kh., Kovalev A.G., Zaytsev Yu.V. Osobennosti ekspluatatsii mestorozhdeniy anomal’nykh neftey [Special aspects of anomalous oil exploitation]. Moscow, Nedra Publ., 1972.

[3] Ogibalov P.M., Mirzadzhanzade A.Kh. Nestatsionarnye dvizheniya vyazko plastichnykh sred [Non-stationary motion of viscoplastic medium]. Moscow, Izd-vo MGU Publ., 1970.

[4] Pykhachev G.B., Isaev R.G. Podzemnaya gidravlika [Underground hydraulics]. Moscow, Nedra Publ., 1972.

[5] Pykhachev G.B., Isaev R.G. Podzemnaya gidravlika [Underground hydraulics]. Moscow, Nedra Publ., 1972.

[6] Pykhachev G.B. Podzemnaya gidravlika [Underground hydraulics]. Moscow, Gostopmekhizdat Publ., 1961.

[7] Basniev K.S., Vlasov A.M., Kochina I.N. Podzemnaya gidravlika [Underground hydraulics]. Moscow, Nedra Publ., 1986.

[8] Mustafaev S.D., Ibragimov V.A., Guliev R.A. Flat-radial unsteady filtration of incompressible viscous-plastic fluid in a compressible porous medium. Mezhdunarodnyy nauchno-issledovatel’skiy zhurnal [International Research Journal], 2016, № 2-2, pp. 33--36 (in Russ.). DOI: 10.18454/IRJ.2016.44.147

[9] Mustafaev S.D., Ibragimov V.A., Kazymov F.K., et al. Spherical-radial unsteady filtration of incompressible viscous-plastic fluid in a compressible porous medium. Izvestiya tekhnicheskikh uchebnykh zavedeniy Azerbaydzhana, 2016, no. 2, pp. 83--88 (in Russ.).

[10] Mirzəcanzadə A.X., Əhmədov Z.M. Yeralti hidroqazodinamika [Underground hydrogecodynamics]. Baki, 1986.