Estimation of the heterogeneity of the reservoir fluid inflow to the cross-sectional contour of a vertical well

K.A. Potashev∗ , R.R. Akhunov∗∗

Kazan Federal University, Kazan, 420008 Russia

E-mail: ∗kpotashev@mail.ru, ∗∗rustam777-96@mail.ru

Received May 12, 2020

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DOI: 10.26907/2541-7746.2020.2.180-192

For citation: Potashev K.A., Akhunov R.R. Estimation of the heterogeneity of the reservoir fluid inflow to the cross-sectional contour of a vertical well. Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2020, vol. 162, no. 2, pp. 180–192. doi: 10.26907/2541-7746.2020.2.180-192. (In Russian)

Abstract

The reasons for the heterogeneity of the reservoir fluid inflow to the cross-sectional contour of a vertical well can be: a) asymmetry of the external pressure field relative to the well axis as a result of the interference of the surrounding wells; b) heterogeneity of the permeability field near the well, which is a consequence of either the heterogeneity of the absolute permeability field of the reservoir or the mobility function of the multiphase mixture of formation fluids. To simulate filtration in a reservoir over a relatively long time interval, the main interest is constant or long-term factors associated with well spacing and the distribution of absolute permeability. In the work, solutions of two model problems were constructed, which allow a quantitative evaluation of the influence of both factors on the degree of inhomogeneity of the inflow to the well and indicate the conditions under which this effect becomes significant. The obtained estimates are intended primarily for computational schemes of streamline and streamtube methods, which require a high degree of solution detailing near wells.

Keywords: oil reservoir, aquifer, vertical well, single-phase flow, well bore cross-section, influx profile, permeability field heterogeneity, wells interference, numerical simulation, fine computational grid, streamline, streamtube

References

  1. Aziz K., Settari A. Petroleum Reservoirs Simulation. London, Appl. Sci. Publ., 1979. 476 p.
  2. Kanevskaya R.D. Matematicheskoe modelirovanie gidrodinamicheskikh protsessov razrabotki mestorozhdenii [Simulation of Hydrodynamic Processes of Hydrocarbons Development]. Moscow, Izhevsk, Inst. Komp’yut. Issled., 2003. 128 p. (In Russian)
  3. Khisamov R.S., Ibatullin R.R., Nikiforov A.I., Ivanov A.F., Nizaev R.Kh. Teoriya i praktika modelirovaniya razrabotki neftyanykh mestorozhdenii v razlichnykh geologo-fizicheskikh usloviyakh [Theory and Practice of Oilfield Development Simulation for Various Geologic Conditions]. Kazan, Izd. “Fen” Akad. Nauk RT, 2009. 239 p. (In Russian)
  4. Mazo A.B., Potashev K.A. Superelementy. Modelirovanie razrabotki neftyanykh mestorozhdenii [Superelements. Oilfield Development Simulation]. Moscow, INFRA-M, 2020. 220 p. (In Russian)
  5. Dumkwu F.A., Islam A.W., Carlson E.S. Review of well models and assessment of their impacts on numerical reservoir simulation performance. J. Pet. Sci. Eng., 2012, vols. 8283, pp. 174–186. doi: 10.1016/j.petrol.2011.12.005.
  6. Charnyi I.A. Podzemnaya gidrogazodinamika [Subsurface Fluid and Gas Dynamics]. Moscow, Gostoptekhizdat, 1963. 396 p. (In Russian)
  7. Thiele M.R. Modeling multiphase flow in heterogeneous media using streamtubes. PhD Diss., 1994. 217 p. Available at: https://www.streamsim.com/papers/thielephd.pdf.
  8. Al-Najem A.A., Siddiqui S., Soliman M., Yuen B. Streamline simulation technology: Evolution and recent trends. SPE Saudi Arabia Sect. Tech. Symp. Exhib., 8–11 April, Al-Khobar, Saudi Arabia, 2012, art. SPE-160894-MS. 22 p. doi: 10.2118/160894-MS.
  9. Potashev K.A., Mazo A.B., Ramazanov R.G., Bulygin D.V. Analysis and design of a section of an oil reservoir using a fixed stream tube model. Neft’. Gaz. Novatsii, 2016, vol. 187, no. 4, pp. 32–40. (In Russian)
  10. Mazo A.B., Potashev K.A., Baushin V.V., Bulygin D.V. Numerical simulation of oil reservoir polymer flooding by the model of fixed stream tube. Georesursy, 2017, vol. 19, no. 1, pp. 15–20. (In Russian)
  11. Potashev K.A., Mazo A.B. Numerical simulation of a localized impact on the oil reservoir using fixed stream tubes for typical flooding schemes. Georesursy, 2017, vol. 22, no. 4, in press. (In Russian)
  12. Emanuel A.S., Milliken W.J. Application of streamtube techniques to full-field waterflooding simulation. SPE Res. Eng., 1997, vol. 3, no. 12, pp. 211–217. doi: 10.2118/30758-PA.
  13. Inogamov N.A., Khabeev N.S. Using the method of “rigid stream tubes” for calculating the micellar-polymer flooding of staggered wells. Inzh.-Fiz. Zh., 2007, vol. 80, no. 1, pp. 15–21. (In Russian)
  14. Slotte P.A., Berg C.F. Lecture Notes in Well-Testing. Dep. Geosci. Pet. NTNU, 2019. 156 p. Available at: http://folk.ntnu.no/perarnsl/Literatur/lecturenotes.pdf.
  15. Potashev K.A., Abdrashitova L.R. Accounting the heterogeneous waterflooding of the near-well drainage area for coarse scale simulation of petroleum reservoir. Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2017, vol. 159, no. 1, pp. 116–129. (In Russian)
  16. Barenblatt G.I., Entov V.M., Ryzhik V.M. Dvizhenie zhidkostei i gazov v prirodnykh plastakh [The Motion of Fluids and Gases in Natural Strata]. Moscow, Nedra, 1984, 211 p. (In Russian)
  17. Demidov D.E., Egorov A.G., Nuriev A.N. Application of NVIDIA CUDA technology for numerical solution of hydrodinamic problems. Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2010, vol. 152, no. 1, pp. 142–154. (In Russian)
  18. Kurganov A.M., Buglinskaya E.E. Vodozabory podzemnykh vod [Groundwater Intakes]. St. Petersburg, SPbGASU, 2009. 80 p. (In Russian)

 

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