Nonequilibrium fluid filtration in a heterogeneously contaminated near-wellbore zone

Authors

  • I.I. Denysiuk S.I. Subbotin Institute of Geophysics, National Academy of Sciences of Ukraine, Kiev, Ukraine, Ukraine
  • I.A. Skurativska S.I. Subbotin Institute of Geophysics, National Academy of Sciences of Ukraine, Kiev, Ukraine, Ukraine
  • I.M. Hubar S.I. Subbotin Institute of Geophysics, National Academy of Sciences of Ukraine, Kiev, Ukraine, Ukraine

DOI:

https://doi.org/10.24028/gj.v47i2.322507

Keywords:

nonequilibrium filtration, generalized Darcy’s law, porous medium, contaminated near-wellbore zone, well productivity

Abstract

Based on mathematical modeling of fluid filtration in a heterogeneous environment, studies have been conducted to investigate the impact of near-wellbore zone contamination on production well productivity. А model of non-stationary nonequilibrium filtration in a semi-infinite heterogeneous formation with a harmonic perturbation at its boundary was considered. Using the method of separation of variables, a solution to the boundary value problem was obtained, using which the influence of contamination on well productivity was determined.

References

Barenblatt, G.I., Entov, V.M., & Ryzyk, V.M. (1972). Theory of unsteady filtration of liquid and gas. Moscow: Nedra, 212 p. (in Russian).

Denysiuk, I.I., Skurativska, I.A., & Hubar, I.M. (2023). Attenuation of velocity fields during non-equilibrium filtration in a half-space medium for harmonic action on it. Journal of Physical Studies, 27(3), 3801—3808. https://doi.org/10.30970/jps.27.3801 (in Ukrainian).

Skurativskyi, S.I., & Skurativska, I.A. (2019). Solutions of the model of the elastic regime of filtration of liquids and gases with the dynamic law of filtration. Ukrayinsʹkyy Fizychnyy Zhurnal, 64(1), 19—26 (in Ukranian).

Chekurin, V., & Prytula, Z. (2017). Mathematical modeling of the kinetics of gas pressure equalization in a porous layer under small perturbations. Bulletin of the National University of Lviv Polytechnic. Computer Science and Information Technologies, (864), 179—185 (in Ukranian).

Denysiuk, I.I, Skurativska, I.A., Bielinskyi, I.V., Syzonenko, O.M., & Hubar, I.M. (2024). Influence of relaxation on filtering microflows under harmonic action on the layer. Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu, (2), 25―31. https://doi.org/10.33271/nvngu/2024-2/025.

Ding, Y., Longeron, D., Renard, G., & Audibert, A. (2002). Modeling of both near-wellbore damage and natural cleanup of horizontal wells drillea with a water-based mud. Paper presented at the International Symposium and Exhibition on Formation Damage Control. Lafayette, Louisiana, 20―21 February 2002, 16 p.

Published

2025-04-07

How to Cite

Denysiuk, I., Skurativska, I., & Hubar, I. (2025). Nonequilibrium fluid filtration in a heterogeneously contaminated near-wellbore zone. Geofizicheskiy Zhurnal, 47(2). https://doi.org/10.24028/gj.v47i2.322507

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Section

Conferences