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Nonlinear Wave Control Actions to Increase Oil Recovery of Natural Reserves

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Abstract

When developing oil fields, periodic wave disturbances are used to increase the well flow rate and increase the ultimate oil recovery of the reservoirs. In an inhomogeneous medium, in the presence of dissipation and/or dispersion, the harmonic oscillations generated in the well bottoms turn into sawtooth waves with periodic shock fronts. The article describes and investigates oneand two-dimensional nonlinear mathematical models of such processes.

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REFERENCES

  1. Sharfarets, B.P., On the dynamics of shock waves in a liquid, Nauchn. Priborostr., 2016, vol. 26, no. 4, pp. 43––55.

    Article  Google Scholar 

  2. Rudenko, O.V., Nonlinear sawtooth-shaped waves, Phys.-Usp., 1995, vol. 38, no. 9, pp. 965–989.

    Article  Google Scholar 

  3. Samokhin, A.V., Soliton transmutations in KdV–Burgers layered media, J. Geom. Phys., 2020, vol. 148.

  4. Samokhin, A.V., Nonlinear waves in layered media: solutions of the KdV–Burgers equation, J. Geom. Phys., 2018, vol. 130, pp. 33—39.

    Article  MathSciNet  Google Scholar 

  5. Blacktock, D.T., On plane, cylindrical and spherical sound waves of finite amplitude in lossless fluids, Techn. Rep. AF, Rochester, NY: Gen. Dyn., 1965, vol. 49 (638).

  6. Church, C.C. and Crum, L.A., Physical processes for single bubble sonoluminescence, Proc. 13 Int. Congr. Acoust., (Belgrade, 1985) vol. 4, p. 205.

  7. Musanov, A.G., Rudenko, O.V., and Sapozhnikov, O.A., Advances of Nonlinear Acoustics, Singapore: World Sci., 1993.

    Google Scholar 

  8. Srivastava, V.K., Tamsir M, Bhardwaj, U., and Sanyasiraju, Y.V.S.S., Crank–Nicolson scheme for numerical solutions of two-dimensional coupled Burgers’ equations, Int. J. Sci. Eng. Res., 2011, vol. 2, no. 5, pp. 1—7.

    Google Scholar 

  9. Sharfarets, B.P., On waveguide propagation of sound beams in a nonlinear medium. An overview, Nauchn. Priborostr., 2016, vol. 26, no. 3, pp. 95–107.

    Article  Google Scholar 

  10. Sirotyuk, M.G., Akusticheskaya kavitatsiya (Acoustic Cavitation), Moscow: Nauka, 2008.

    Google Scholar 

  11. Ganiev, R.F. and Ukrainskii, L.E., Nelineinaya volnovaya mekhanika i tekhnologiya (Nonlinear Wave Mechanics and Technology), Moscow: R&C Dyn., 2011.

    Google Scholar 

  12. Ganiev, R.F. and Ukrainskii, L.E., Rezonansnaya makro- i mikromekhanika neftyanogo plasta. Intensifikatsiya dobychi nefti i povyshenie samootdachi. Nauka i praktika (Resonant Macro- and Micromechanics of an Oil Reservoir. Intensification of Oil Production and Increase in Well Productivity. Science and Practice), Moscow–Izhevsk: Inst. Komp’yut. Issled., 2014.

    Google Scholar 

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ACKNOWLEDGMENTS

The figures in the article were created using the PDETools package of the Maple program.

Funding

This work was supported in part by the Russian Science Foundation, project no. 21-71-20034.

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Authors and Affiliations

  1. Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, 117997, Russia

    A. V. Akhmetzyanov & A. V. Samokhin

Authors
  1. A. V. Akhmetzyanov
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  2. A. V. Samokhin
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Corresponding authors

Correspondence to A. V. Akhmetzyanov or A. V. Samokhin.

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Translated by V. Potapchouck

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Akhmetzyanov, A.V., Samokhin, A.V. Nonlinear Wave Control Actions to Increase Oil Recovery of Natural Reserves. Autom Remote Control 83, 721–733 (2022). https://doi.org/10.1134/S0005117922050058

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