Skip to main content
Log in

A Boundary Value Problem of Magnetoporosity in Near-Wellbore Space

  • Published:
Numerical Analysis and Applications Aims and scope Submit manuscript

Abstract

The existence and uniqueness of a generalized solution to a boundary value problem for the system of magneto-porosity equations in the dissipative approximation are proved. The results of a numerical solution obtained by a finite element method for a test boundary value problem of magnetoporosity in the frequency domain are presented.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Dorovsky, V.N. and Imomnazarov, Sh.Kh., A Mathematical Model for the Movement of a Conducting Liquid through a Conducting PorousMedium, Math. Comp. Modell., 1994, vol. 20, pp. 91–97.

    Article  MATH  Google Scholar 

  2. Dorovsky, V.N. and Dorovsky, S.V., An EelectromagnetoacousticMethod ofMeasuring Electric Conductivity and ξ-Potential, Geol. Geofiz., 2009, vol. 50, no. 6, pp. 735–744.

    Google Scholar 

  3. Imomnazarov, Sh.Kh. and Dorovsky, V.N., Magnetosonic Oscillations in Well Conditions Determining Electrokinetic Parameters of a Porous Saturated Medium, Mat. XIII mezhdun. nauch. kongr. “Interexpo GEO-Sibir’-2017” (Mat. XIII International Scientific Congress “Interexpo GEO-Siberia-2017”), vol. 1, Novosibirsk: Siberian State University of Geosystems and Technology, 2017, pp. 186–190.

    Google Scholar 

  4. Mikhailov, V.P., Differentsial’nye uravneniya v chastnykh proizvodnykh (Partial Differential Equations), Moscow: Nauka, 1983.

    Google Scholar 

  5. Aubin, J.-P., Priblizhyonnoe reshenie ellipticheskikh kraevykh zadach (Approximation of Elliptic Boundary-Value Problems),Moscow:Mir, 1977.

    Google Scholar 

  6. McLean, W., Strongly Elliptic Systems and Boundary Integral Equations, Cambridge University Press, 2000.

    MATH  Google Scholar 

  7. Marchuk, G.I. and Agoshkov, V.I., Vvedenie v proektsionno-setochnyemetody (Introduction to Projection-GridMethods), Moscow: Nauka, 1981.

    MATH  Google Scholar 

  8. Mikhlin, S.G., Variatsionnye metody v matematicheskoi fizike (Variational Methods in Mathematical Physics),Moscow: Nauka, 1970.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Sh. Kh. Imomnazarov.

Additional information

Russian Text © Sh.Kh. Imomnazarov, M.V. Urev, 2019, published in Sibirskii Zhurnal Vychislitel’noi Matematiki, 2019, Vol. 22, No. 1, pp. 15–25.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Imomnazarov, S.K., Urev, M.V. A Boundary Value Problem of Magnetoporosity in Near-Wellbore Space. Numer. Analys. Appl. 12, 15–25 (2019). https://doi.org/10.1134/S1995423919010026

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1995423919010026

Keywords

Navigation