Skip to main content
Log in

Thermohydrodynamic Studies of Vertical Wells in Non-Linear Filtration

  • Published:
Lobachevskii Journal of Mathematics Aims and scope Submit manuscript

Abstract

In this paper the computational algorithm for interpreting the results of hydrodynamic and thermohydrodynamic studies in non-linear filtration is proposed. The algorithm allows to determine the conductivity of the reservoir, the limiting pressure gradient, reservoir pressure and the regularization parameter. Temperature and pressure changes data, measured on a vertical well, are taken as the initial information.

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.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5

Similar content being viewed by others

REFERENCES

  1. P. M. Ogibalov and A. Kh. Mirzadzhanzade,Unsteady Movements of Viscoplastic Media (MGU, Moscow, 1977) [in Russian].

    Google Scholar 

  2. V. V. Davlikamov, Z. A. Khabibullin, and M. M. Kabirov, Abnormal Oil (Nedra, Moscow, 1975) [in Russian].

    Google Scholar 

  3. V. M. Entov, V. I. Ilyaev, S. D. Mustafaev, and N. R. Rakhimov, ‘‘Determination of the initial pressure gradient during the movement of oils in reservoir conditions,’’ Oil Industry J. 9, 53–55 (1971).

    Google Scholar 

  4. G. I. Bernadiner and V. M. Entov,Hydrodynamic Theory of Filtration of Abnormal Fluids (Nauka, Moscow, 1975) [in Russian].

    Google Scholar 

  5. J. F. Owayed and D. Tiab, ‘‘Transient pressure behavier of Bingham non-Newtonian fluids for horizontal wells,’’ Soc. Pet. Eng., SPE, No. 61, 21–32 (2008).

    Google Scholar 

  6. Y. V. Nemerzhitsky, ‘‘On the features of hydrodynamic studies of wells in low-permeability reservoirs,’’ Tr. MFTI 2 (9), 46–56 (2017).

    Google Scholar 

  7. E. R. Badertdinova, M. Kh. Khairullin, M. N. Shamsiev, and R. M. Khairullin, ‘‘Numerical method for solving the inverse problem of nonisothermal filtration,’’ Lobachevskii J. Math. 40 (6), 718–723 (2019).

    Article  MathSciNet  Google Scholar 

  8. A. I. Abdullin, ‘‘Approach to solving the inverse problem of filtration based on descriptive regularization,’’ Lobachevskii J. Math. 49 (11), 1892–1896 (2019).

    Article  MathSciNet  Google Scholar 

  9. A. A. Samarsky, The Theory of Difference Schemes (Nauka, Moscow, 1977; Marcel Dekker, New York, Basel, 2001).

Download references

Author information

Authors and Affiliations

Authors

Corresponding authors

Correspondence to E. R. Badertdinova, R. M. Khairullin, V. R. Gadil’shina or M. Kh. Khairullin.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Badertdinova, E.R., Khairullin, R.M., Gadil’shina, V.R. et al. Thermohydrodynamic Studies of Vertical Wells in Non-Linear Filtration. Lobachevskii J Math 41, 1162–1166 (2020). https://doi.org/10.1134/S1995080220070082

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1995080220070082

Keywords:

Navigation