Skip to main content
SpringerLink
Log in

Time-independence of the solution of the problem of determining the hydraulic conductivity field

  • Approximate Methods of Solution of Boundary-Value Problems of Mathematical Physics
  • Published:
Journal of Soviet Mathematics Aims and scope Submit manuscript

Abstract

We consider the determination of the hydraulic conductivity field of a nonhomogeneous layer with linear seepage of an incompressible fluid in a nonelastic layer. In mathematical terms, the problem is formulated as a Cauchy problem for a partial differential equation of a special form. A theorem is proved which establishes that the solutions obtained for different times are identical.

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

Access this article

Log in via an institution

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

Literature cited

  1. G. V. Golubev, “On convergence of the method of integral relationships for the problem of determination of hydraulic conductivity,” Vychisl. Prikl. Mat., No. 42, 12–17 (1980).

    Google Scholar 

  2. G. V. Golubev, P. G. Danilaev, and G. G. Tumashev, Determination of Hydraulic Conductivity of Petroleum-Bearing Strata by Nonlocal Methods [in Russian], Izd. Kazan. Univ., Kazan' (1978).

    Google Scholar 

  3. G. V. Golubev and G. G. Tumashev, Seepage of Incompressible Fluid in a Nonhomogeneous Porous Medium [in Russian], Izd. Kazan. Univ., Kazan' (1972).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Kazan' Aviation Institute, USSR

    G. V. Golubev

Authors
  1. G. V. Golubev
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Vychislitel'naya i Prikladnaya Matematika, No. 57, pp. 67–70, 1985.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Golubev, G.V. Time-independence of the solution of the problem of determining the hydraulic conductivity field. J Math Sci 58, 245–247 (1992). https://doi.org/10.1007/BF01098334

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01098334

Keywords

Search

Navigation