Skip to main content
SpringerLink
Log in

Groundwater flow to a system of drainage canals

  • Hydrophysical Processes
  • Published:
Water Resources Aims and scope Submit manuscript

    We’re sorry, something doesn't seem to be working properly.

    Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.

Abstract

A classical model of groundwater flow to a system of drainage canals is considered within a framework of a two-dimensional steady-state problem. The solution to this problem is derived based on the Riemann-Schwarts principle of symmetry. This solution yields simple analytical relationships expressed in terms of special or elementary functions. Numerical calculations are used to analyze in detail the effect of all physical characteristics of the model on the flow pattern. In particular, it was established that the presence of water in channels has a significant effect on the flow regime. The limiting cases of the scheme are considered, and simple approximated formulas are derived in these cases for the flow and discharge components.

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

References

  1. Aravin, V.I. and Numerov, S.N., Teoriya dvizheniya zhidkostei i gazov v nedeformiruemoi poristoi srede (Theory of Fluid Motion in a Rigid Porous Medium), Moscow: Gostekhizdat, 1953.

    Google Scholar 

  2. Vedernikov, V.V., Teoriya fil’tratsii i ee primenenie v oblasti irrigatsii i drenazha (Theory of Flow in Porous Medium and Its Application in the Field of Irrigation and Drainage), Moscow: Gostekhizdat, 1939.

    Google Scholar 

  3. Gradshtein, I.S. and Ryzhik, I.M., Tablitsy integralov, summ, ryadov i proizvedenii (Table of Integrals, Sums, Series, and Products), Moscow: Nauka, 1971.

    Google Scholar 

  4. Zhuravskii, A.M., Spravochnik po ellipticheskim funktsiyam (Handbook on Elliptic Functions), Moscow: Akad. Nauk SSSR, 1941.

    Google Scholar 

  5. Lavrent’ev, M.A. and Shabat, B.V., Metody teorii funktsii kompleksnogo peremennogo (Methods of the Theory of Functions of a Complex Variable), Moscow: Nauka, 1973.

    Google Scholar 

  6. Nelson-Skornyakov, F.B., Inflow of Subsoil Water to Drainage Canals on an Aquiclude, Dokl. Akad. Nauk SSSR, 1940, vol. 28, no. 6, pp. 483–487.

    Google Scholar 

  7. Polubarinova-Kochina, P.Ya., Teoriya dvizheniya gruntovykh vod (Theory of Subsoil Water Motion), Moscow: Gostekhizdat, 1952.

    Google Scholar 

  8. Sikorskii, Yu.S., Elementy teorii ellipticheskikh funktsii s prilozheniyami k mekhanike (Elements of the Theory of Elliptic Functions with Application to Mechanics), Moscow: ONTI, 1936.

    Google Scholar 

  9. Uitteker, E.T. and Vatson, Dzh.N., Kurs sovremennogo analiza (Course of Modern Analysis), Moscow: Fizmatgiz, 1965.

    Google Scholar 

  10. Slichter, C., Theoretical investigation on the motion of ground waters. XIX Annual Rept. U. S. Geol. Survey, 1898, Pt. 2, pp. 295–384.

Download references

Author information

Authors and Affiliations

  1. State University of Civil Aviation, ul. Pilotov 38, St. Petersburg, 196210, Russia

    E. N. Bereslavskii

Authors
  1. E. N. Bereslavskii
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Original Russian Text © E.N. Bereslavskii, 2006, published in Vodnye Resursy, 2006, Vol. 33, No. 4, pp. 455–458.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bereslavskii, E.N. Groundwater flow to a system of drainage canals. Water Resour 33, 417–420 (2006). https://doi.org/10.1134/S0097807806040075

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0097807806040075

Keywords

Search

Navigation