Abstract
The problem of water permeability of a thin impervious screen made of a polymeric geomembrane with flaws (damages) is considered. The screen consists of a covering layer and a ground base underlaid by a drainage bed. The solution is implemented using methods of theory of flow through a porous medium by means of the conformal mapping and velocity hodograph methods. The characteristic feature of this solution is the study of free pressurized–pressureless flow in a porousmediumthrough a continuous slit in the plane formulation. The basic computational dependences are presented and the calculations of the water permeability are carried out by means of the formulas obtained in comparison with the well-known dependences for a particular case.
Similar content being viewed by others
References
V. P. Nedriga, “Water Permeability of Impervious Film Screens,” Tr. VODGEO, Vol. 52, 22–26 (Inzhenernaya Gidrogeologiya, Moscow, 1976) [in Russian].
V. N. Zhilenkov, V. D. Glebov, and N. V. Stabnikov, Recommendations for Designing and Building of Impervious Linings of Gold-Dumps and Production Storages of Power Plant Sewage Waters (P82-79) (Leningrad, Vedeneev VNIIG, 1980) [in Russian].
Ch. Abadjiev and F. Muleshov, “Determination of the Water Permeability of a Screen Consisting of Three Strata Separated by Clay Partings,” Tekhnicheska Mysl 1, 57–62 (1981).
Y. P. Giroud, “Equations for Calculating the Rate of Liquid Migration Through Composite Liners Due to Geomembrane Defects,” Geosynthetics International 4 (3–4), 335–348 (1997).
N. N. Pavlovskii, Selected Works. Vol. 2. Motion of Underground Waters (Izd. AN SSSR, Moscow, Leningrad, 1956) [in Russian].
P. Ya. Polubarinova-Kochina, Theory of Motion of Underground Waters (Nauka, Moscow, 1977) [in Russian].
S. F. Aver’yanov, Seepage from Channels and its Effect on the Underground Water Regime (Kolos, Moscow, 1982) [in Russian].
V. V. Vedernikov, Theory of Flow through a Porous Medium and its Application to Irrigation and Drainage (Gosstroiizdat, Moscow, Leningrad, 1939) [in Russian].
Yu. I. Kosichenko and O. A. Baev, “Theoretical Estimate of Water Permeability of an Impervious Lining with Damaged Continuity,” Izv. Vuzov. Severo-Kavkazskii Region. Tekhn. Nauki, No. 3, 68–74 (2014).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © O.A. Baev, Yu.M. Kosichenko, 2018, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2018, No. 4, pp. 3–11.
Rights and permissions
About this article
Cite this article
Baev, O.A., Kosichenko, Y.M. Hydrodynamic Solution to the Problem of Water Permeability of a Screen with Damaged Continuity. Fluid Dyn 53, 453–460 (2018). https://doi.org/10.1134/S001546281804002X
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S001546281804002X