Abstract
The analysis of hydrogeological problems arising in bog watering by methods enabling the depth to groundwater table to be controlled was used to develop a method for estimating the efficiency of such control when data for directly solving groundwater flow problems are lacking. The effect of nonmonotone dependence of the rate of groundwater level rise on the hydraulic conductivity of peat underlain by high-permeability sand rocks is described. This effect is shown to be significant in assessing the potentialities of the operational control of groundwater level in bog massifs with this type of geological structure.
Similar content being viewed by others
Explore related subjects
Discover the latest articles and news from researchers in related subjects, suggested using machine learning.References
Belyaev, A.Yu. and Yushmanov, I.O., A variational principle for problems of steady-state ground water flow with a free surface, Fluid Dyn., 2015, vol. 50, no. 4, pp. 543–557.
Girinskii, N.K., Some issues of groundwater dynamics, Gidrogeol. Inzh. Geol., 1947, no. 9, pp. 27–32.
Ladyzhenskaya, O.A., Solonnikov, V.A., and Ural’tseva, N.N., Lineinye i kvazilineinye uravneniya parabolicheskogo tipa (Linear and Quasilinear Equations of Parabolic Type), Moscow: Nauka, 1967.
Ladyzhenskaya, O.A. and Ural’tseva, N.N., Lineinye i nelineinye uravneniya ellipticheskogo tipa (Linear and Nonlinear Equations of Elliptic Type), Moscow: Nauka, 1973.
Mironenko, V.A. and Serdyukov, L.I., Processing pumping test data for a two-layer bed, Razved. Okhr. Nedr, 1968, no. 10, pp. 34–38.
Myatiev, A.N., Confined system of groundwater and wells, Izv. Akad. Nauk SSSR. Otdel. Tekhn. Nauk., 1947, no. 9, pp. 1069–1088.
Shestakov, V.M., Teoreticheskie osnovy otsenki podpora, vodoponizheniya i drenazha (Theoretical Principles of Evaluating Damming, Drawdown, and Draining), Moscow: Mosk. Gos. Univ., 1965.
Alt, H.W., Strömungen durch inhomogene poröse medien mit freiem rand, J. reine angew. Math., 1979, no. 305, pp. 89–115.
Baiocchi, C. and Friedman, A., A filtration problem in a porous medium with variable permeability, Ann. Mat. Pura Appl., 1977, no. 114, pp. 377–393.
Bear, J., Hydraulics of Groundwater, McGraw Series in Water Resources and Environment Engineering, New York: McGraw-Hill Inc, 1979.
Beliaev, A.Yu., Solvability of free boundary problems for steady groundwater flow, Eur. J. Appl. Math., 2015, vol. 26, no. 6, pp. 821–847.
Chipot, M., Variational inequalities and flow through porous media, Appl. Math. Sci. Ser. 52, New York: Springer, 1984.
Torelli, A., On a free boundary value problem connected with a non steady filtration phenomenon, Annali della Scuola Norm. Sup. di Pisa, 1977, vol. 4, no. 4, pp. 33–59.
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © A.Yu. Belyaev, G.N. Krichevets, N.P. Akhmet’eva, 2018, published in Vodnye Resursy, 2018, Vol. 45, No. 4.
Rights and permissions
About this article
Cite this article
Belyaev, A.Y., Krichevets, G.N. & Akhmet’eva, N.P. Methods of the Theory of Water Flow in Porous Media in Problems Arising in Bog Watering. Water Resour 45, 532–541 (2018). https://doi.org/10.1134/S0097807818040061
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0097807818040061
