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Water table fluctuation due to transient recharge in a 2-D aquifer system with inclined base

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Abstract

Recharging of aquifers due to irrigation, seepage from canal beds and other sources leads to the growth of water table near to the ground surface causing problems like water logging and increase of salinity in top soils in many regions of the world. This problem can be alleviated if proper knowledge of the spatio — temporal variation of the water table is available. In this paper an analytical solution for the water table fluctuation is presented for a 2-D aquifer system having inclined impervious base with a small slope in one — direction and receiving time varying vertical recharge. Application of the solution in estimation of water table fluctuation is demonstrated with the help of an example problem.

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Abbreviations

A :

length of the aquifer [L]

B :

width of the aquifer [L]

D :

mean depth of saturation [L]

e :

specific yields

h :

variable water table height [L]

K :

hydraulic conductivity [LT −1]

P(t) :

transient recharge rate [LT −1]

P 1+P o :

initial rate of transient recharge [LT −1]

P 1 :

final rate of transient recharge [LT −1]

q :

slope of the aquifer base in percentage

r :

decay constant [T −1]

t :

time of observation [T]

x, y :

coordinate axes

x 2−x 1 :

length of the recharge basin [L]

y 2−y 1 :

width of the recharge basin [L]

References

  • Agarwal, M. C., Goel, A. C., and Malik, R. K.: 1986, Consequences of irrigated agriculture in arid and semi-arid areas on groundwater, in G. Castary, E. Groba and E. Ramijn (eds.),Impact of agricultural activities on groundwater, IAH Publ.5, 233–242.

  • Abdulrazzak, M. J. and Morel-Seytoux, H. J.: 1983, Recharge from an ephemeral stream following wetting front arrival.Water Resour. Res. 19(1), 194–200.

    Google Scholar 

  • Baumann, P.: 1952, Groundwater movements controlled through spreading.Trans. ASCE 117, 1024–1060.

    Google Scholar 

  • Bear, J.: 1979, Hydraulics of Groundwater, McGraw-Hill, 569 pp.

  • Dagan, G.: 1967, Linearized solutions of free surface ground water flow with uniform recharge,J. Geophys. Res. 72(4), 1183–1193.

    Google Scholar 

  • Glover, R. E.: 1961, Mathematical derivations as pertain to groundwater recharge,Agr. Res. Serv., USDA, Ft. Collins, Colo., 81 pp (mimeo).

  • Hantush, M. S.: 1967, Growth and decay of groundwater mounds in response to uniform percolation,Water Resour. Res. 3(1), 227–234.

    Google Scholar 

  • Khanna, S. P. and Rai, J. N.: 1991, Groundwater management in parts of the Sarda sahayak canal command, Utter Pradesh,Bhujal-News, 39–45.

  • Morel-Seytoux, H. J.: 1984, From excess infiltration to aquifer recharge: A derivation based on the theory of flow of water in unsaturated soils,Water Resour. Res. 20(9), 1230–1240.

    Google Scholar 

  • Ozisik, M. N.: 1980, Heat Conduction, John Wiley, 687 pp.

  • Rai, S. N. and Singh, R. N.: 1981, A mathematical model of water table fluctuations in a semi-infinite aquifer induced by localised transient recharge,Water Resour. Res. 17(4), 1028–1032.

    Google Scholar 

  • Rai, S. N. and Singh, R. N.: 1985, Water table fluctuations in response to time varying recharge, in M. Diskin (ed.),Scientific Basis for Water Resources Management, IAHS Publ. No.,153, 287–294.

  • Rai, S. N. and Singh, R. N.: 1992, Water table fluctuations in an aquifer system owing to time varying surface infiltration and canal recharge,J. Hydrol. 136, 381–387.

    Google Scholar 

  • Rai, S. N., Manglik, A. and Singh, R. N.: 1994, Water table fluctuations in response to transient recharge from a rectangular basin,Water Resour. Manag. 8(1), 1–10.

    Google Scholar 

  • Ram, S. and Chauhan, H. S.: 1987, Analytical and experimental solutions for drainage of sloping lands with time varying recharge.Water Resour. Res. 23(6), 1090–1095.

    Google Scholar 

  • Rao, N. H. and Sarma, P. B. S.: 1981, Recharge from rectangular areas to finite aquifers.J. Hydrol. 53, 269–275.

    Google Scholar 

  • Rastogi, A. K. and Prasad, B.: 1992, FEM modelling to investigate seepage losses from the lined Nadiad branch canal, India,138, 153–168.

  • Singh, R. N. and Rai, S. N.: 1980, On subsurface drainage of transient recharge,J. Hydrol. 48, 303–311.

    Google Scholar 

  • Singh, R. N., Rai, S. N., and Ramana, D. V.: 1991, Water table fluctuations in a sloping aquifer with transient recharge,J. Hydrol., 315–326.

  • Zomorodi, K.: 1991, Evaluation of the response of a water table to a variable recharge rate,Hydrol. Sci. J. 36, 67–78.

    Google Scholar 

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Authors and Affiliations

  1. National Geophysical Research Institute, 500 007, Hyderabad, India

    D. V. Ramana, S. N. Rai & R. N. Singh

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  1. D. V. Ramana
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  2. S. N. Rai
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  3. R. N. Singh
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Ramana, D.V., Rai, S.N. & Singh, R.N. Water table fluctuation due to transient recharge in a 2-D aquifer system with inclined base. Water Resour Manage 9, 127–138 (1995). https://doi.org/10.1007/BF00872464

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  • DOI: https://doi.org/10.1007/BF00872464

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