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Transformation Technique for Water Table Estimation in a 2-D Aquifer with Inclined Base Subjected to Variable ET

Author

Listed:
  • Surjeet Singh
  • C. Jaiswal
  • K. Shukla
  • K. Singh
  • D. Kumar

Abstract

An analytical solution for two-dimensional water table variation in an aquifer basin with inclined impermeable base has been proposed incorporating the effect of depth-dependent evapotranspiration (ET) from land surface. The proposed analytical solution has been obtained by devising a sound mathematical transformation, which transforms a complex partial differential equation into the simplest form. The results obtained from the proposed solution are in good agreement with the already existing mathematical solutions. The results of the proposed solution have been illustrated to study the variation of water table in the 2-D aquifer. Since the water table profiles are obtained lower by consideration of ET, the solution will result in wider drain spacing and, thus, economy in the drainage design. The proposed analytical solution can be used as an important tool for reliable prediction of water table variation in the salinity affected croplands of arid and semi-arid regions where the ET rate is very high. Copyright Springer Science+Business Media B.V. 2008

Suggested Citation

  • Surjeet Singh & C. Jaiswal & K. Shukla & K. Singh & D. Kumar, 2008. "Transformation Technique for Water Table Estimation in a 2-D Aquifer with Inclined Base Subjected to Variable ET," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 22(11), pages 1521-1530, November.
    • Handle: RePEc:spr:waterr:v:22:y:2008:i:11:p:1521-1530
    DOI: 10.1007/s11269-008-9240-1
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    References listed on IDEAS

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    1. Upadhyaya, A. & Chauhan, H. S., 2000. "An analytical solution for bi-level drainage design in the presence of evapotranspiration," Agricultural Water Management, Elsevier, vol. 45(2), pages 169-184, July.
    2. Surjeet Singh & C. Jaiswal, 2006. "Numerical Solution of 2D Free Surface to Ditch Drains in Presence of Transient Recharge and Depth-Dependent ET in Sloping Aquifer," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 20(5), pages 779-793, October.
    3. Nikam, P. J. & Chauhan, H. S. & Gupta, S. K. & Ram, Sewa, 1992. "Water table behaviour in drained lands: effect of evapotranspiration from the water table," Agricultural Water Management, Elsevier, vol. 20(4), pages 313-328, February.
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    Cited by:

    1. Ghasem Zarei & Mehdi Homaee & Abdolmajid Liaghat, 2009. "Modeling Transient Evaporation from Descending Shallow Groundwater Table Based on Brooks–Corey Retention Function," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 23(14), pages 2867-2876, November.
    2. Rajeev Bansal & Samir Das, 2011. "Response of an Unconfined Sloping Aquifer to Constant Recharge and Seepage from the Stream of Varying Water Level," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 25(3), pages 893-911, February.

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