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Effect of Well Radius on Drawdown Solutions Obtained with Laplace Transform and Green’s Function

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  • Chiu-Shia Fen
  • Hund-Der Yeh

Abstract

We have developed a drawdown solution for a partially penetrating well under constant flux pumping in a confined aquifer with finite thickness. The predictions of our solution diverge from the predictions of Hantush’s solution ( 1961 ), particularly for problems with low ratios of well screen length to aquifer thickness. Furthermore, the predicted drawdown from Hantush’s solution ( 1961 ) differs from that of Yang et al.’s solution Water Resour Res 42:W0552, ( 2006 ) only near the well and at small time values as indicated in Yang et al. Water Resour Res 42:W0552, ( 2006 ). Our solution is based on Green’s function with a columnar source (sink) that represents pumping from a finite-radius well. Hantush’s solution ( 1961 ) and Yang et al.’s solution Water Resour Res 42:W0552, ( 2006 ), however, were derived from Laplace transform techniques for pumping in a well with an infinitesimal and a finite radius, respectively. Copyright Springer Science+Business Media B.V. 2012

Suggested Citation

  • Chiu-Shia Fen & Hund-Der Yeh, 2012. "Effect of Well Radius on Drawdown Solutions Obtained with Laplace Transform and Green’s Function," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 26(2), pages 377-390, January.
    • Handle: RePEc:spr:waterr:v:26:y:2012:i:2:p:377-390
    DOI: 10.1007/s11269-011-9922-y
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    References listed on IDEAS

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    1. Konstantinos Moutsopoulos & Vassilios Tsihrintzis, 2009. "Analytical Solutions and Simulation Approaches for Double Permeability Aquifers," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 23(3), pages 395-415, February.
    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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    Cited by:

    1. Iraj Saeedpanah & Ramin Golmohamadi Azar, 2017. "New Analytical Expressions for Two-Dimensional Aquifer Adjoining with Streams 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. 31(1), pages 403-424, January.
    2. Emin Ciftci, 2019. "A New Approach for Analyzing Drawdown Data from a Partially Penetrating Well," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 33(8), pages 2727-2739, June.
    3. Iraj Saeedpanah & Ramin Golmohamadi Azar, 2017. "New Analytical Solutions for Unsteady Flow in a Leaky Aquifer between Two Parallel Streams," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 31(7), pages 2315-2332, May.

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