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A simple solution to tunnel or well discharge under constant drawdown

Perrochet, Pierre

In: Hydrogeology Journal, 2005, vol. 13, no. 5-6, p. 886-888

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    Titre
    • A simple solution to tunnel or well discharge under constant drawdown
    Auteur
    • Perrochet, Pierre. Centre of Hydrogeology, University of Neuchâtel, 2007, Neuchâtel, Switzerland
    Type de document
    • Postprint
    Identifiant OAI-PMH
    • oai:doc.rero.ch:310987
    Summary
    A simple analytical formula is developed to calculate transient discharge inflow rates into a tunnel or a well under constant drawdown. The agreement with the classical, but cumbersome diffusion-equation-based solution of Jacob and Lohman is excellent throughout the range of dimensionless times. By using only a straightforward logarithmic function, this explicit solution may therefore be used with great computational benefits in practice, and also when further mathematical manipulations such as differentiation or integration are required