Hantush Well Function revisited

JOURNAL OF HYDROLOGY

卷:393

Article

Veling, E. J. M.¹  Maas, C.^1,2 

[1] Delft Univ Technol, Fac Civil Engn & Geosci, Dept Watermanagement, NL-2600 GA Delft, Netherlands

[2] KWR, NL-3430 BB Nieuwegein, Netherlands

关键词: Hantush Well Function;    Generalized Incomplete Gamma Function;    Pumping test;    Leaky aquifer;    Closed-form representation;    Time series analysis;   

DOI  :  10.1016/j.jhydrol.2010.08.033

来源: Elsevier

【 摘 要 】

In this paper, we comment on some recent numerical and analytical work to evaluate the Hantush Well Function. We correct an expression found in a Comment by Nadarajah [Nadarajah, S., 2007. A comment on numerical evaluation of Theis and Hantush-Jacob well functions. Journal of Hydrology 338, 152-153] to a paper by Prodanoff et al. [Prodanoff, J.A., Mansur, W.J., Mascarenhas, F.C.B., 2006. Numerical evaluation of Theis and Hantush-Jacob well functions. Journal of Hydrology 318, 173-183]. We subsequently derived another analytic representation based on a generalized hypergeometric function in two variables and from the hydrological literature we cite an analytic representation by Hunt [Hunt, B., 1977. Calculation of the leaky aquifer function. Journal of Hydrology 33, 179-183]. We have implemented both representations and compared the results. Using a convergence accelerator Hunt's representation of Hantush Well Function is efficient and accurate. While checking our implementations we found that Bear's table of the Hantush Well Function [Bear, J., 1979. Hydraulics of Groundwater. McGraw-Hill, New York, Tables 8-6] contains a number of typographical errors that are not present in the original table published by Hantush [Hantush, M.S., 1956. Analysis of data from pumping tests in leaky aquifers. Transactions, American Geophysical Union 37, 702-714]. Finally, we offer a very fast approximation with a maximum relative error of 0.0033 for the parameter range in the table given by Bear. (C) 2010 Elsevier B.V. All rights reserved.

【 授权许可】

Free