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Algorithm for Theis Solution
Author(s) -
Gupta A. Das,
Joshi S. G.
Publication year - 1984
Publication title -
groundwater
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.84
H-Index - 94
eISSN - 1745-6584
pISSN - 0017-467X
DOI - 10.1111/j.1745-6584.1984.tb01489.x
Subject(s) - reliability (semiconductor) , drawdown (hydrology) , matching (statistics) , mean squared error , algorithm , approximation error , test data , set (abstract data type) , mathematics , measure (data warehouse) , root mean square , experimental data , computer science , statistics , data mining , geology , engineering , power (physics) , physics , geotechnical engineering , quantum mechanics , aquifer , groundwater , programming language , electrical engineering
An algorithm for the Theis solution of pumping test data has been developed taking into account the basic principles of graphical approach of curve‐matching. The method is simple and does not need initial approximation of transmissivity and storativity as required by approaches suggested by Saleem (1970) and M c Elwee (1980). As a measure of error of fitting, integral square error is computed between the observed drawdown and drawdown calculated from the theoretical equation with the values of coefficients estimated by the procedure. Also root mean square deviation in drawdown is calculated. The algorithm is capable of identifying data with errors in observation or recording. The reliability of the algorithm and its limitations are discussed on the basis of test runs with synthetic data having varying magnitudes of error and varying distributions of error points in the data set. The estimates of parameters by the proposed algorithm for a typical field test data compare very well with the estimates by the sensitivity approach developed by M c Elwee (1980).