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The article discusses a comment on a previous paper by Tu et al. that presents an analytical model for a single recirculation well in a confined aquifer with a finite thickness well skin. The comment argues that Tu et al.'s solution is not new and is a special case of a more general problem solved by Perina. The comment also highlights the inadequacy of the literature review in Tu et al.'s paper and mentions another relevant publication by Morozov. The comment concludes that the Tu et al. solution is equivalent to Perina's well function with a single segment used for each screen. [Extracted from the article]

Time‐domain analytical solution for groundwater flow to a fully penetrating flowing well is derived using the same substitution technique used to re‐derive (Perina 2010) the Theis (1935) equation and the approximate solution by Mishra and Guyonnet (1992) is confirmed. The exponential integral‐based flowing well function is a computationally effective alternative to the original Jacob and Lohman (1952) solution in integral form. For a constant drawdown test, the ratio of drawdown at an observation well to the flowrate is equivalent to drawdown response to pumping at unit constant rate; the transformed observations can be analyzed using the Theis (1935) function. Analysis of field test shows that simultaneous fitting to measurements of flow from the test well and drawdown at an observation well results in more accurate and better resolved estimates of aquifer properties than fitting to flow observations only. Article impact statement: Exponential integral‐based solution to the flowing well problem is a computationally effective alternative to Jacob‐Lohman (1952) solution. [ABSTRACT FROM AUTHOR]

A response by Tomas Perina to a letter to the editor regarding his article on subsitution method for Theis equation and similarity transformations is presented.