Abstract

RINCON VANEGAS, Juan David. Validation of expressions for radial flow into a well in a free aquifer. Ing. hidrául. ambient. [online]. 2023, vol.44, n.1, pp. 37-45.  Epub Mar 03, 2023. ISSN 2788-6050.

The solution of the differential equation that represents the radial flow towards a well in a free aquifer in a permanent and nonlinear regime was initially proposed by Pérez Franco according to the binomial flow law which, not being integrated in quadratures, said author proposes a solution based on physical considerations that was verified in practice with appropriate results. On the other hand, Bravo Castillero obtained two solutions, the first one coinciding with the results obtained by Pérez Franco and the second one, making an asymptotic approximation by means of the method of regular perturbations. However, the author previously proposed a solution based on the works of Huyakorn and Dudgeon, therefore, it is necessary to validate the solutions obtained by approximating the differential equation by Runge Kutta fourth order.

Keywords : free aquifer; catchment structures; linear flow; nonlinear flow; well hydraulics.

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