Validation of expressions for radial flow into a well in a free aquifer
Keywords:
free aquifer, catchment structures, linear flow, nonlinear flow, well hydraulicsAbstract
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.
Downloads
References
Bravo Castillero, J. (1993). “Flujo radial hacia un pozo en acuífero libre”, Ingeniería Hidráulica, vol. 14, no.2, pp. 15-17, ISSN 2788-6050, Cuidad de la Habana, Cuba.
Bravo Castillero, J. (1994). “Nuevas fórmulas para el cálculo del flujo no lineal permanente en acuífero libre”, Ingeniería Hidráulica, vol. 15, no.1, pp. 21-27, ISSN 2788-6050, Cuidad de la Habana, Cuba.
Huyakorn P. and Dudgeon C. R. (1976). “Investigation of two-regime well flow”, Journal of Hydraulic Engineering, vol. 102, no. 9. pp. 1149-1165, ISSN (online): 2690-2524.
Pérez Franco D. (1982). “Hidráulica subterránea”, Editorial Científico – Técnica, Cuidad de la Habana, Cuba.
Rincón J. D. (2022). “Flujo no lineal permanente en acuíferos confinados y libres en presencia de desarrollo”, Ingeniería Hidráulica y Ambiental, vol. 43, no. 4, pp. 38–46, ISSN 2788-6050, Cuidad de la Habana, Cuba.
Downloads
Published
How to Cite
Issue
Section
License
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Authors who publish in this journal agree to the following terms:
a. The authors retain all copyrights and grant the journal the right to first publish the work as licensed under a Creative Commons Attribution-NonCommercial 4.0 Unported License that allows others to share the work with an acknowledgment of authorship. work and the initial publication in this journal.
b. Authors may separately establish additional agreements with the Editorial Committee for the publication of their work or a version of it in another journal, with an acknowledgment of its initial publication in this journal.
