Validación de las expresiones para el flujo radial hacia un NATURALES pozo en un acuífero libre.
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| Title: | Validación de las expresiones para el flujo radial hacia un NATURALES pozo en un acuífero libre. |
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| Alternate Title: | Validation of expressions for radial flow into a well in a free aquifer. |
| Authors: | Rincón Vanegas, Juan David1 juandrinconv@gmail.com |
| Source: | Ingenieria Hidraulica y Ambiental. ene-mar2023, Vol. 44 Issue 1, p38-46. 9p. |
| Subjects: | Differential equations, Hydraulics, Aquifers, Radial flow, Watersheds, Binomial theorem, Hydraulic structures, Well water |
| Abstract (English): | 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, the 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. [ABSTRACT FROM AUTHOR] |
| Abstract (Spanish): | La solución de la ecuación diferencial que representa el flujo radial hacia un pozo en un acuífero libre en régimen permanente y no lineal fue propuesta en un principio por Pérez Franco según la ley binómica de flujo que, al no ser integrada en cuadraturas, dicho autor plantea una solución basada en consideraciones físicas que fue verificada en la práctica con resultados apropiados. Por otro lado, Bravo Castillero obtuvo dos soluciones, la primera que coincide con los resultados obtenidos por Pérez Franco y; la segunda, realizando una aproximación asintótica mediante el método de perturbaciones regulares. Ahora bien, el autor con anterioridad propuso una solución basándose en los trabajos de Huyakorn y Dudgeon, por lo cual, resulta necesario validar las soluciones obtenidas aproximando la ecuación diferencial por Runge Kutta cuarto orden. [ABSTRACT FROM AUTHOR] |
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| Database: | Engineering Source |
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