Abstract
ABSTRACTFormulation and solution of one‐dimensional analytical and computational models, linear as well as nonlinear, pertaining to a typical ground‐water recharge pattern are presented. The objective of this investigation is to direct attention toward an evaluation and correlation of the various theoretical models based on the Dupuit‐Forchheimer (D‐F) approximations for the unsteady hydrodynamic behavior of the proposed recharge system under saturated flow conditions. Comparisons with the pertinent experimental data, presented in the form of dimensionless graphs, indicate that the linear D‐F theory is valid for relatively small water‐table rises but for large rises it predicts substantially greater rises than actually occur, particularly beneath and in the vicinity of the recharge basin. The range of validity is considerably improved between theory and experiments for relatively large rises using the nonlinear theory.
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