Αριθμητική επίλυση και μελέτη της μη-μόνιμης ροής σε κεκλιμένο υδροφορέα με ομοιόμορφη επαναφόρτιση

Abstract

In the present study analyzes the flow in aquifer tilted, which is enriched through vertical supply. The Boiissinesq used the hydraulic theory of Diipnit-Forchhehner to express the saturated groundwater flow through a porous layer, through a nonlinear equation for the current flow, which is determined by the linear gravity and quadratic effect of pressure. Using the differential equation of conservation of mass, the Boussinesq resulted in a non-linear, second order, differential equation expressing the evolution of the depths of the water column in the aquifer. The Henderson and Wooding (1964) developed an accurate analytical solution for permanent stable saturated flow above problem (at a constant rate recharge), and their work deserves special mention in the history of solutions of nonlinear equation of Boiissinesq. However, there is a general solution for the transitional dynamic situation, which has major practical interest for the field of hydrology. In this paper numerically solved the equations for the case of rising during uniformly loaded and the results can be considered as a reference for calibration and checking approximations of simpler models for the evolution of groundwater flow. A similar work has been presented by Beven 1981. but in this diplomatic problem repositioned to different dimensionless format allows you to draw conclusions in relation to the new similarity factor. The gradual transition of the problem of kinematics solution to the conditions imposed by the case of horizontal aquifer becomes clearer and the problematic behaviour of zero enforcement runoff in upstream limit on small slopes.