Abstract
The physical problem, dealt with in this article, is the unsteady ground water flow in an aquifer of limited horizontal extent and arbitrary boundary shape. The unsteady ground water level is found to be described by the differential equation of heat conduction, the solution of which includes the solving of an eigenvalue problem by a numerical method. Analytical solutions for geometrically simple areas are shown for comparison. Boundary conditions are provided by nature in the form of watertight formations, rivers, lakes of any kind of constant hydraulic head in connection with the aquifer. The run-off is found to be a sum of the flow through infinitely many linear reservoirs, corresponding to the eigen-functions. The resulting equations for ground water level and run-off discharge are sum of convolution integrals of the infiltration, an easy process to handle in a digital computer. Finally, the mathematical model derived is used to analyse the inflow into a water reservoir in Iceland from a nearby lavafield, and the run-off is compared with flow data
| Original language | English |
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| Publisher | Technical University of Denmark |
| Number of pages | 53 |
| Publication status | Published - 1973 |