Analytical Solution for Well Design with Respect to Discharge Ratio


Georg-August Universität Göttingen, Goldschmidtstr. 3, 37077 Göttingen, Germany;


For a well in the vicinity of a surface water body, a formula is developed that relates the share of bank filtrate on total pumpage, that is, the discharge ratio, on one side, to basic well and aquifer characteristics on the other. The application of the formula is demonstrated for solving the inverse problem: for an aimed discharge ratio, well characteristics (pumping rate, distance to shore) can be determined. Other useful applications of the formula are outlined.