EXPLICIT SOLUTIONS FOR SEEPAGE INFILTRATING INTO A POROUS EARTH DAM DUE TO PRECIPITATION

Steady two-dimensional gravity-driven seepage in homogeneous porous lu mps is studied with the help of conformal mappings and boundary value problem technique. The Terzaghi flow pattern for a trapezoidal dam exp osed to a heavy rainstorm is analysed. For a semi-circular massif, the influence of impervious bed inclination is studied. Recharge-discharg e distributions, hinge points, gradients along the lump contour as wel l as the total flow rate exhibiting water-bearing capacity of the unit are found in explicit form. Generalizations for non-isobaric boundary conditions are discussed.