(Journal, Hydrol. Hydromech., Vol. 52, 2004, No. 1, pp. 314).
The paper presents the basic assumptions and relations for underlying the solution of ground water flow using an integral equations method. The basic laws of physics used for this solution are briefly introduced. The mathematical model describes the flow in a saturated domain both for the spatial and the plane problems. The principal parts of the numeric solution of the problem are treated in more detail. To provide an example of an application, a simple model of a dike is presented. For a homogeneous, isotropic dike the solution describes the development of the flow with time and the corresponding changes to the free surface of ground water. The resulting steady-state flow through the dike is compared with the published results (Polubarina-Kocina, 1952). Another example describes the flow through non homogeneous, isotropic dike if a variable hydraulic conductivity depends on the geometric height. Singularities distributed within the domain are used for an iterative solution of the nonlinear partial differential equation describing the grond water flow.
Ground water flow, Numerical model, Integral equations
