"Mathematical modeling of the two-dimensional process of changing groundwater levels under gravity by the method of discrete singularities"
Nikol'skii D.N., Dorofeeva V.I.

A new mathematical model for the two-dimensional process of groundwater hill subsidence is proposed. The model is tested with the use of known solutions to the plane problems. An example of groundwater subsidence in a layer whose permeability varies according to a power law is discussed.

Keywords: free-surface evolution, method of integral equations, method of discrete singularities

Nikol'skii D.N.   e-mail: nikolskydn@mail.ru;   Dorofeeva V.I.   e-mail: vdorofey@mail.ru