An inverse problem to determine the location of acting equivalent forces to geodetic data on the surface of the Earth's crust is considered within the framework of the quasistatic model for the elastic isotropic half-space with the sources of point type. It uses the data of monitoring for deformations of areas of the Earth's crust surface. The determination of zones of possible dilatancy in the area of the source influence and search for the relation between such zones and the location and behavior of the anomalies - precursors of various nature - are discussed. Some results of numerical modeling are presented.