Analysis of nature of estimation of the earth’s surface deformations by geodetic data and the methods to solve this problem has been done in recent geodynamical research. The necessity of improvement of existing methods of data processing has been substantiated. The alternative approach to solving the problem based on the theory of surface reflection and the ways of its implementations are suggested.
Aim. Analysis of the current state of solving the problem the estimating of earth deformation fields based on continuum mechanics, improving traditional methods the estimating of horizontal deformations, definition an alternative approach and justification of ways and the algorithm of solving the problem based on it. Methodology and results. The analysis showed some shortcomings of traditional solving of the problem. In order to minimize their impact the improved method of mathematical and cartographic modeling of linear deformations is proposed.