тензор швидкості деформації

Doppler Orbitography and Radio-positioning Integrated by Satellite (CORS) observations from 37 Global Navigation Satellite System (GNSS) stations located in the Western Ukraine area were processed using Bernese Processing Engine module (BPE) of Bernese GNSS Software version 5.2 for a time span of about 2.5 years. To get a better agreement for constrains, the IGS stations closest to the surrounding area of study were chosen with fixed coordinates of ITRF2008 at epoch 2005.0.

Estimated from GPS observations velocities of GPS-stations were used to obtain 2D-model velocities and strain rate field in the Eastern Europe. The study of the velocities field in the region was done in a few steps. The first one consists of the development of the finite element approach on the geosphere based on bicubic spline functions and least squares collocation method for the interpolation scattered GPS-data to the regular nodes. The second one represents the inversion of velocities from GPS-observations to the strain rate tensor.

Coordinates and velocities of GPS-points in the South-East Europe were used to derive the 2D model of velocities and horizontal strain rate fields of the region (the territory of Ukraine, Bulgaria, Romania, Greece, Turkey and Iran). The first step of studies consists of the development of the finite element approach based on the bicubic spline functions for the building of the regular grid data via scattered geodetic network. The second one represents the inversion of velocities from GPS observations data to the strain rate tensor.