Abstract: the method of multidimensional data approximation on chaotic grids [1], is considered. The arrival times of P and S waves fixed by seismic stations are considered to be the most reliable kinematic data on earthquakes occurring at great depths. The earthquake hodographs constructed by the method of multidimensional ap-proximation make it possible to calculate the velocities Vp of longitudinal and Vs of shear waves under the as-sumption that they obey the eikonal equation [2, 3]. The Vp/Vs ratio, which can be calculated already at any point in the study area, determines the elastic parameters of the medium, such as Poisson's ratio, as well as Young modulus and Lamé parameters as functions considered in units of the density of the medium. The re-sults of calculations based on real data are presented. The work was partially supported by RFBR according to the research project RFBR-DFG No. 19-51-12008. References 1. Volkov Yu. S., Miroshnichenko V. L. Construction of mathematical model of the hill diagram of the Francis turbine // Sibirskii zhurnal industrial’noi matematiki. 1998. V.1. No. 1. P. 77-88 (in Russian). 2. Kravtsov Yu.A., Orlov Yu.I. Geometrical Optics of Inhomogeneous Media. Moscow: Nauka, 1980 (in Russian). Mathematical geophysics 79 3. Anikonov Yu.E., Bogdanov V.V., Derevtsov E.Yu., Miroshnichenko V.L., Pivovarova N.B., Slavina L.B. Some approaches to a numerical solution for the multidimensional inverse kinematic problem of seismics with inner sources // J. Inv. Ill-Posed Problems. 2009. V. 17, No. 3. P. 209-238.

Cite: Bogdanov V.V. , Volkov Y.S. , Derevtsov E.Y.
On a determination of speed and elastic parameters of a focal zone by the hodographs of earthquakes
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