11th World Congress on Industrial Process Tomography
Matrix method of data processing in 3D seismic tomography
O. M. Lytvyn1, O. O. Lytvyn1*, O. G. Lytvyn2
1 Ukrainian Engineering Pedagogics Academy, National Ministry of Education and Science, Kharkiv, Ukraine
2 Kharkiv National University of Radio Electronics, National Ministry of Education and Science, Kharkiv, Ukraine
*Email: lytvynoo@outlook.com
ABSTRACT
Seismic methods play an important role in mineral exploration. It is proposed to present the analog information obtained with the help of seismic exploration in the form of a spatial matrix-function, with which to conduct further research. It is proposed to include in this spatial matrix a function not only of information on the first arrival times and speed of the seismic signal, but also general information on the arrival times and acceleration with which the particles of the geological medium oscillate during and after the passage of the seismic wave. In contrast to the current scheme for obtaining seismic data, it is proposed to use data on seismic fluctuations of the geological environment not only on the surface, but also at various depths, placing sensors in already existing wells.
A description of the general method of mathematical modeling of the spatial distribution of the acceleration vector according to its traces in the system of wells, the method of mathematical modeling of the distribution of the acceleration vector by means of interlining with the use of splines and global auxiliary functions, the method of mathematical modeling of the spatial distribution of the acceleration vector according to the given traces of the vector in the system of wells and on the surface of the geological environment. Theorems justifying the given mathematical models have been proved.
Keywords: mathematical modeling, matrix model, seismic data processing, seismic tomography.
Industrial Application: mineral exploration: oil, gas, etc.
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