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METHOD FOR EVALUATING THE RATIONAL DENSITY OF MULTIDIMENSIONAL FINITE ENERGY GEOPHYSICAL SIGNALS

S. F. Svinyin 1, G. M. Trigubovich 2, A. V. Chernyshev 2, V. F. Svinyin 3

1 Saint Petersburg Institute for Informatics and Automation of the Russian Academy of Sciences, Saint Petersburg, Russia; 2 Aerogeofizichyaeskaya razvedka, Novosibirsk, Russia; 3 Siberian Research Institute of Geology, Geophysics and Mineral Resources, Novosibirsk, Russia

The article is devoted to the theoretical justification of one of the methods for processing geophysical exploration data (using aeromagnetic observations as an example), the results of which allow us to make quantitative estimates of the comparative efficiency of signal reconstruction at different densities of the observation network for a two-dimensional case. Within this approach, in the theory of signal processing (which can be called an energy one in contrast to the more common an amplitude one), a two-dimensional spectrum of the total signal energy on a spatial grid is calculated at various sampling intervals, which makes it possible to choose the optimal variant of network density according to the accuracy/cost criterion. The method will allow this to be done separately for both spatial coordinates. The applicability of the method for various types of electrical exploration is considered presumably on a limited number of models and evidence, and the results provide the basis for further research in this direction.

Keywords: airborne geophysical exploration, data processing theory, spline functions, wavelets, energy approach, observation network, sampling interval.

DOI 10.20403/2078-0575-2019-3-72-79