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9In this situation, there is a necessity of signals extraction from external noise and their parameters meas-
urement. Other problem is related to the considered problem - noise source direction determination. In this
work characteristics of seismic and acoustic wave fields, created by technogenic sources, are investigated.
Railway, heavy tracked and wheeled transport as well as CV-40 seismic vibrator [1] are considered as sources.
In this work, the approach based on combining the algorithms of quadrature accumulation [2], polariza-
tion analysis [3], controlled directional reception [4] and directional coefficient determination [5] is considered
for signals extraction and noise source direction determination.
The study of the characteristics of the noise sources under consideration is of interest for the problem of
geoecological monitoring of the social and natural environment and in other problems.
This work was supported by the Russian Foundation for Basic Research (grant 20-07-00861�).
References
1. Kovalevsky V. V., Khairetdinov M.S. Environmental forecasting using seismic vibrators // Problems of Informatics.
2013. No. 3. P. 43-53.
2. Khairetdinov M.S., Rodionov Y.I., Dvoretskaya L.G. Vibroseismic signal processing and microseismic analysis soft-
ware and hardware. Preprint �969, Novosibirsk: Computing Center SB RAS. 1993.
3. Galperin E.I. Polarization method of seismic research. Moscow: Nedra 1997.
4. Kovalevsky V. V., Grigoryuk A.P. Improving the efficiency of directional signal reception during vibroseismic moni-
toring // in Proc. X Int. scientific. congr. Interexpo GEO-Siberia 2014: International scientific conference "Remote sensing
methods of the Earth and photogrammetry, environmental monitoring, geoecology". Novosibirsk: SGGA Publ. 2014. V. 1.
P. 211-214.
5. Khairetdinov M.S., Klimenko S.M. Program system of seismic source automated location and visualization. // Na-
tional Nuclear Center of the Republic of Kazakhstan. No 2 (18). P. 70-76.
Mathematical modeling of wave fields to determine the sensitivity of the vibroseismic monitoring method
V. V. Kovalevsky, D. A. Karavaev, A. P. Grigoryuk
Institute of Computational Mathematics and Mathematical Geophysics SB RAS
Email: kovalevsky@sscc.ru
DOI 10.24412/cl-35065-2021-1-01-06
The paper presents the application of mathematical modeling of wave fields in the problem of studying
the sensitivity of the method of active vibroseismic monitoring to small changes in velocity parameters in the
inner areas of the Earth's crust. The change in the parameters of the wave field recorded on the surface is de-
termined depending on the size of the areas of changes, its location relative to the source and receivers, and
the wavelength of the probing signal. Analytical estimates are obtained for variations in vibroseismic vibrations
recorded on the surface for spherical inhomogeneity in a homogeneous model of the Earth's crust in contact
with the upper mantle, as well as variations in the total wave field for a realistic model of the Earth's crust and
inhomogeneous inclusion based on the application of the finite difference method to solve the problem of dy-
namic theory of elasticity. The results of mathematical modeling are compared with experimental data of ac-
tive vibroseismic monitoring of the Baikal rift zone.
References
1. Kovalevsky V., Glinsky B., Khairetdinov M., Fatyanov A., Karavaev D., Braginskaya L., Grigoryuk A. and Tubanov T.
Active vibromonitoring: experimental systems and fieldwork result. Active Geophysical Monitoring. Second Edition,
Elsevier, 2020, p. 43-65.
2. Kovalevsky V.V., Fatyanov A.G., Karavaev D.A., Braginskaya L.P., Grigoryuk A.P., Mordvinova V.V., Tubanov Ts.A.,
Bazarov A.D. Research and verification of the Earth�s crust velocity models by mathematical simulation and active
seismology methods. Geodynamics & Tectonophysics. 2019;10(3):569-583. (In Russ.).
3. Grigoryuk A.P., Kovalevsky V.V., Braginskaya L.P. Investigation of the polarization of seismic waves during vibro-
seismic monitoring // Interexpo Geo-Siberia, 2018. V. 4. No. 2. P. 10-16 (in Russ.).
Mathematical modeling of electromagnetic fields of main pipelines cathodic protection systems
in electrically layered and anisotropic soils
V. N. Krizsky1, S. V. Viktorov2, O. V. Kosarev1, Ya. A. Luntovskaya1
1Saint-Petersburg Mining University
2Bashkir State University, Ufa
Email: Krizsky@rambler.ru
DOI 10.24412/cl-35065-2021-1-01-07
The geometric and physical properties of the containing pipeline soil play a significant role in the distribu-
tion of electric and magnetic fields generated in the cathodic anticorrosive electrochemical protection sys-
tems.
The paper considers mathematical models that are more adequate to practice (in comparison with those
currently in force in accordance with GOST), taking into account the layering [1] and anisotropy [2, 3] of the
specific electrical conductivity of the medium. The problems are solved by the method of fictitious sources.
The results of confirming comparative computational experiments are presented.
References
1. Krizsky V. N., Aleksandrov P. N., Kovalskii A. A., Victorov S. V. Modeling of Electromagnetic Fields of Pipelines
Cathodic Protection Systems in Horizontally-Layered Media // Science & Technologies: Oil and Oil Products Pipeline
Transportation. 2019. V. 9, N 5. P. 558�567. DOI: 10.28999/2541-9595-2019-9-5-558-567.
2. Krizsky V. N., Aleksandrov P. N., Kovalskii A. A., Victorov S. V. Mathematical Modeling of Electric Fields of Pipelines
Cathodic Protection Systems in Anisotropic Media // Science & Technologies: Oil and Oil Products Pipeline Transportation.
2020. V. 10, N. 1. P. 52-63. DOI: 10.28999/2541-9595-2020-10-1-52-63.
3. Krizsky V. N., Aleksandrov P. N., Kovalskii A. A., Victorov S. V. Mathematical Modelling of Electric and Magnetic
Fields of Main Pipelines Cathodic Protection in Electrically Anisotropic Media // E3S Web of Conferences. II International
Conference �Corrosion in the Oil & Gas Industry 2020�, 2021. V. 225. [Electron. resource]. URL: https://www.e3s-
conferences.org/articles/e3sconf/abs/2021/01/e3sconf_corrosion2020_04002/ e3sconf_corrosion2020_04002.html (the
date of access: 01.03.2021) DOI: 10.1051/e3sconf/202122504002.
Signals of electromagnetic tool with toroidal coils in highly deviated wells
I. V. Mikhaylov1, V. N. Glinskikh1, M. N. Nikitenko1, I. V. Surodina2
1Trofimuk Institute of Petroleum Geology and Geophysics SB RAS
2Institute of Computational Mathematics and Mathematical Geophysics SB RAS
Email: MikhaylovIV@ipgg.sbras.ru
DOI 10.24412/cl-35065-2021-1-01-08
This study propels the research direction related to the electromagnetic logging tool with toroidal coils [1].
Its main goal is to expand the tool�s applicability from vertical well sections to those of highly deviated wells,
based on 3D finite-difference simulation [2] and multi-aspect analysis of the signals. The latter were obtained
in geoelectric models of oil-, gas- and water-saturated reservoirs with a different number of horizontal bound-
aries, varying reservoir thicknesses, including the case of fine layering.
