Determining the coordinates of the earthquake hypocenter with the simultaneous determination of seismic wave velocities
https://doi.org/10.21822/2073-6185-2022-49-1-79-86
Abstract
Objective. The purpose of the study is to determine the coordinates of the earthquake hypocenter with the simultaneous determination of the seismic wave velocity.
Method. The study is based on the use of figures of the fourth and second order - the Cassini oval and hyperbola, figures of the second order - ellipse and hyperbola and combined methods that allow, at given seismic wave velocities, according to three seismic sensors, to determine the coordinates of the earthquake hypocenter. In this case, the velocities are assumed to be known a priori. According to the readings of the fourth seismic sensor, and for given seismic wave velocities, the distance from the fourth seismic sensor to the hypocenter is determined. Again, according to the coordinates of the fourth seismic sensor and the hypocenter coordinates calculated from the three seismic sensors, the distance between them is calculated. If the seismic wave velocities do not correspond to the true ones, a discrepancy will appear between the two calculated values of the distances from the hypocenter to the fourth seismic sensor. By varying the velocities of seismic waves when calculating the coordinates of the hypocenter, we achieve a minimum discrepancy.
Result. The problem of determining the coordinates of the earthquake hypocenter with the simultaneous determination of seismic wave velocities is solved. The error distribution densities in determining the coordinates of the earthquake hypocenter and seismic wave velocities are obtained.
Conclusion. The proposed method makes it possible to increase the accuracy of determining the coordinates of the earthquake source, as well as to refine the values of seismic wave velocities.
About the Authors
Yu. A. Sidorkina
N.E. Bauman Moscow State Technical University (National research University)
Russian Federation
Russian Federation
Yulia A. Sidorkina, Dr. Sci. (Eng.), Assoc. Prof., Department Autonomous Information and Control Systems
5/1 Second Baumanskaya Str., Moscow 105005
T. G. Aslanov
Daghestan State Technical University
Russian Federation
Russian Federation
Tagirbek G.Aslanov, Cand. Sci. (Eng.), Doctoral Cand., Assoc. Prof., Department of Management and Informatics in Technical Systems and Computer Engineering
70 I. Shamilya Ave., Makhachkala 367026
References
1. Shakhtarin B.I., Aslanov T.G., Tetakaev U.R. Determining the coordinates of the earthquake source using figures of the fourth and second order - the Cassini oval and hyperbola. [Vestnik Dagestanskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Tekhnicheskiye nauki] Herald of the Daghestan State Technical University. Technical Science. 2019;46(4):134-142. https://doi.org/10.21822/2073-6185-2019-46-4-134-142 (In Russ)
2. Aslanov T.G. Determining the coordinates of the earthquake source using the combined method. [Vestnik Dagestanskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Tekhnicheskiye nauki] Herald of the Daghestan State Technical University. Technical Science. 2017;44(2):118-125. https://doi.org/10.21822/2073-6185-2017-44-2-118-125 (In Russ)
3. Aslanov T.G., Shakhtarin B.I., Aslanov G.K. Determining the coordinates of the earthquake source using figures of the second order - an ellipse and a hyperbola. Automation. Modern technologies. 2018; 11(72): 503-509 (In Russ)
4. Shakhrimanyan M.L., Nigmetov G.M., Sosunov I.V. Mathematical modeling as a way to support decision-making in case of emergencies. Catalog "Fire Safety" 2003; 240-241. (In Russ)
5. Aslanov T.G., Seferov A.K., Sadyki M.R. Errors in determining the coordinates of the earthquake source when using the method of spheres / Svid. about Mrs. reg. prog. Computer No. 2017617047 Ros. Federation / applicant and copyright holder VGUYu (RPA of the Ministry of Justice of Russia). No. 2017611223; dec. 02/13/17; publ. 06/21/17. (In Russ)
6. Aslanov T.G. Tagirov Kh.Yu. Determining the coordinates of the earthquake focus with the simultaneous determination of seismic wave velocities / Proceedings of the International Youth Scientific Forum "LOMONOSOV-2015" / Ed. ed. A.I. Andreev, A.V. Andriyanov, E.A. Antipov. [Electronic resource] - M.: MAKS Press, 2015. - 1 electron. opt. disc (DVD-ROM). ISBN 978-5-317-04946-1 (In Russ)
7. Aslanov G.K., Aslanov T.G., Kudaev D.A. Determination of seismic wave velocities by the occurred earthquake / XXXVI final scientific and technical conference of DSTU: abstracts. Makhachkala, RIO DSTU, 2005; 72-73 (In Russ)
8. Daniyalov M.G., Magomedov Kh.D., Aslanov G.K., Aslanov T.G. On one method for determining the source of an earthquake with the simultaneous determination of seismic wave velocities / Proceedings of the Institute of Geology of the Dagestan Scientific Center of the Russian Academy of Sciences, Materials. Publishing house DSC RAS. Makhachkala 2010; 54-59. (In Russ)
9. D'Amico S. (ed.) Earthquake Research and Analysis - Statistical Studies, Observations and Planning In Tech. Janeza Trdine, 2012; 460.
10. Robert Garotta. Transverse waves: from registration to interpretation. A short course of lectures for higher educational institutions, 2000; 3.
11. Schuster G.T. Basics of Seismic Wave Theory.University of Utah, 2007; 154.
12. Kasahara K. Earthquake mechanics. Cambridge University Press. 1981; 272.
13. Kennett B. Seismic Wave Propagation in Stratified Media. Australian National University Press, 2009; 298p.
14. Yanovskaya T.B. Fundamentals of seismology: textbook. - St. Petersburg, 2008; 222. (In Russ)
15. Arkhangelsky V.T., Vedenskaya I.A., Gaisky V.N. Manufacturing and Processing Guide. Publication of the Academy of Sciences of the USSR. Moscow, 1954 (In Russ)
16. Bystritskaya Yu.V. Correlation and comparison of macroseismic and instrumental data (Dagestan earthquakes). In the collection “Seismicity and hydrogeogas chemistry of the territory of Daghestan. Issue. 2 (17) Makhachkala 1978. (In Russ)
17. Aslanov T.G., Musaeva U.A. Analysis of the error distribution density in determining the coordinates of the earthquake source using the methods of spheres and ellipsoids. [Vestnik Dagestanskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Tekhnicheskiye nauki] Herald of the Daghestan State Technical University. Technical Science. 2019;46(2):61-70. https://doi.org/10.21822/2073-6185-2019-46-2-61-70 (In Russ)
18. Aslanov G.K., Aslanov T.G., Kurbanmagomedov K.D., Shakhtarin B.I. Investigation of the dependence of errors in determining the coordinates of the earthquake focus on calculation methods (spheres and hyperboloids). [Vestnik Dagestanskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Tekhnicheskiye nauki] Herald of the Daghestan State Technical University. Technical Science. 2017; 44(4):87-98. https://doi.org/10.21822/2073-6185-2017-44-4-87-98 (In Russ)
19. T. G. Aslanov, Kh. D. Magomedov, U. A. Musaeva, and Kh. Yu. Influence of the spatial arrangement of seismic sensors on the accuracy of determining the earthquake hypocenter. [Vestnik Dagestanskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Tekhnicheskiye nauki] Herald of the Daghestan State Technical University. Technical Science. No. 4 (43), 2016 - Makhachkala: DSTU, 2016; 73-84 (In Russ)
20. Aslanov T.G., Tagirov Kh.Yu. Influence of the spatial arrangement of seismic sensors on the accuracy of determining the earthquake hypocenter using various (combined) methods / Materials of the International Youth Scientific Forum "LOMON-OSOV-2017" / Ed. ed. I.A. Aleshkovsky, A.V. Andriya-nov, E.A. Antipov. [Electronic resource] M .: MAKS Press, 2017 - 1 electron. opt. disc (DVD-ROM). ISBN 978-5-317-05504-2(In Russ)
21. Aslanov G.K., Aslanov T.G. Tagirov Kh.Yu. Study of the dependence of the location of seismic sensors on the accuracy of determining the earthquake hypocenter on various methods for calculating coordinates / Week of Science - 2017: materials of the XXXVIII final scientific and technical conference of the DSTU, April 17-22, 2017, Makhachkala / Ed. d.t.s., prof. T.A. Ismailov. - Makhachkala, DSTU, 2017; 45-47. (In Russ)
22. Aslanov T.G., Tagirov Kh.Yu. On some issues of choosing seismic sensors in order to reduce errors in determining the hypocenter of an earthquake using various methods. Proceedings of the scientific-practical conference. Center for Seismic Data Analysis of Moscow State University named after M.V. Lomonosov". 2017; 256-259. (In Russ)
23. Aslanov T.G., Musaeva U.A. Analysis of the error distribution density in determining the coordinates of the earthquake source using the methods of spheres and ellipsoids. [Vestnik Dagestanskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Tekhnicheskiye nauki] Herald of the Daghestan State Technical University. Technical Science. 2019; 46(2): 61-70. https://doi.org/10.21822/2073-6185-2019-46-2-61-70 (In Russ)
Review
For citations:
Sidorkina Yu.A., Aslanov T.G. Determining the coordinates of the earthquake hypocenter with the simultaneous determination of seismic wave velocities. Herald of Dagestan State Technical University. Technical Sciences. 2022;49(1):79-86. (In Russ.) https://doi.org/10.21822/2073-6185-2022-49-1-79-86
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