METADATA IN ENGLISH


About the journal


NAUKA I TEKHNOLOGICHESKIE RAZRABOTKI (SCIENCE AND TECHNOLOGICAL DEVELOPMENTS), ISSN: 2079-5165, eISSN: 2410-7948, DOI: 10.21455/std; https://elibrary.ru/title_about.asp?id=32295; http://std.ifz.ru/. The journal was founded in 1992.


APPLICATION OF A COMBINED APPROACH BASED
ON ANALYTICAL APPROXIMATIONS AND CONSTRUCTION
OF GRAVITY FIELD INTEGRAL CURVES
FOR THE INTERPRETATION OF MARINE
AND AIRBORNE GRAVITY DATA


I.E. Stepanova1,2, A.V. Shchepetilov3, A.M. Salnikov1,4, P.S. Mikhailov1,2, V.V. Pogorelov1,2, A.V. Batov1,2,4, V.A. Timofeeva1,2,5


1 Schmidt Institute of Physics of the Earth of the Russian Academy of Sciences, Moscow, Russia

2 Sirius University of Science and Technology, Sochi, Russia

3 Lomonosov Moscow State University, Moscow, Russia

4 V.A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, Moscow, Russia

5 Institute of Earthquake Prediction Theory and Mathematical Geophysics, Russian Academy of Sciences,
Moscow, Russia

Corresponding author: I.E. Stepanova, e-mail: tet@ifz.ru


Highlights

– Developed a structural-parametric approach to constructing analytical approximations

– Proposed a method of finding the integral curves of the vector field using the modified S-approximations

– The method of finding analytic continuations potential field according to the profile (route) geophysical measurements

– Integral curves are constructed for examples of areal and route gravimetric survey


Abstract. The development of a structural-parametric approach to the construction of analytical approximations is considered. Within the framework of the new method, which includes modified S-approximations and finding the integral curves of the vector field, a method is proposed for finding the analytical continuation of the field in the case of profile (route) geophysical measurements. The results of a mathematical experiment using real data on the anomalous gravitational field from the data of marine areal gravimetric survey and airborne gravimetric route survey are presented. It is shown that the proposed analysis algorithm is promising for finding analytic continuations of geopotential fields within a certain neighborhood of the measurement profile in the absence of a sufficient volume of areal data.


Keywords: integral curves, approximation, structural-parametric approach, gravitational field of the Earth, relief, digital model, SLAE, vector field


Cite this article as: Stepanova I.E., Shchepetilov A.V., Salnikov A.M., Mikhailov P.S., Pogorelov V.V., Batov A.V., Timofeeva V.A. Application of a combined approach based on analytical approximations and construction of gravity field integral curves for the interpretation of marine and airborne gravity data, Nauka i Tekhnologicheskie razrabotki (Science and Technological Developments). 2020, vol. 99, no. 4, pp. 34–52. [in Russian]. https://doi.org/10.21455/std2020.4-2

Funding


This study was performed under State Task of Schmidt Institute of Physics of the Earth RAS and supported by the Russian Foundation for Basic Research, project no. 19-35-51014.


Ethics declarations


The authors declare that there is no conflict of interest.


English translation of the article will be published in Seismic Instruments, ISSN: 0747-9239 (Print) 1934-7871 (Online), https://link.springer.com/journal/11990)


References


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About the authors


STEPANOVA Inna Eduardovna – Schmidt Institute of Physics of the Earth RAS. Russia, 123242, Moscow, Bolshaya Gruzinskaya str. 10, bld. 1; Sirius University of Science and Technology. Russia, 354340, Sochi, Olympic Av. 1. E-mail: tet@ifz.ru


SHCHEPETILOV Alexey Valerievich – Lomonosov Moscow State University, Department of Physics. Russia, 119991, Moscow, Leninskie Gory 1, str. 2, Moscow State University. E-mail: avshchepetilov@mail.ru


SALNIKOV Anton Mikhailovich – Schmidt Institute of Physics of the Earth RAS. Russia, 123242, Moscow, Bolshaya Gruzinskaya str. 10, bld. 1; V.A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences. Russia, 117997, Moscow, Profsoyuznaya str. 65. E-mail:
amsalnikov@hotmail.com


MIKHAILOV Pavel Sergeevich – Schmidt Institute of Physics of the Earth RAS. Russia, 123242, Moscow, Bolshaya Gruzinskaya str. 10, bld. 1; Sirius University of Science and Technology. Russia, 354340, Sochi, Olympic Av. 1. E-mail: paulmikh@mail.ru


POGORELOV Vitaly Viktorovich – Schmidt Institute of Physics of the Earth RAS. Russia, 123242, Moscow, Bolshaya Gruzinskaya str. 10, bld. 1; Sirius University of Science and Technology. Russia, 354340, Sochi, Olympic Av. 1. E-mail: vvp@ifz.ru


BATOV Alexey Vladimirovich – Schmidt Institute of Physics of the Earth RAS. Russia, 123242, Moscow, Bolshaya Gruzinskaya str. 10, bld. 1; Sirius University of Science and Technology. Russia, 354340, Sochi, Olympic Av. 1; V.A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences. Russia, 117997, Moscow, Profsoyuznaya str. 65. E-mail: batovalex@yandex.ru


TIMOFEEVA Vera Anatolievna – Schmidt Institute of Physics of the Earth RAS. Russia, 123242, Moscow, Bolshaya Gruzinskaya str. 10, bld. 1; Sirius University of Science and Technology. Russia, 354340, Sochi, Olympic Av. 1; Institute of Earthquake Prediction Theory and Mathematical Geophysics, Russian Academy of Sciences. Russia, 117997, Moscow, Profsoyuznaya str. 84/32. E-mail: v.a.timofeeva@iperas.ru