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Application of a Combined Approach Based on Analytical Approximations and Construction of Gravity Field Integral Curves for the Interpretation of Marine and Airborne Gravimetric Data

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Abstract

The development of a structural-parametric approach to constructing analytical approximations is considered. Within the framework of the new method, which includes modified S-approximations and determination of the integral curves of the vector field, a method is proposed for finding the analytic continuation of the field in the case of profile (route) geophysical measurements. The results of a mathematical experiment using real data on an anomalous gravitational field from data of marine areal gravimetric and airborne gravimetric route surveys 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 when a sufficient volume of areal data is lacking.

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Funding

The study was carried under the State Task of Schmidt Institute of Physics of the Earth of the Russian Academy of Sciences, as well as with the financial support of the Russian Foundation for Basic Research (project no. 19-35-51014).

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Authors and Affiliations

  1. Schmidt Institute of Physics of the Earth, Russian Academy of Sciences, 123242, Moscow, Russia

    I. E. Stepanova, A. M. Salnikov, P. S. Mikhailov, V. V. Pogorelov, A. V. Batov & V. A. Timofeeva

  2. Sirius University of Science and Technology, 354340, Sochi, Russia

    I. E. Stepanova, P. S. Mikhailov, V. V. Pogorelov, A. V. Batov & V. A. Timofeeva

  3. Lomonosov Moscow State University, 119991, Moscow, Russia

    A. V. Shchepetilov

  4. Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, 117997, Moscow, Russia

    A. M. Salnikov & A. V. Batov

  5. Institute of Earthquake Prediction Theory and Mathematical Geophysics, Russian Academy of Sciences, 117997, Moscow, Russia

    V. A. Timofeeva

Authors
  1. I. E. Stepanova
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  2. A. V. Shchepetilov
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  3. A. M. Salnikov
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  4. P. S. Mikhailov
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  5. V. V. Pogorelov
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  6. A. V. Batov
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  7. V. A. Timofeeva
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Correspondence to I. E. Stepanova.

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Stepanova, I.E., Shchepetilov, A.V., Salnikov, A.M. et al. Application of a Combined Approach Based on Analytical Approximations and Construction of Gravity Field Integral Curves for the Interpretation of Marine and Airborne Gravimetric Data. Seism. Instr. 57, 614–624 (2021). https://doi.org/10.3103/S074792392105008X

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  • DOI: https://doi.org/10.3103/S074792392105008X

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