Derivation of instantaneous frequencies of tectonic plates from gravimetric data

Yulia Yu. Ershova; Alexander V. Kiselev; Luis O. Silva

doi:10.1016/j.cam.2023.115600

Derivation of instantaneous frequencies of tectonic plates from gravimetric data

Yulia Yu. Ershova, Alexander V. Kiselev, Luis O. Silva

Department of Mathematical Sciences

Texas A&M University

Research output: Contribution to journal › Article › peer-review

Abstract

We present a mathematically rigorous procedure for obtaining spectrograms of tectonic plate eigenmodes at extremely low frequencies, corresponding to oscillation periods of 15 min to 8 h. The data is sourced from superconducting gravimeters of International Geodynamics and Earth Tide Service (IGETS) network. The motivation for this research stems from the proposal by Pavlov et.al. to use this spectral data in monitoring of the state of active zones located along plate boundaries.

Original language	English
Article number	115600
Number of pages	18
Journal	Journal of Computational and Applied Mathematics
Volume	439
Early online date	29 Sept 2023
DOIs	https://doi.org/10.1016/j.cam.2023.115600
Publication status	Published - 15 Mar 2024

Bibliographical note

Funding Information:
YYE and AVK are grateful to the research team at IIMAS-UNAM for their kind hospitality during their stay in Mexico from March to October 2022. The work of all the authors was supported by CONACyT CF-2019 No. 304005. The work of AVK was further supported by the EPSRC, United Kingdom Grant EP/V013025/1. The authors are grateful to Dr Derek van Westrum (NOAA-NGS-DSRC) and to Prof K. Cherednichenko (Bath, UK) for valuable discussions on superconducting gravimetry. LOS also acknowledges fruitful discussions with Alfredo Esparza (CENAM-Mexico). All numerical computations were done using Wolfram Mathematica 12, under licenses issued to IIMAS-UNAM and the University of Bath. The authors would further like to thank their referees for providing a number of extremely valuable comments which have helped increase the quality of the paper.

Funding Information:
The work of all the authors was supported by CONACyT CF-2019 No. 304005 . The work of AVK was further supported by the EPSRC, United Kingdom Grant EP/V013025/1 . The authors are grateful to Dr Derek van Westrum (NOAA-NGS-DSRC) and to Prof K. Cherednichenko (Bath, UK) for valuable discussions on superconducting gravimetry. LOS also acknowledges fruitful discussions with Alfredo Esparza (CENAM-Mexico). All numerical computations were done using Wolfram Mathematica 12, under licenses issued to IIMAS-UNAM and the University of Bath.

Keywords

Empirical mode decomposition
Seismogravitational oscillations
Short time Fourier transform
Tectonic plates

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/j.cam.2023.115600Licence: CC BY

https://linkinghub.elsevier.com/retrieve/pii/S0377042723005447

Cite this

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title = "Derivation of instantaneous frequencies of tectonic plates from gravimetric data",

abstract = "We present a mathematically rigorous procedure for obtaining spectrograms of tectonic plate eigenmodes at extremely low frequencies, corresponding to oscillation periods of 15 min to 8 h. The data is sourced from superconducting gravimeters of International Geodynamics and Earth Tide Service (IGETS) network. The motivation for this research stems from the proposal by Pavlov et.al. to use this spectral data in monitoring of the state of active zones located along plate boundaries.",

keywords = "Empirical mode decomposition, Seismogravitational oscillations, Short time Fourier transform, Tectonic plates",

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note = "Funding Information: YYE and AVK are grateful to the research team at IIMAS-UNAM for their kind hospitality during their stay in Mexico from March to October 2022. The work of all the authors was supported by CONACyT CF-2019 No. 304005. The work of AVK was further supported by the EPSRC, United Kingdom Grant EP/V013025/1. The authors are grateful to Dr Derek van Westrum (NOAA-NGS-DSRC) and to Prof K. Cherednichenko (Bath, UK) for valuable discussions on superconducting gravimetry. LOS also acknowledges fruitful discussions with Alfredo Esparza (CENAM-Mexico). All numerical computations were done using Wolfram Mathematica 12, under licenses issued to IIMAS-UNAM and the University of Bath. The authors would further like to thank their referees for providing a number of extremely valuable comments which have helped increase the quality of the paper. Funding Information: The work of all the authors was supported by CONACyT CF-2019 No. 304005 . The work of AVK was further supported by the EPSRC, United Kingdom Grant EP/V013025/1 . The authors are grateful to Dr Derek van Westrum (NOAA-NGS-DSRC) and to Prof K. Cherednichenko (Bath, UK) for valuable discussions on superconducting gravimetry. LOS also acknowledges fruitful discussions with Alfredo Esparza (CENAM-Mexico). All numerical computations were done using Wolfram Mathematica 12, under licenses issued to IIMAS-UNAM and the University of Bath. ",

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Derivation of instantaneous frequencies of tectonic plates from gravimetric data

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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