On the determination of sources and internal structure of the Earth’s magnetic field based on analytical continetion by continued frations.

№3 (2020)

Ermokhin K.M., Soldatov V.A.

AbstractAbout the AuthorsReferences
A method is proposed for determining the real sources of the Earth’s internal magnetic field based on the conversion of the coefficients of the stationary earth field according to the IGRF model using the mathematical apparatus for transforming a power series into a continued fraction.

Ermokhin Konstantin Mikhailovich, Doctor of Engineering Sciences, Associate Professor,Leading Scientific al., St. Petersburg branch of the Institute of Terrestrial Magnetism, Ionosphere and Propagation N.V. Pushkova RAS (IZMIRAN). MendeleevLine-3, St. Petersburg, 194354, Russia. E-mail: k_m_e@list.ru.

Soldatov Vadim Alekseevich, scientific team, St. Petersburg branch of the Institute of Terrestrial Magnetism, Ionosphere and Propagation N.V. Pushkova RAS (IZMIRAN). Mendeleev Line-3, St. Petersburg, 194354, Russia. E-mail: k_m_e@list.ru.

1. Great Soviet Encyclopedia. Moscow, 1969-1978.

2. Gvishiani, A.D., Lukianova, R.Y. Geoinformatics and observations of the Earth’s magnetic field: The Russian segment // Izvestiya, Physics of the Solid Earth. 2015. V. 51, Issue 2. P. 157-175. URL: https://doi.org/10.1134/S1069351315020044 (date of access: 12.02.2020).

3. Ermokhin K.M. Analytical continuation of gravimagnetic fields through masses // Dokl. Earth Sciences. 2017. V. 476, Issue 1. P. 1054-1057.

4.Ermokhin K.M. Technology of cut construction by the geophysical fieldsan alytical continuation method // Geoinformatica. 2010. No. 2. P. 51-60.

5. Kuznetsov V.V. Physics of the Earth : textbook-monograph [Electronic resourse]. – Novosibirsk, 2011. URL: http://www.geokniga.org/inboxes/5226 (date of access: 12.02.2020).

6. Ladynin A.V. Dipole sources of the main geomagnetic field // Geology and Geophysics. – 2014. V. 55, No. 4. P. 634-649.

7. Sokolov D. D. Geodynamo and magnetic field generation models (review) // Geomagnetism and Aeronomy. 2004. V. 44, No. 5. P. 579-589.

8. Suetin P.K. Classical orthogonal polynomials. Moscow : Science, 1979. 415 p.

9. Yanovsky B.M. Terrestrial magnetism. Leningrad : Leningrad University, 1978. 591p.

10. Pétrélis F. Simple Mechanism for Reversals of Earth’s Magnetic Field / F. Pétrélis, S. Fauve, E. Dormy and J-P. Valet // Physical Review Letters. 2009. V. 102.

11. Viskovatov B. De la methode generale pour reduire toutes sortes des quantitees en fraction continues // Memoires de l′Academie Imperiale des Sciences de St. Petersburg. 1805. No. 1. P. 226-247.

12.Wieczorek M.A., Meschede M. SHTools: Tools for Working with Spherical Harmonics// Geochemistry, Geophysics, Geosystems. 2018. 19. P. 2574-2592. Doi:10.1029/2018GC007529. 13. International Geomagnetic Reference Field [Electronicresourse] // IAGA Division V-MOD: Geomagnetic Field Modeling. URL:http://www.ngdc.noaa.gov/IAGA/vmod/igrf.html (date of access: 16.02.2020).

Keywords: IGRF model, analytical continuation, continued fractions, spherical analysis, regional anomalies.

Section: Modeling geo objects and geo-processes