On the influence of large-scale mantle irregularities on the daily Liava numbers

Authors

  • M. V. Lubkov Poltava gravimetric observatory of the Institute of Geophysics of NAS of Ukraine, Ukraine

DOI:

https://doi.org/10.24028/gzh.0203-3100.v33i2.2011.117311

Abstract

On the base of original combined method, allowing to superpose analytical advantages of the Sasao, Okubo, Saito approach with computer possibilities of the finite element method it was carried out evaluation of influence of sub horizontal large-scale mantle heterogeneities about some thousands km long on the Love and Shida numbers of the second order for diurnal tides. It was shown that pre-sence of such mantle heterogeneities non linearly influences on the earth tidal parameters. And this influence on the diurnal Love and Shida numbers of the second order can reach a few percentages.

References

Артюшков Е. В. Геодинамика. - Москва: Наука, 1979. - 216 с.

Короновский Н. В. Сейсмическая томография // Соровский общеобразоват. журн. - 2000. - 6, № 11. - С. 63-68.

Лубков М. В. Комбинированный метод определения параметров вращения Земли // Кинемат. физика небес. тел. - 2005. - 21, № 5. - С. 389-395.

Лубков М. В. О влиянии радиальной анизотропии мантии на суточные числа Лява // Геофиз. журн. - 2007. - 29, № 5. - С. 179-184.

Лубков М. В. Определение статических чисел Лява и Шида методом конечных элементов // Геофиз. журн. - 2004. - 26, № 6. - С. 147-150.

Мориц Г. Фигура Земли: теоретическая геодезия и внутреннее строение Земли. - Киев: Wickmann, 1994. - 239 с.

Мориц Г., Мюллер А. Вращение Земли: теория и наблюдения. - Киев: Наук. думка, 1992. - 512 с.

Образцов И. Ф., Савельев Л. М., Хазанов Х. С. Метод конечных элементов в задачах строительной механики летательных аппаратов. - Москва: Высш. шк., 1985. - 329 с.

Anderson D. L. Plate tectonics as a far-from-equilibrium self-organized system // AGU Monograph: Plate Boundary Zones, Geodynamic Ser. - 2002. - 30. - P. 411-425.

Bunge H. P., Richards M. A. The origin of large scale structure in mantle convection: effects of plate motions and viscosity structure // Geophys. Res. Lett. - 1996. - 23, № 21. - P. 2987-2990.

Dziewonski A. M. Mapping the lower mantle: determination of lateral heterogeneity in P velocity up to degree and order 6 // J. Geophys. Res. - 1984. - 89. - P. 5929-5952.

Dziewonski A. M., Anderson D. L. Preliminary reference earth mode // Phys. Earth Planet Int. - 1981. - 25. - P. 297-356.

Dziewonski A. M., Liu X. F., Su W. J. Lateral heterogeneity in the lowermost // Earth’s Deep Interior / Ed. D. J. Crossley. - NewYork: Gordon and Breach, 1997. - P. 11-50.

Goslin J., Thirot J. L., Noel O., Francheteau J. Slow-ridge / hotspot interactions from global gravity, seismic tomography and 87Sr / 86Sr isotope data // Geophys. J. Int. - 1998. - 135. - P. 700-717.

Helffrich G. R., Wood B. J. The Earth’s mantle // Nature. - 2001. - 412. - P. 501-507.

Mathews P. M., Buffet B. A., Shapiro I. I. Love numbers for diurnal tides: Relation to wobble admittances and resonance expansions // J. Geophys. Res. - 1995. - 100, № B7. - P. 9935-9948.

Sasao T., Okubo S., Saito M. A simple theory on the dynamical effects of stratified fluid core upon nutational motion of the Earth // Proc. IAU Symp. 78 / Eds. E. P. Fedorov, M. L. Smith, P. L. Bender. - Dordrecht: Reidel, 1980. - P. 165-183.

Sleep N. H. Hotspots and mantle plumes: some phenomenology // J. Geophys. Res. - 1990. - 95, № 5. - P. 6715-6736.

Van der Hilst R. D., Widiyantoro S., Engdahl E. R. Evidence for deep mantle circulation from global tomography // Nature. - 1997. - 386. - P. 578-584.

Wu P. Using commercial finite element packages for the study of earth deformations, sea levels and the state of stress // Geophys. J. Int. - 2004. - 158, № 2. - P. 401-408.

Published

2011-04-01

How to Cite

Lubkov, M. V. (2011). On the influence of large-scale mantle irregularities on the daily Liava numbers. Geofizicheskiy Zhurnal, 33(2), 129–134. https://doi.org/10.24028/gzh.0203-3100.v33i2.2011.117311

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Articles