Constraining the parameters of the Andrade rheological model in Earth’s mantle based on the Love numbers of the М2 lunar semidiurnal tide

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For the first time we showed that the often-used approximation of the Andrade rheology with only one parameter is oversimplified and might lead to incorrect conclusions when studying the internal structure of the planets of the Solar System. Instead, we used an Andrade rheology with two empirical parameters: α and ζ. Earth’s viscoelastic Love numbers for the principal lunar semidiurnal tide M2 were computed for two viscosity profiles and for 16100 different combinations of α and ζ values. The comparison of the computed Love numbers with its measured values allowed us to constrain the set of values of both parameters that successfully describe the rheological properties of Earth’s mantle.

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作者简介

D. Amorim

Moscow Institute of Physics and Technology

编辑信件的主要联系方式.
Email: amorim.dargilan@gmail.com
俄罗斯联邦, Dolgoprudny

T. Gudkova

Sсhmidt Institute of Physics of the Earth of the Russian Academy of Sciences

Email: gudkova@ifz.ru
俄罗斯联邦, Moscow

参考

  1. Dumoulin C., Tobie G., Verhoeven O., et al. Tidal constraints on the interior of Venus // Journal of Geophysical Research: Planets. 2017. V. 122(6). P. 1338–1352.
  2. Steinbrugge G., Padovan S., Hussmann H., et al. Viscoelastic tides of Mercury and the determination of its inner core size // Journal of Geophysical Research: Planets. 2018. V. 123(10). P. 2760–2772.
  3. Bagheri A., Khan A., Al-Attar D., et al. Tidal response of mars constrained from laboratory-based viscoelastic dissipation models and geophysical data // Journal of Geophysical Research: Planets. 2019. V. 124(11). P. 2703–2727.
  4. Gudkova T., Zharkov V. Models of the internal structure of the Earth-like Venus // Solar System Research. 2020. V. 54. P. 20–27.
  5. Castillo-Rogez J. C., Efroimsky M., Lainey V. The tidal history of Iapetus: Spin dynamics in the light of a refined dissipation model // Journal of Geophysical Research: Planets. 2011. V. 116 (E9).
  6. Jackson I., Fitz Gerald J. D., Faul U. H., Tan B. H. Grain-size-sensitive seismic wave attenuation in polycrystalline olivine // Journal of Geophysical Research: Solid Earth. 2002. V. 107(B12). P.ECV-5.
  7. Efroimsky M. Tidal dissipation compared to seismic dissipation: In small bodies, earths, and super-earths // The Astrophysical Journal. 2012. V. 746(2). P. 150.
  8. Молоденский С. М. Приливы и нутация Земли. 1. Модели Земли с неупругой мантией и однородным невязким жидким ядром // Астрон. вестник. 2004. Т. 38 (6). С. 542–558.
  9. Молоденский С. М. Сравнение моделей неупругой Земли, построенных по астрономическим и приливным гравиметрическим данным // Физика Земли. 2006. Т. 7. С. 12–16.
  10. Fontaine F. R., Ildefonse B., Bagdassarov N. S. Temperature dependence of shear wave attenuation in partially molten gabbronorite at seismic frequencies // Geophysical Journal International. 2005. V. 163(3). P. 1025–1038.
  11. Kang K., Wahr J., Heflin M., Desai S. Stacking global gps verticals and horizontals to solve for the fortnightly and monthly body tides: Implications for mantle anelasticity // Journal of Geophysical Research: Solid Earth. 2015. V. 120(3). P. 1787–1803.
  12. Ding H., Chen Z., Pan Y., Zou C. The complex love numbers of long-period zonal tides retrieved from global gps displacements: Applications for determining mantle anelasticity // J. Geophys. Res.: Solid earth. 2021. V. 126 (9). P.e2021JB022380.
  13. Nakada M., Okuno J., Yokoyama Y. Total meltwater volume since the last glacial maximum and viscosity structure of earth’s mantle inferred from relative sea level changes at barbados and bonaparte gulf and gia-induced j2 // Geophysical Journal International. 2016. V. 204(2). P. 1237–1253.
  14. Reusen J. M., Root B. C., Szwillus W., Fullea J., van der Wal W. Long wavelength gravity field constraint on the lower mantle viscosity in North America // J. Geophys. Res.: Solid earth. 2020. V. 125 (12). P.e2020JB020484.
  15. Petit G., Luzum B. Iers technical note no. 36, iers conventions (2010). International Earth Rotation and Reference Systems Service: Frankfurt, Germany. 2010.

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2. Fig. 1. The areas in which each of the 6 conditions used in Table 2 is fulfilled separately for the RVR are shown in black.

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3. Fig. 2. The number of satisfied conditions as a function of α and ζ for different viscosity distributions η: RNV model (left), RVV model (right). Black pixels indicate regions and in which all six conditions from Table 2 are satisfied simultaneously.

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4. Fig. 3. Ranges of α and ζ values, at which all 6 conditions from Table 2 are simultaneously fulfilled for RNV and RVV. Their intersection is shown in green. The combinations of Andrade parameters that are most suitable for describing the rheology of the Earth are between the parabolas and .

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