Tides for a convective Earth

TLDR

The paper provides tidal gravimetric factor values and Love numbers for surface displacement and mass redistribution potential that align with current definitions. The authors derive analytical expressions and compute numerical values for these quantities using two rotating, nonspherical Earth models—one hydrostatic with elastic core and mantle, and a second ellipsoidal model incorporating inelastic mantle, nonhydrostatic initial state, mantle convection, and boundary deformations, calibrated to match observed free core nutation and Earth flattening.

Abstract

In this paper we give values of the tidal gravimetric factor as well as of the Love numbers for the tidal surface displacement and for the tidal mass redistribution potential that are consistent with the presently adopted definitions. We present analytical expressions for these quantities and compute numerical values for two rotating, nonspherical Earth models. In the first model the Earth is everywhere in hydrostatic equilibrium, and the inner core and mantle are both elastic. In the second model the Earth is ellipsoidal with an inelastic mantle and with a nonhydrostatic initial state for which the effects of mantle convection and its associated boundary deformations are considered. This latter model is constrained to reproduce the observed free core nutation period and global Earth dynamical flattening.