This paper deals with the computation of surface displacements, tilt and gravity variations at the Earth’s surface produced by ocean tide loading, through two different methods. The first method consists of the convolution between the ocean tide distribution and the corresponding Green’s functions, following the procedure of Farrell (1972). To avoid the Gibbs effect associated to the truncation of the infinite harmonic series, various asymptotic expressions of the load Love numbers are given. Besides, successive
improvements of the Farrell’s method are also revised. The second method is based on the preliminary development of the ocean tides in spherical harmonics. Thereby, expressions for displacements, gravity
and tilt variations in terms of the load Love numbers and the spectral amplitudes of the load are obtained.
This study was funded by the Spanish Project REN2002-00544/RIES. One of the authors (J. Arnoso) is supported by the program I3P of the European Social Fund.
Peer reviewed