Quantification of Geographical Variations of Solid Earth Tidal Effects for Geodetic Deformation Monitoring in Ghana

Yakubu Issaka, B. Kumi-Boateng

Abstract


Tidal forces arise from the gravitational attraction of external bodies changing over the volume of a body. The solid earth tides cause deformation of the Earth shape due to the tidal forces from the Moon and Sun. This causes displacement in the positions of higher engineering structures that can result in loss of lives, loss of property, and economic cost to the nation. The Earths response to the tide generating potential can be determined analytically by the driving forces, with the knowledge of the orbital motion of the Earth and the Moon, the Sun and other external objects, combined with the Love numbers which are partially related to the rheological properties of the Earth. By using Naviers equations of motion, the tidal deformation of the Solid Earth can be quantified numerically. In this paper, the tidal effect on the earth crust is quantified for five (5) Regions of Ghana using the theory of Love. The results reveal that an average tidal deformation value for all the points were within the range of 0.00181 m to 0.00270 m. The average deformation values is an indicative that tidal deformation of the earth crust should be considered in daily deformation monitoring of the earth crust and all relevant engineering structures.


Keywords


Deformation, Love Parameterization, Navier Equation of motion, Tidal Potential

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