Approximation of Local Quasi-Geoid Using Point Mass Method Based on Bjerhammar Theory

摘要

Based on the solution for the Bjerhammar Boundary Value Problem (BVP) in physical geodesy, an approximation method of local quasi-geoid using point masses was proposed in the paper, and a multi-layer point mass model of the local quasi-geoid was constructed for some area within China. In the development of the method, the relation between ground gravity anomalies and disturbing potential was derived, which results in the point mass model of the disturbing potential, and then the formula for the derivation of height anomaly was obtained. Through analysis of the requirements on ground gravity anomaly, a multi-layer point mass model for the calculation of height anomaly was constructed. In the numerical test of the method, the Remove-Compute-Restore (RCR) method was also employed for comparisons of approximation results. Analyses of the results show that the proposed method can also be applied in the estimation of local quasi-geoid.