莫洛金斯基问题的准格林函数解

本文给出了一种全新的求解似地球表面简单莫洛金斯基问题的方法－准格林函数法。

QUASI-GREEN'S FUNCTION SOLUTION OF MOLODENSKIJ'S PROBLEM

This paper presents a new approach called quasi-Green's function to solve the simple Molodenskij's problem. The obtained Green's function solution is combined with three parts which are Stokes's solution, as a main term, second, gradient correction term and third, the high frequency correction term Of gravity anomaly related with terrain. Compared with tranditional Molodenskij's solution, Brovar solution and the analytical contination, this solution can determine the gradient of gravity anomaly on the telluroid only through filtering the gravity anomaly once with height data, which makes the solution of the boundary value probems(BVPS) referred to the telluroid a step forward practice without considering the convergence.