基于积分方程正则化的重力异常超定问题解法

Over - determined Model for Computing Gravity Anomaly Based on Regularization Solution of Discrete Integration Eguation

地球重力场的观测信息越来越丰富,求解重力异常的超定模型将具有实用价值。据此给出了基于第一类Fredholm型积分方程离散型解法求解重力异常的超定模型,建立了地面重力、测高数据、重力梯度和垂线偏差求解重力异常的观测方程,并给出求解病态观测方程的正则化算法。

There are more and more types of observations about the earth s gravity field, therefore, the over determined model of computing gravity anomaly has the value to be used in practice. This paper introduces the over determined model to compute gravity anomaly based on the discrete solution of the first kind Fredholm integration equation, establishes the observational equations of computing gravity anomaly with gravity data, satellite altimetry data,gravity tensor and the deflection of the vertical. Because of the observational equation ill - posed, its regularization solution is also discussed in this paper.