地球物理线性反演评价准则及分辨力问题的研究

A Study of Estimating Criterion and Resolution of Geophysical Linear Inversion

首先归纳和总结了地球物理反向问题的各种准则，然后推导出相应的数据和模型参数的分辨力矩阵，从理论上指出了选择评价准则的一般性原则．认为，加阻尼因子ε的折衰评价准则在观测数据精度不是很高，且结构按矩阵ＧＧＴ条件不很强的情况下，其线性反演效果好，但是，阻尼因子的选择仍然是一个待试验确定的参数．

arious criteria of geophysical inverse problems are summarized first.Then corresponding data and resolution matrix of model parameters have been derived.The general principles for selecting evaluation criteria have been pointed out theoretically. It is held that the linear inverse effect of compromized evaluating criteria of damping factor E is rather good when the observed data is not very accutate and the conditions of structural core matrix GG are not so critical.But the selection of damping factr is to be determined through experiments.