一种确定联合反演中相对权比的两步法

A Two-step Method to Determine Relative Weight Ratio Factors in Joint Inversion

提出确定联合反演中相对权比的两步法。第1步是不考虑相对权比,建立两类或多类数据的联合反演模型,通过赫尔墨特方差分量估计使得两类或多类观测数据的单位权方差相等(或单位权方差的比值接近1),从而理论上确定观测数据合理的权阵,同时对不同种类数据进行归一化;第2步是在获得合理的观测数据权阵之后,建立顾及相对权比的联合反演模型,以目标函数值为最小来确定权比例因子。通过模拟数据,设计多个反演方案,证明两步法的有效性和可行性。

The two-step method to determine relative weight ratio factors in joint inversion is derived.In the first step,without considering relative weight ratio factors,the joint inversion model of two or more kinds of observation data is established.Through Helmert method of variance components estimation,unit weight variances of observation data are equal（or the ratio of unit weight variances is approximate to 1）,and the reasonable and theoretical weight matrix is determined.At the sametime,different kinds of observation data are normalized.In the second step,on the base of reasonable weight matrix,the joint inversion model considering relative weight ratio factors is established.The relative weight ratio factors are determined when objective function is minimum.Through simulated data and several solutions,the effectiveness and feasibility of two-step method are proved.