Generalized linear joint PP-PS inversion based on two constraints  

基于双约束项的广义线性多波联合反演（英文）

作　　者：方圆[1] 张丰麒[2] 王彦春[1] 

机构地区：[1]中国地质大学(北京),地下信息探测技术与仪器教育部重点实验室,北京100083 [2]中国石化石油勘探开发研究院,北京100083

出　　处：《Applied Geophysics》2016年第1期103-115,220,共14页应用地球物理（英文版）

基　　金：supported by the 863 Program of China(No.2013AA064201)

摘　　要：Conventional joint PP-PS inversion is based on approximations of the Zoeppritz equations and assumes constant VP/VS;therefore,the inversion precision and stability cannot satisfy current exploration requirements.We propose a joint PP-PS inversion method based on the exact Zoeppritz equations that combines Bayesian statistics and generalized linear inversion.A forward model based on the exact Zoeppritz equations is built to minimize the error of the approximations in the large-angle data,the prior distribution of the model parameters is added as a regularization item to decrease the ill-posed nature of the inversion,low-frequency constraints are introduced to stabilize the low-frequency data and improve robustness,and a fast algorithm is used to solve the objective function while minimizing the computational load.The proposed method has superior antinoising properties and well reproduces real data.常规多波联合反演采用Zoeppritz方程的近似式构建正演方程,反演过程中需要假定背景纵横波速度比为常数,其反演精度不高,稳定性不好。本文提出了一种基于精确Zoeppritz方程的多波联合反演方法,结合贝叶斯方法进行广义线性反演。本方法基于精确Zoeppritz方程构建正演方程,避免了近似式反演在大角度时引起的误差;利用贝叶斯方法引入模型参数的先验分布信息,作为反演的正则化项,降低了反演的不适定性;反演目标函数中引入低频软约束,稳定了反演低频结果,提高了反演的鲁棒性;在求解反演目标函数时,利用快速算法,降低了反演的运算量。经过模型试算,证明了该方法的优越性和抗噪性;并在实际资料的应用中证明了该方法的实用性和有效性。

关 键 词：joint PP-PS inversion Zoeppritz equations generalized linear inversion Bayesian statistics low-frequency constraints 

分 类 号：P631.4[天文地球—地质矿产勘探]