应用精确Zoeppritz方程的叠前PP-PS波联合非线性反演方法  

A pre-stack nonlinear inversion method for joint PP-PS wave based on exact Zoeppritz equation

作　　者：杨涛 王鹏起 李庆春[1] 霍科宇 李伟[1] 何煦鹍 YANG Tao;WANG Pengqi;LI Qingchun;HUO Keyu;LI Wei;HE Xukun(School of Geological Engineering and Geomatics,Chang’an University,Xi’an,Shaanxi 710054,China;Changqing Branch of Geophysical Research Institute,BGP Inc.,Xi’an,Shaanxi 710021,China)

机构地区：[1]长安大学地质工程与测绘学院,陕西西安710054 [2]东方地球物理公司研究院长庆分院,陕西西安710021

出　　处：《石油地球物理勘探》2025年第1期152-162,203,共12页Oil Geophysical Prospecting

基　　金：国家重点研发计划课题“基于高铁震源的地下介质结构高精度成像与反演”(2021YFA0716902)资助。

摘　　要：叠前AVO反演是获取地层物性参数的重要手段,传统的叠前AVO反演方法多基于近似反射系数方程,往往在特定的地质环境或大入射角情况下精度较低。为克服这些不足,文中提出了一种基于精确Zoeppritz方程的叠前PP-PS波联合非线性反演方法。该方法将多目标的全局优化算法与纵横波联合反演相结合,可同时对PP和PS波两个目标函数进行优化,从而实现完全非线性参数反演。为解决传统PP-PS波联合反演中PS波地震资料权重系数给定困难的问题,在贝叶斯框架下建立了PP-PS波联合反演的多目标函数,并引入多目标智能优化算法——SPEA2求解构建的反演多目标函数。单井合成地震记录、Marmousi模型合成地震记录以及实际地震数据的测试结果表明,该叠前PP-PS波联合非线性反演方法能够高精度地估计地层的弹性参数,在处理复杂地层和大入射角地震数据时反演效果优于传统的AVO反演方法。Pre-stack amplitude variation with offset(AVO)inversion is a crucial method for obtaining petrophysical properties.Traditional pre-stack AVO inversion methods often rely on the approximate reflection coefficient equation,which usually lose accuracy in specific geological environments or under large incident angles.In response,this paper introduces a pre-stack nonlinear inversion method for joint PP-PS wave based on the exact Zoeppritz equation.This method combines a multi-objective global optimization algorithm with the PP-PS joint inversion and can simultaneously optimize the two objective functions of PP and PS,thereby achieving fully nonlinear parameter inversion.To overcome the challenge of assigning weight coefficients for PS data in traditional PP-PS joint inversion methods,this paper establishes a multi-objective function for PP-PS joint inversion within the Bayesian framework and employs a multi-objective intelligent optimization algorithm called strength Pareto evolutionary algorithm 2(SPEA2)to solve the constructed multi-objective function for inversion.Tests are conducted on single-well synthetic seismic records,synthetic seismic records based on the Marmousi model,and seismic records of an actual field.The results show the method proposed in this paper,based on the exact Zoeppritz equation,can accurately estimate the elastic parameters of strata.It has better inversion results than traditional AVO inversion methods when dealing with seismic data for complex strata and large incident angles.

关 键 词：精确Zoeppritz 方程 叠前AVO 反演 SPEA2(Strength Pareto Evolutionary Algorithm 2) PP-PS 波联合 反演 贝叶斯框架 

分 类 号：P631[天文地球—地质矿产勘探]