Generalized impedance blocky inversion based on a-nalytic solution to wave equation
LI Yuanqiang1,2,3, HUO Zhizhou4, LI Jingye1,2,3, CHEN Xiaohong1,2,3, ZHANG Jian1,2,3, GENG Weiheng1,2,3
1. College of Geophysics, China University of Petroleum(Beijing), Beijing 102249, China; 2. State Key Laboratory of Petroleum Resources and Prospecting, Beijing 102249, China; 3. National Engineering Laboratory for Offshore Oil Exploration, Beijing 102249, China; 4. Sinopec Petroleum Exploration and Production Research Institute, Beijing 100083, China
Abstract：Since the pre-processing of pre-stack gathers is based on the assumption of acoustic medain in many cases,the the gathers tend to be with more acoustic AVO features.In addition,density inversion is unstable.This paper proposes a generalized impedance blocky inversion based on analytic solution to acoustic wave equation.The generalized acoustic impedance is inverted by a partially stacked profile,which varies with the angle of incidence; and on this basis,more accurate velocity and stable density are extracted.For the conventional impe-dance inversion method,transmission loss and inter-layer multiples are neglected.Based on the recursive formula of derivation,the one-dimensional acoustic wave equation is solved analytically to obtain the full-wavefield responses at different incident angles,and the Fréchet derivatives are analytically derived for gradient-descent inversion algorithm.Most of the inversion methods are based on smoothing constraints,which fundamentally lead to unfocused boundaries for inversion results.In order to improve the resolution of the inversion results,blocky constraints can be introduced based on the Bayesian inference framework to obtain stable and high resolution inversion results.According to the above theory,we first uses model data to analyze the influence of the incompleteness of the forward method on seismic responses,further verify the validity of the inversion method,and extract the accurate velocity and density.Then the ability to cha-racterize the boundary for blocky constraintis tested by adding noises.Both model and actual data prove that the inversion results from the new method have higher resolution,the boundary is clearer,and the extracted velocity and density profiles are stable and accurate.
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