Forward modelling formulas for least-squares reverse-time migration

被引：18
作者：
Yao, Gang [1 ]
da Silva, Nuno, V [1 ]
Wu, Di [2 ]
机构：
[1] Imperial Coll London, Dept Earth Sci & Engn, London, England
[2] China Univ Petr, Unconvent Nat Gas Inst, Beijing 102249, Peoples R China
来源：
EXPLORATION GEOPHYSICS | 2018年 / 49卷 / 04期
关键词：
Born approximation; forward modelling; Kirchhoff approximation; least-squares inversion; least-squares reverse-time migration; reverse-time migration; WAVE-EQUATION MIGRATION; REFLECTION DATA; FINITE-DIFFERENCE; INVERSION; CONTINUATION; APPROXIMATION; KIRCHHOFF; OPERATORS; GATHERS;
D O I：
10.1071/EG16157
中图分类号：
P3 [地球物理学]; P59 [地球化学];
学科分类号：
0708 ; 070902 ;
摘要：
Reverse-time migration can be formulated in a least-squares inversion framework. This is referred to as least-squares reverse-time migration, which attempts to find an optimal model of the reflectors that fits the observed data in a least-squares sense. Based on different representations of the model, different formulas of the forward modelling for least-squares reverse-time migration can be derived. In this paper, we derive two different formulas. One formula is to recover the impedance-perturbation-related images based on Born approximation. The other is to invert the reflectivity-related images based on Kirchhoff approximation. The theoretical analysis unveils there is an i difference between the two formulas. Consequently, the seismic image using the two formulas has different shape/phase: the one based on Born approximation produces anti-symmetric images; the other based on Kirchhoff approximation gives symmetric images. Two numerical examples demonstrate the similarities and differences between the two formulas.
引用
收藏
页码：506 / 518
页数：13
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