Error analysis of the converted wave deduced by equivalent velocity assumption

Wei Wang; Yun Wang; Junjie Yin; Xing Gao

doi:10.1071/EG11039

ISSN: 0812-3985
E-ISSN: 1834-7533

Error analysis of the converted wave deduced by equivalent velocity assumption
Authors Wei Wang^a, Yun Wang^b,d, Junjie Yin^c and Xing Gao^a
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^a The State Key Laboratory of Resources and Environmental Information System, Institute of Geographic Sciences and Natural Resources Research, Chinese Academy of Sciences, Beijing 100101, China. ^b Institute of Geochemistry, Chinese Academy of Sciences, Guiyang 550002, China. ^c China United Coal Bed Methane Co., Ltd., Beijing, 100011, China. ^d Corresponding author. Email: [email protected]
Publisher: Australian Society of Exploration Geophysicists
Source: Exploration Geophysics, Volume 43, Issue 3, Sep 2012, p. 162 - 170
DOI: https://doi.org/10.1071/EG11039
- Received: 26 Jul 2011
- Accepted: 17 Mar 2012
- Published online: 01 Sep 2012

Abstract

[

Based on the assumption of the equivalent velocity and offset, the converted wave travel-time equation, which has a double square root due to the asymmetric ray-path of the down-going P-wave and the up-coming S-wave, can be transformed into a single square root equation if the common scatterpoint (CSP) gathers are binned. This method simplifies the equation and decreases the errors of converted wave migration transferred by P-wave velocity error, compared to the equivalent offset method (EOM) migration proposed by Bancroft, Geiger and Foltinek . In this paper, the errors caused by the introduction of equivalent velocity for the PS-wave are analysed in detail. The discrete errors and effects introduced by discretization of the equivalent offset are presented, and finally the conditions for applying CSP gathers for PS-wave processing under the control of reasonable error limits are derived.

Under the assumption of the equivalent velocity, the converted wave can be easily migrated in the time domain based on the equivalent offset method (EOM). In this paper, the analysis of errors caused by the introduction of the equivalent velocity for the PS-wave and the conditions for applying common scatterpoint (CSP) gathers are presented.

]

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References

Bancroft, J. C., and Geiger, H. D., 1996, Velocity sensitivity for equivalent offset prestack migration: a contrast in robustness and fragility: CSEG National Convention, Expanded Abstracts, 149–150.
Bancroft, J. C., and Wang, S., 1994, Converted-wave prestack migration and velocity analysis by equivalent offsets and CCP gathers: CREWES Research Report, 6, 28.1–28.7.
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Error analysis of the converted wave deduced by equivalent velocity assumption

Exploration Geophysics 43, 162 (2012); https://doi.org/10.1071/EG11039

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Article Type: Research Article

Keyword(s): converted wave; EOM; equivalent offset; equivalent velocity; error analysis

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Error analysis of the converted wave deduced by equivalent velocity assumption

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