Wave Field Separation of Vertical Seismic Profiling in Curvelet Domain

包乾宗; 高静怀; 陈文超

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Wave Field Separation of Vertical Seismic Profiling in Curvelet Domain

更新时间：2025-12-08

- Wave Field Separation of Vertical Seismic Profiling in Curvelet Domain
- Vol. 41, Issue 6, Pages: 650-654(2007)
- 作者机构：
  
  西安交通大学电子与信息工程学院,西安,710049
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN911.7
- Online First：10 June 2007，
  
  Published：2007
- 稿件说明：
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包乾宗, 高静怀, 陈文超. Wave Field Separation of Vertical Seismic Profiling in Curvelet Domain[J]. 2007, 41(6): 650-654.
DOI：

包乾宗, 高静怀, 陈文超. Wave Field Separation of Vertical Seismic Profiling in Curvelet Domain[J]. 2007, 41(6): 650-654. DOI：

摘要

针对垂直地震剖面(VSP)资料处理中上下行波重叠难以分离的问题

提出了一种基于奇异值分解(SVD)和Curvelet变换相结合的分离上下波方法.首先基于数据中随机噪声是统计平稳的假设

在Curvelet域通过分尺度选取阈值压制随机噪声

再利用奇异值分解方法滤除部分下行波能量

最后根据VSP资料中上下行波在Curvelet域分布区域不同

进行上下行波场分离.合成和实际资料处理结果表明

该方法与f-k滤波方法和SVD方法相比

不仅提高了信噪比

而且减弱了边界上的波形畸变

得到了更好的分离效果.

Abstract

To separate the up-going and down-going waves in data processing of vertical seismic profiling

a method of wave field separation is proposed based on a combination of singular value decomposition(SVD)and Curvelet transform. Firstly

based on the assumption that random noise in data is stationary in statistics

the threshold on scale of Curvelet domain is selected for attenuation of random noise. And then

SVD method is used to filter part of down-going wave energy. Finally

the wave field separation is done because up-going wave and down-going wave will be located in different region of Curvelet domain. The results of synthesized and real data show that the method can improve signal-to-noise ratio

and can weaken the malformation of waveform on boundary. The method can gain better wave field separation result than f-k filter method and SVD method.

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references

朱光明.垂直地震剖面方法[M].北京:石油工业出版社,1988.

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Starck J L, Candes E J, Donoho D L. The Curvelet transform for image denoising [J].IEEE Transactions on Image Processing,2002,11(6):670-684.

Starck J L, Murtagh F, Candes E J, et al. Gray and color image contrast enhancement by the Curvelet transform [J].IEEE Transactions on Image Processing,2003,12(6):706-716.

Herrmann F J, Verschuur E. Curvelet-domain multiple elimination with sparseness constraints[C]∥Expanded Abstracts of SEG 74th Annual Meeting. Denver, USA:Society of Exploration Geophysicists,2004:1333-1336.

张素芳,徐义贤,雷栋. 基于Curvelet变换的多次波去除技术[J].石油地球物理勘探,2006,41(3):262-265.

Zhang Sufang, Xu Yixian, Lei Dong.Multiple-eliminated technique based on Curvelet transform [J].Oil Geophysical Prospecting,2006,41(3):262-265.

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