Rayleigh Wave Suppression Using Super-Virtual Interferometry Method

doi:10.13209/j.0479-8023.2016.048

Abstract

Abstract:

Conventional Rayleigh wave suppression methods take advantage of differences in frequencies or apparent velocities between surface waves and effective waves to separate Rayleigh waves. However, the suppression may fail when the waves present small differences. To solve this problem, the super-virtual interferometry method is introduced to predict and suppress Rayleigh waves. It is a data-driven method, which is independent of frequencies or apparent velocities, and presents good applicability to complex near surface. Compared with conventional interferometry method which only predicts inter-receiver Rayleigh waves and requires a real shot around the receiver position, the super-virtual interferometry method is able to achieve shot-receiver Rayleigh waves, followed by adaptive subtraction using multichannel L₁-norm. The synthetic data examples demonstrate the validity of the proposed method and obtain good results.

Key words: Rayleigh wave, super-virtual interferometry method, adaptive subtraction, L₁-norm

摘要：

常规的瑞利波压制方法是利用瑞利波和有效波在频率或视速度方面的差异, 对瑞利波进行分离和压制, 在差异较小时, 压制效果不理想。针对这一问题, 引入超虚干涉法实现瑞利波压制。该方法是一种数据驱动的方法, 不依赖频率和视速度信息, 且对于复杂地表有较好的适用性。与传统干涉法只能预测检波点间的瑞利波并要求检波点附近存在真实炮点相比, 超虚干涉法可以直接得到炮点至检波点的瑞利波, 进而通过多道L₁范数自适应相减法去除瑞利波。通过合成数据处理, 利用该方法压制瑞利波取得一定的效果。

关键词: 瑞利波, 超虚干涉法, 自适应相减, L₁范数

CLC Number:

P315

Yuhang WANG, Shengpei AN, Weizhong WANG, Tianyue HU. Rayleigh Wave Suppression Using Super-Virtual Interferometry Method[J]. Acta Scientiarum Naturalium Universitatis Pekinensis, 2017, 53(1): 19-25.

王宇航, 安圣培, 王为中, 胡天跃. 超虚干涉法压制瑞利波研究[J]. 北京大学学报自然科学版, 2017, 53(1): 19-25.

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URL: https://xbna.pku.edu.cn/EN/10.13209/j.0479-8023.2016.048

https://xbna.pku.edu.cn/EN/Y2017/V53/I1/19

Figures/Tables 9

Fig. 1 Scheme of correlation for Rayleigh waves

Fig. 2 Scheme of convolution for Rayleigh waves

Table 1 Horizental layered model

层序数	P波速度/ (m·s^-1)	S波速度/ (m·s^-1)	密度/ (kg·m^-3)	深度/m
1	1600	450	1700	50
2	2200	1200	1900	125
3	2700	1550	2050	200

Fig. 3 Suppression of Rayleigh waves for the horizental layered model

Fig. 4 Comparison of stacked sections for surface wave suppression

Fig. 5 S-wave model with lateral velocity variation

Fig. 6 Suppression of Rayleigh waves for the complex model

Fig. 7 Comparison of stacked sections by different Rayleigh wave suppression methods

Table 2 Comparison of SNR by surface wave suppression methods

方法	SNR/dB
原始数据	6.36
局域滤波法	7.14
f-k方法	8.03
超虚干涉法	8.41

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