基于Shearlet变换的三维地震数据重建

doi:10.11720/wtyht.2025.1271

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Abstract

Seismic data collected in the field frequently suffer from missing values due to constraints of acquisition cost or terrain. Data reconstruction is a critical step in seismic data preprocessing. Based on the compressed sensing theoretical framework, this study subsampled synthesized data using the 2D random undersampling technique. Then, the 3D seismic data were divided into a series of time slices. By introducing the sparse Shearlet transform and using the convex set projection (POCS) algorithm, this study conducted sequential data reconstruction for various time slices. As a result, a Shearlet transform-based time-domain 3D seismic data reconstruction method was developed. Numerical experiments and measured results demonstrate that the proposed reconstruction method exhibits a higher signal-to-noise ratio, a higher computational speed, and better effects than a Curvelet transform-based approach.

Key words： Shearlet transform seismic data reconstruction compression sensing convex set projection algorithm

Received: 26 June 2024 Published: 22 April 2025

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	Articles by authors
	Wei-Hong HUANG
	Hua ZHANG
	Zhao-Qi WU
	Meng-Xue DAI
	Xing-Yue BAO
	Wei-Long JIANG
	Xiu-Quan QIU

Cite this article:

Wei-Hong HUANG,Hua ZHANG,Zhao-Qi WU, et al. 3D seismic data reconstruction based on Shearlet transform[J]. Geophysical and Geochemical Exploration, 2025, 49(2): 394-403.

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https://www.wutanyuhuatan.com/EN/10.11720/wtyht.2025.1271 OR https://www.wutanyuhuatan.com/EN/Y2025/V49/I2/394

Synthesize data and corresponding speed model

Reconstructed SNR curves of the index and the new threshold model

The reconstructed results and error by Curvelet and Shearlet

Reconstructed SNR curves by Curvelet and Shearlet

f-k spectrum of 2D random under-sampling reconstruction results

Single channel display of reconstruction results and errors
1—original record;2—Curvelet reconstruction results;3—Shearlet reconstruction results;4—Curvelet errors; 5—Shearlet errors

Reconstruction results of curved and shear wave bases and SNR of each time slice

Reconstruction results of two-dimensional random under-sampling of noisy data and its error diagram

Continuous missing seismic trace reconstruction

Continuous missing trace number and reconstructed SNR

Reconstruction results of measured data

f-k spectrum of reconstructed measured data

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