Abstract

We have developed an interpolation method based on the denoising convolutional neural network (CNN) for seismic data. It provides a simple and efficient way to break through the problem of the scarcity of geophysical training labels that are often required by deep learning methods. This new method consists of two steps: (1) training a set of CNN denoisers to learn denoising from natural image noisy-clean pairs and (2) integrating the trained CNN denoisers into the project onto convex set (POCS) framework to perform seismic data interpolation. We call it the CNN-POCS method. This method alleviates the demands of seismic data that require shared similar features in the applications of end-to-end deep learning for seismic data interpolation. Additionally, the adopted method is flexible and applicable for different types of missing traces because the missing or down-sampling locations are not involved in the training step; thus, it is of a plug-and-play nature. These indicate the high generalizability of the proposed method and a reduction in the necessity of problem-specific training. The primary results of synthetic and field data show promising interpolation performances of the adopted CNN-POCS method in terms of the signal-to-noise ratio, dealiasing, and weak-feature reconstruction, in comparison with the traditional [Formula: see text]-[Formula: see text] prediction filtering, curvelet transform, and block-matching 3D filtering methods.

Highlights

  • Due to existing terrain obstacles or economic restrictions, missing traces in acquired seismic data, nonuniformly or uniformly, along the spatial coordinate is unavoidable, and this affect seismic inversion, amplitude-versus-angle analysis, and migration

  • We present two examples to show that the denoisers that learn from natural images can get comparable performance with those that learn from seismic data on denoising seismic noisy data

  • We introduced a convolutional neural network (CNN)-project onto convex set (POCS) method for seismic interpolation and showed that the CNN denoisers pretrained on natural images could essentially contribute to improving the seismic interpolation results

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Summary

Introduction

Due to existing terrain obstacles or economic restrictions, missing traces in acquired seismic data, nonuniformly or uniformly, along the spatial coordinate is unavoidable, and this affect seismic inversion, amplitude-versus-angle analysis, and migration. To use these incomplete data, many researchers have developed dozens of interpolation methods to restore the missing traces. Yu et al (2015) extend the data-driven tight frame (DDTF) method to 3D seismic data interpolation and later proposed the Monte Carlo DDTF method to reduce computation (Yu et al, 2016). For regularly subsampled seismic data with spatial aliasing, associated antialiasing techniques are included in these methods (Naghizadeh and Sacchi, 2010)

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