DTAE: Deep Tensor Autoencoder for 3-D Seismic Data Interpolation

The core challenge of seismic data interpolation is how to capture latent spatial-temporal relationships between unknown and known traces in 3-D space. The prevailing tensor-based interpolation schemes seek a globally low-rank approximation to mine the high-dimensional relationships hidden in 3-D se...

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Bibliographic Details
Published in:IEEE transactions on geoscience and remote sensing 2022, Vol.60, p.1-19
Main Authors: Qian, Feng, Liu, Zhangbo, Wang, Yan, Liao, Songjie, Pan, Shengli, Hu, Guangmin
Format: Article
Language:English
Subjects:
Approximation
Back propagation
Data models
Deep tensor autoencoder (DTAE)
Discrete cosine transform
Geological structures
Interpolation
low-rank constraint
Mathematical model
matrix autoencoder
Parameters
Seismic data
Solid modeling
tensor back propagation
tensor-tensor product (t-product)
Tensors
Training
Transforms
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Summary:The core challenge of seismic data interpolation is how to capture latent spatial-temporal relationships between unknown and known traces in 3-D space. The prevailing tensor-based interpolation schemes seek a globally low-rank approximation to mine the high-dimensional relationships hidden in 3-D seismic data. However, when the low-rank assumption is violated for data involving complex geological structures, the existing interpolation schemes fail to precisely capture the trace relationships, which may influence the interpolation results. As an alternative, this article presents a basic deep tensor autoencoder (DTAE) and two variants to implicitly learn a data-driven, nonlinear, and high-dimensional mapping to explore the complicated relationship among traces without the need for any underlying assumption. Then, tensor backpropagation (TBP), which can be essentially viewed as a tensor version of traditional backpropagation (BP), is introduced to solve for the new model parameters. For ease of implementation, a mathematical relationship between tensor and matrix autoencoders is constructed by taking advantage of the properties of a tensor-tensor product. Based on the derived relationship, the DTAE weight parameters are inferred by applying a matrix autoencoder to each frontal slice in the discrete cosine transform (DCT) domain, and this process is further summarized into a general theoretical and practical framework. Finally, the performance benefits of the proposed DTAE-based method are demonstrated in experiments with both synthetic and real field seismic data.
ISSN:0196-2892
1558-0644
DOI:10.1109/TGRS.2021.3075968