MDA GAN: Adversarial-Learning-based 3-D Seismic Data Interpolation and Reconstruction for Complex Missing

The interpolation and reconstruction of missing traces is a crucial step in seismic data processing, moreover it is also a highly ill-posed problem, especially for complex cases such as high-ratio random discrete missing, continuous missing and missing in fault-rich or salt body surveys. These complex cases are rarely mentioned in current sparse or low-rank priorbased and deep learning-based approaches. To cope with complex missing cases, we propose Multi-Dimensional Adversarial GAN (MDA GAN), a novel 3-D GAN framework. It employs three discriminators to ensure the consistency of the reconstructed data with the original data distribution in each dimension. The feature splicing module (FSM) is designed and embedded into the generator of this framework, which automatically splices the features of the unmissing part with those of the reconstructed part (missing part), thus fully preserving the information of the unmissing part. To prevent pixel distortion in the seismic data caused by the adversarial learning process, we propose a new reconstruction loss Tanh Cross Entropy (TCE) loss to provide smoother gradients. We experimentally verified the effectiveness of the individual components of the study and then tested the method on multiple publicly available data. The method achieves reasonable reconstructions for up to 95% of random discrete missing, 100 traces of continuous missing and more complex hybrid missing. In surveys of fault-rich and salt bodies, the method can achieve promising reconstructions with up to 75% missing in each of the three directions (98.2% in total).

Efficient Training of 3D Seismic Image Fault Segmentation Network under Sparse Labels by Weakening Anomaly Annotation

Seismic data fault detection has recently been regarded as a 3D image segmentation task. The nature of fault structures in seismic image makes it difficult to manually label faults. Manual labeling often has many false negative labels (abnormal annotations), which will seriously jeopardize the training process. In this work, we find that region-based loss significantly outperforms distribution-based loss when dealing with false negative labels, therefore we proposed Mask Dice loss (MD loss), which is the first reported region-based loss function for training 3D image segmentation networks using sparse 2D slice labels. In addition, fault is an edge feature, and the current network widely used for fault segmentation downsamples the features multiple times, which is not conducive to edge representation and thus requires many parameters and computational effort to preserve the features. We proposed Fault-Net, which uses a high-resolution and shallow structure to propagate multi-scale features in parallel, fully preserving edge features. Meanwhile, in order to efficiently fuse multiscale features, we decouple the convolution process into feature selection and channel fusion, and proposed a lightweight feature fusion block, Multi-Scale Compression Fusion (MCF). Because the Fault-Net always keeps the edge features during propagation, only few parameters and computation are required. Experimental results show that MD loss can clearly weaken the effect of false negative labels. The Fault-Net parameter is only 0.42MB, support up to 528^3(1.5x10^8, Float32) size cuboid inference on 16GB video ram, its inference speed on CPU and GPU is significantly faster than other networks. It works well on most of the open data seismic images, and the result of our approach is state-ofthe-art in FORCE fault identification competition.