Seismic Attribute Analysis with Saliency Detection in Fractional Fourier Transform Domain

Abstract

Most image saliency detection models are dependent on prior knowledge and demand high computational cost. However, spectral residual (SR) and phase spectrum of the Fourier transform (PFT) models are simple and fast saliency detection approaches based on two-dimensional Fourier transform without the prior knowledge. For seismic data, the geological structure of the underground rock formation changes more obviously in the time direction. Therefore, one-dimensional Fourier transform is more suitable for seismic saliency detection. Fractional Fourier transform (FrFT) as an improved algorithm for Fourier transform, we propose the seismic SR and PFT models in one-dimensional FrFT domain to obtain more detailed saliency maps. These two models use the amplitude and phase information in FrFT domain to construct the corresponding saliency maps in spatial domain. By means of these two models, several saliency maps at different fractional orders can be obtained for seismic attribute analysis. These saliency maps can characterize the detailed features and highlight the object areas, which is more conducive to determine the location of reservoirs. The performance of the proposed method is assessed on both simulated and real seismic data. The results indicate that our method is effective and convenient for seismic attribute extraction with good noise immunity.

Keywords

saliency detection / spectral residual / phase spectrum / fractional Fourier transform (FrFT) / attribute extraction / seismic data

References

Achanta R., Hemami S., Estrada F., . Frequency-Tuned Salient Region Detection. IEEE Conference on Computer Vision and Pattern Recognition, 2009, 1597-1604.

Chen Q., Sidney S. Seismic Attribute Technology for Reservoir Forecasting and Monitoring. The Leading Edge, 1997, 16(5): 445-448.

Chen Y. P., Peng Z. M., He Z. H., . The Optimal Fractional Gabor Transform Based on the Adaptive Window Function and Its Application. Applied Geophysics, 2013, 10(3): 305-313.

Chopra S., Marfurt K. J. Seismic Attributes—A Historical Perspective. Geophysics, 2005, 70(5): 3SO-28SO.

Chopra S., Marfurt K. J. Emerging and Future Trends in Seismic Attributes. The Leading Edge, 2008, 27(3): 298-318.

Ell T. A., Sangwine S. J. Hypercomplex Fourier Transforms of Color Images. IEEE Transactions on Image Processing, 2007, 16(1): 22-35.

Goloshubin G., Silin D., Vingalov V., . Reservoir Permeability from Seismic Attribute Analysis. The Leading Edge, 2008, 27(3): 376-381.

Guo C., Ma Q., Zhang L. Spatio-Temporal Saliency Detection Using Phase Spectrum of Quaternion Fourier Transform. IEEE Conference on Computer Vision and Pattern Recognition, 2008, 1-8.

Hou X., Zhang L. Saliency Detection: A Spectral Residual Approach. IEEE Conference on Computer Vision and Pattern Recognition, 2007, 1-8.

Kutay A., Ozaktas H. M., Ankan O., . Optimal Filtering in Fractional Fourier Domains. IEEE Transactions on Signal Processing, 1997, 45(5): 1129-1143.

Li J., Levine M. D., An X. J., . Visual Saliency Based on Scale-Space Analysis in the Frequency Domain. IEEE Transactions on Pattern Analysis and Machine Intelligence, 2013, 35(4): 996-1010.

Martin G. S. The Marmousi 2 Model, Elastic Synthetic Data, and an Analysis of Imaging and AVO in a Structurally Complex Environment: [Dissertation], 2004, 6-19.

Qi S. X., Ma J., Li H., . Infrared Small Target Enhancement via Phase Spectrum of Quaternion Fourier Transform. Infrared Physics & Technology, 2014, 62: 50-58.

Steeghs P., Drijkoningen G. Seismic Sequence Analysis and Attribute Extraction Using Quadratic Time-Frequency Representations. Geophysics, 2001, 66(6): 1947-1959.

Tian L., Peng Z. M. Determining the Optimal Order of Fractional Gabor Transform Based on Kurtosis Maximization and Its Application. Journal of Applied Geophysics, 2014, 108: 152-158.

Wang C., Lu Y. C., Huang H. G., . New Seismic Attribute Technology for Predicting Dissolved Pore-Fracture of Deeply Buried Platform Margin Reef-Beach System in Northeast Sichuan Basin, China. Journal of Earth Science, 2015, 26(3): 373-383.

Wang Y. Q., Peng Z. M. The Optimal Fractional S Transform of Seismic Signal Based on the Normalized Second-Order Central Moment. Journal of Applied Geophysics, 2016, 129: 8-16.

Wang Y. Q., Peng Z. M., He Y. M. Instantaneous Attributes Analysis of Seismic Signals Using Improved HHT. Journal of Earth Science, 2015, 26(4): 515-521.

Yu Y., Wang B., Zhang L. Pulse Discrete Cosine Transform for Saliency-Based Visual Attention. IEEE 8th International Conference on Development and Learning, 2009, 1-6.