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Separating Simultaneous Seismic Sources using Robust Inversion of Radon and Migration Operators Open Access


Other title
migration operators
Radon transform
seismic acquisition
Stolt migration
simultaneous source
source separation
Radon Transform
robust inversion
Type of item
Degree grantor
University of Alberta
Author or creator
Ibrahim, Amr Ahmed Mahmoud
Supervisor and department
Sacchi, Mauricio D. (Physics)
Examining committee member and department
Mizera, Ivan (Mathematics)
Verschuur, Eric (Faculty of Applied Sciences, Delft University of Technology)
Marchand, Richard (Physics)
Gu,Jeffrey (Physics)
Rosolowsky, Erik (Physics)
Department of Physics
Date accepted
Graduation date
Doctor of Philosophy
Degree level
The advent of high density 3D wide azimuth survey configurations has greatly increased the cost of seismic acquisition. Simultaneous source acquisition presents an opportunity to decrease costs by reducing the survey time. Source time delays are typically long enough for seismic reflection energy to decay to negligible levels before firing another source. Simultaneous source acquisition abandons this minimum time restriction and allows interference between seismic sources to compress the survey time. Seismic data processing methods must address the interference introduced by simultaneous overlapping sources. Simultaneous source data are characterized by high amplitude interference artefacts that may be stronger than the primary signal. These large amplitudes are due to the time delay between sources and the rapid decay of seismic energy with arrival time. Therefore, source interference will appear as outliers in denoising algorithms that make use of a Radon transform. This will reduce the accuracy of Radon transform de-noising especially for weak signals. Formulating the Radon transform as an inverse problem with an L1 misfit makes it robust to outliers caused by source interference. This provides the ability to attenuate strong source interference while preserving weak underlying signal. In order to improve coherent signal focusing, an apex shifted hyperbolic Radon transform (ASHRT) is used to remove source interferences. ASHRT transform basis functions are tailored to match the travel time hyperbolas of reflections in common receiver gathers. However, the ASHRT transform has a high computational cost due to the extension of the model dimensions by scanning for apex locations. By reformulating the ASHRT operator using a Stolt migration/demigration kernel that exploits the Fast Fourier Transform (FFT), the computational efficiency of the operator is drastically improved.Moreover, the computational efficiency of the Stolt-based ASHRT operator allows us to extend the model dimension to fit seismic diffractions with the same accuracy as seismic reflections. The Asymptote and Apex Shifted Hyperbolic Radon Transform (AASHRT) can better focus diffracted energy by extending the basis functions to account for the asymptote time shift associated with diffractions. This transform is used to interpolate synthetic data that contain significant amount of seismic diffractions. The results of the interpolation tests show that the AASHRT transform is a powerful tool for interpolating seismic diffractions.
This thesis is made available by the University of Alberta Libraries with permission of the copyright owner solely for the purpose of private, scholarly or scientific research. This thesis, or any portion thereof, may not otherwise be copied or reproduced without the written consent of the copyright owner, except to the extent permitted by Canadian copyright law.
Citation for previous publication
Ibrahim, A. and Sacchi, M. D. (2013). Simultaneous source separation using a robust Radon transform. 83th Annual International Meeting, SEG, Expanded Abstracts, pages 4283–4288.Ibrahim, A. and Sacchi, M. D. (2014a). Accelerating robust Radon transforms via the Stolt operator for simultaneous source separation. 84th Annual International Meeting, SEG, Expanded Abstracts, pages 202–207.Ibrahim, A. and Sacchi, M. D. (2014b). Eliminating blending noise using fast apex shifted hyperbolic Radon transform. 76th Annual International Conference and Exhibition, EAGE, Expanded Abstracts, pages –.Ibrahim, A. and Sacchi, M. D. (2014c). Simultaneous source separation using a robust Radon transform. Geophysics, 79(1):V1–V11.Ibrahim, A. and Sacchi, M. D. (2015). Fast simultaneous seismic source separation using Stolt migration and demigration operators. Geophysics, 80(6):WD27–WD36.Ibrahim, A., Sacchi, M. D., and Terenghi, P. (2015). Wavefield reconstruction using a Stolt- based asymptote and apex shifted hyperbolic Radon transform. 85th Annual International Meeting, SEG, Expanded Abstracts, pages 3836–3841.

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