Modified imaging condition for reverse time migration based on reduction of modelling time
Hadi Mahdavi Basir 1 Abdolrahim Javaherian 1 2 6 Zaher Hossein Shomali 2 3 Roohollah Dehghani Firouz-Abadi 4 Shaban Ali Gholamy 51 Department of Petroleum Engineering, Amirkabir University of Technology, Tehran 15875-4413, Iran.
2 Institute of Geophysics, University of Tehran, Tehran 14155-6466, Iran.
3 Department of Earth Sciences, Uppsala University, Uppsala 75236, Sweden.
4 Department of Aerospace Engineering, Sharif University of Technology, Tehran 11365-11155, Iran.
5 Department of Geophysics, Exploration Directorate of National Iranian Oil Company, Tehran 19948-14695, Iran.
6 Corresponding author. Email: javaherian@aut.ac.ir
Exploration Geophysics 49(4) 494-505 https://doi.org/10.1071/EG17039
Submitted: 20 March 2017 Accepted: 26 June 2017 Published: 18 August 2017
Abstract
Reverse time migration (RTM) is considered as a high-end imaging algorithm due to its ability to image geologically complex environments. However, this algorithm suffers from very high computational costs and low-frequency artefacts. The former drawback is the result of the intensive computations and huge memory allocation involved in RTM. Wave propagation modelling, as a kernel of RTM, demands intensive computations, and conventional imaging conditions are associated with huge memory allocation. In this paper, a modification of imaging condition is proposed that improves the efficiency of RTM as a reduction of computational cost, memory (RAM) allocation and low-frequency artefacts. The proposed imaging condition is similar to the conventional imaging condition but with the reduction of modelling time to near half the maximum time of recording. As the main idea of the proposed imaging condition, the impact of wave propagation modelling time is investigated on the quality of RTM and illumination of reflectors. The performance of the proposed method is considered using two synthetic models (SEG/EAGE and BP) and a real dataset from an Iranian oilfield in the south of Iran. Results showed that the new imaging condition can properly image the reflectors and enhance the efficiency of RTM. By using the proposed imaging condition, we achieved ~25% increase in CPU performance and 50% decrease in the memory allocation. Despite the improvement of the performance, results showed that the proposed imaging condition had no significant effect on the illumination.
Key words: computational performance, imaging condition, pre-stack depth migration, reverse time migration, seismic imaging.
References
Aminzadeh, F., Jean, B., and Kunz, T., 1997, 3-D salt and overthrust models: Society of Exploration Geophysicists.Anderson, J. E., Tan, L., and Wang, D., 2012, Time-reversal checkpointing methods for RTM and FWI: Geophysics, 77, S93–S103
| Time-reversal checkpointing methods for RTM and FWI:Crossref | GoogleScholarGoogle Scholar |
Baysal, E., Kosloff, D. D., and Sherwood, J. W. C., 1983, Reverse time migration: Geophysics, 48, 1514–1524
| Reverse time migration:Crossref | GoogleScholarGoogle Scholar |
Billette, F. J., and Brandsberg-Dahl, S., 2005, The 2004 BP velocity benchmark: 67th EAGE Conference and Exhibition, Expanded Abstracts, B035, 1–4.
Biondi, B., and Shan, G., 2002, Prestack imaging of overturned reflections by reverse time migration: 72nd Annual International Meeting, SEG, Expanded Abstracts, 1284–1287.
Claerbout, J. F., 1985, Imaging the Earth’s interior: Blackwell Science Inc.
Clapp, R. G., 2009, Reverse time migration with random boundaries: 79th Annual International Meeting, SEG, Expanded Abstracts, 2809–2813.
Clayton, R. W., and Engquist, B., 1980, Absorbing boundary conditions for wave-equation migration: Geophysics, 45, 895–904
| Absorbing boundary conditions for wave-equation migration:Crossref | GoogleScholarGoogle Scholar |
Dai, W., Fowler, P., and Schuster, G. T., 2012, Multi-source least-squares reverse time migration: Geophysical Prospecting, 60, 681–695
| Multi-source least-squares reverse time migration:Crossref | GoogleScholarGoogle Scholar |
Diaz, E., and Sava, P., 2015, Wavefield tomography using reverse time migration backscattering: Geophysics, 80, R57–R69
| Wavefield tomography using reverse time migration backscattering:Crossref | GoogleScholarGoogle Scholar |
Farmer, P. A., Jones, I. F., Zhou, H., Bloor, R. I., and Goodwin, M. C., 2006, Application of reverse time migration to complex imaging problems: First Break, 24, 65–73
Farmer, P. A., Zhou, Z. Z., and Jones, D., 2009, The role of reverse time migration in imaging and model estimation: The Leading Edge, 28, 436–441
| The role of reverse time migration in imaging and model estimation:Crossref | GoogleScholarGoogle Scholar |
Feng, B., and Wang, H., 2012, Reverse time migration with source wavefield reconstruction strategy: Journal of Geophysics and Engineering, 9, 69–74
| Reverse time migration with source wavefield reconstruction strategy:Crossref | GoogleScholarGoogle Scholar |
Fletcher, R. P., and Robertsson, J. O. A., 2011, Time‐varying boundary conditions in simulation of seismic wave propagation: Geophysics, 76, A1–A6
| Time‐varying boundary conditions in simulation of seismic wave propagation:Crossref | GoogleScholarGoogle Scholar |
Foltinek, D., Eaton, D., Mahovsky, J., and Moghaddam, P. P., 2009, Industrial-scale reverse time migration on GPU hardware: 79th Annual International Meeting, SEG, Expanded Abstracts, 2789–2793.
Gu, B., Liu, U., Li, Z., Ma, X., and Liang, G., 2014, An excitation potential imaging condition for elastic reverse time migration: Journal of Applied Geophysics, 108, 124–139
| An excitation potential imaging condition for elastic reverse time migration:Crossref | GoogleScholarGoogle Scholar |
Huang, T., Zhang, Y., Zhang, H., and Young, J., 2009, Subsalt imaging using TTI reverse time migration: The Leading Edge, 28, 448–452
| Subsalt imaging using TTI reverse time migration:Crossref | GoogleScholarGoogle Scholar |
Jin, H., and McMechan, G. A., 2015, Removing smearing-effect artifacts in angle-domain common-image gathers from reverse time migration: Geophysics, 80, U13–U24
| Removing smearing-effect artifacts in angle-domain common-image gathers from reverse time migration:Crossref | GoogleScholarGoogle Scholar |
Komatitsch, D., and Vilotte, J. P., 1998, The spectral element method: an efficient tool to simulate the seismic response of 2D and 3D geological structures: Bulletin of the Seismological Society of America, 88, 368–392
Leveille, J. P., Jones, I. F., Zhou, Z. Z., Wang, B., and Liu, F., 2011, Subsalt imaging for exploration, production, and development: Reviews of Geophysics, 76, WB3–WB20
| Subsalt imaging for exploration, production, and development:Crossref | GoogleScholarGoogle Scholar |
Liu, Y., Chang, X., Jin, D., He, R., Sun, H., and Zheng, Y., 2011, Reverse time migration of multiples for subsalt imaging: Geophysics, 76, WB209–WB216
| Reverse time migration of multiples for subsalt imaging:Crossref | GoogleScholarGoogle Scholar |
Liu, G., Liu, Y., Ren, L, and Meng, X, 2013, 3D seismic reverse time migration on GPGPU: Computers & Geosciences, 53, 17–23
| 3D seismic reverse time migration on GPGPU:Crossref | GoogleScholarGoogle Scholar |
Mahdavi Basir, H., Javaherian, A., Shomali, Z. H., Dehghani Firouzabadi, R., and Rahimi Dalkhani, A., 2015, Using reduced order modeling algorithm for reverse time migration: 2nd EAGE Workshop on High Performance Computing for Upstream, UAE, Expanded Abstracts, HPC08b.
McGarry, R. G., Mahovsky, J. A., Moghaddam, P. P., Foltinek, D. S., and Eaton, D. J., 2010, Reverse-time depth migration with reduced memory requirements. U.S. Patent Application 2010/0054082 A1.
Pereyra, V., 2016, Model order reduction with oblique projections for large scale wave propagation: Journal of Computational and Applied Mathematics, 295, 103–114
| Model order reduction with oblique projections for large scale wave propagation:Crossref | GoogleScholarGoogle Scholar |
Perrone, F., and Sava, P., 2009, Comparison of shot encoding functions for reverse-time migration: 79th Annual International Meeting, SEG, Expanded Abstracts, 2980–2984.
Sava, P., and Fomel, S., 2006, Time-shift imaging condition in seismic migration: Geophysics, 71, S209–S217
| Time-shift imaging condition in seismic migration:Crossref | GoogleScholarGoogle Scholar |
Sava, P., and Vasconcelos, I., 2011, Extended imaging conditions for wave‐equation migration: Geophysical Prospecting, 59, 35–55
| Extended imaging conditions for wave‐equation migration:Crossref | GoogleScholarGoogle Scholar |
Sheriff, R. E., and Geldart, L. P., 1995, Exploration seismology: Cambridge University Press.
Symes, W. W., 2007, Reverse time migration with optimal checkpointing: Geophysics, 72, SM213–SM221
| Reverse time migration with optimal checkpointing:Crossref | GoogleScholarGoogle Scholar |
Tan, S., and Huang, L., 2014, Reducing the computer memory requirement for 3D reverse-time migration with a boundary-wavefield extrapolation method: Geophysics, 79, S185–S194
| Reducing the computer memory requirement for 3D reverse-time migration with a boundary-wavefield extrapolation method:Crossref | GoogleScholarGoogle Scholar |
Tang, B., Xu, S., and Zhang, Y., 2013, 3D angle gathers with plane-wave reverse-time migration: Geophysics, 78, S117–S123
| 3D angle gathers with plane-wave reverse-time migration:Crossref | GoogleScholarGoogle Scholar |
Whitmore, N. D., 1983 Iterative depth migration by backward time propagation: 53rd Annual International Meeting, SEG, Expanded Abstracts, 382–385.
Wu, C., Bevc, D., and Pereyra, V., 2013, Model order reduction for efficient seismic modelling: 83rd Annual International Meeting, SEG, Expanded Abstracts, 3360–3364.
Xu, S., Zhang, Y., and Tang, B., 2011, 3D angle gathers from inverse time migration: Geophysics, 76, S77–S92
| 3D angle gathers from inverse time migration:Crossref | GoogleScholarGoogle Scholar |
Yang, P., Wang, B., and Gao, J., 2014, Using the effective boundary saving strategy in GPU-based RTM programming: 84th Annual International Meeting, SEG, Expanded Abstracts, 4014–4021.
Yoon, K., Marfurt, K., and Starr, E. W., 2004, Challenges in reverse-time migration: 74th Annual International Meeting, SEG, Expanded Abstracts, 1057–1060.
Zhang, Y., Ratcliffe, A., Roberts, G., and Duan, L., 2014, Amplitude-preserving reverse time migration: from reflectivity to velocity and impedance inversion: Geophysics, 79, S271–S283
| Amplitude-preserving reverse time migration: from reflectivity to velocity and impedance inversion:Crossref | GoogleScholarGoogle Scholar |