Acoustic wave propagation simulation by reduced order modelling
Hadi Mahdavi Basir 1 Abdolrahim Javaherian 1 2 6 Zaher Hossein Shomali 2 3 Roohollah Dehghani Firouz-Abadi 4 Shaban Ali Gholamy 5
+ Author Affiliations
- Author Affiliations
1 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(3) 386-397 https://doi.org/10.1071/EG16144
Submitted: 23 November 2016 Accepted: 3 May 2017 Published: 13 June 2017
Abstract
Wave propagation simulation, as an essential part of many algorithms in seismic exploration, is associated with high computational cost. Reduced order modelling (ROM) is a known technique in many different applications that can reduce the computational cost of simulation by employing an approximation of the model parameters. ROM can be carried out using different algorithms. The method proposed in this work is based on using the most important mode shapes of the model, which can be computed by an efficient numerical method. The numerical accuracy and computational performance of the proposed method were investigated over a simple synthetic velocity model and a portion of the SEG/EAGE velocity model. Different boundary conditions were discussed, and among them the random boundary condition had higher performance for applications like reverse time migration (RTM). The capability of the proposed method for RTM was evaluated and confirmed by the synthetic velocity model of SEG/EAGE. The results showed that the proposed ROM method, compared with the conventional finite element method (FEM), can decrease the computational cost of wave propagation modelling for applications with many simulations like the reverse time migration. Depending on the number of simulations, the proposed method can increase the computational efficiency by several orders of magnitudes.
Key words: acoustic wave propagation simulation, finite element method (FEM), reduced order modelling (ROM), seismic modelling.
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