FULL WAVEFORM INVERSION USING REVERSE TIME MIGRATION AND GOLDEN RATIO
DOI:
https://doi.org/10.23960/jge.v11i3.502Keywords:
Full-waveform inversion, Golden ratio, Reverse Time MigrationAbstract
Seismic wave imaging techniques, such as conventional full-waveform inversion (FWI), which utilize numerical solutions of seismic wave equations, can be a valuable tool for estimating high resolution models of complex geological conditions. However, conventional FWI only uses one variable recording to find the minimum misfit in the step length calculation process, unlike the FWI golden ratio, which looks for minimum misfits using the four-variable recording. The method of calculating the four-variable recording continues to be updated until the velocity value from the FWI golden ratio is close to the actual velocity model values. Then, using reverse-time migration (RTM) in this case study is crucial for determining the final results of the velocity value in the FWI golden ratio. RTM takes over as the actual recording and is used in the process of calculating the gradient on this FWI golden ratio. The gradient is then calculated with a step length to get the model update. Using the golden ratio and gradient step length from RTM really helps reduce misfit. The final result, obtained using RTM and the golden ratio in the FWI method, produces an image that resembles the shape of the true synthetic model and yields updated velocity values that are not significantly different from the true velocity values in the synthetic model.
References
Aparajita, M. J. & Winardhi, I. S. (2022). Full-Waveform Inversion in Time Domain by Increased Frequency Iteratively. IOP Conf. Series: Earth and Environmental Science, 103, 012031. https:/doi.org/10.1088/1755-1315/1031/1/012031.
Barnier, G., Ettore, B., Robert, G. C., & Biondo, B. (2022). Full-Waveform Inversion by Model Extension: Theory, Design, and Optimization. Geophysics, 88. https:/doi.org/10.1190/geo2022-0350.1.
Galuzzi, B. G. (2017). Modelling And Optimization Techniques for Acoustic Full Waveform Inversion in Seismic Exploration. PhD Thesis, Milano: Universitas Degli Studi.
Ghorbani, H. (2021). Golden Ratio: The Mathematics of Beauty. Mathematics Interdisciplinary Research. 6. 159-170.
Jang, S. & Kim, T. (2015). Prestack Reverse Time Migration for 3D Marine Reflection Seismic Data. AIP Conference Proceedings, 1648, 270004. https:/doi.org/10.1063/1.4912526.
Jun, H. (2019). Frequency-Domain Reflection-Based Full Waveform Inversion for Short-Offset Seismic Data. Journal of Applied Geophysics, 164, 106-116.
Kim, S., Chung, W., Shin, S., & Lee, D. (2020). Seismic Full-Waveform Inversion Using Decomposed P-Wavefield. Journal of Seismic Exploration. 29. 201-224.
Lindfield, G. & Penny, J. (2019). Numerical Methods using MATLAB 4th Ed. London, UK: Academic Press.
Lu, C., Liu, Y., & Gao, J. (2025). Reverse Time Migration Method for Joint Imaging of Multiples and Primaries in Vertical Seismic Profiling. Applied Sciences. 15. 2820. https:/doi.org/10.3390/app15052820.
Pladys, A., Brossier, R., Li, Y., & Métivier, L. (2021) On Cycle-Skipping and Misfit Function Modification for Full-Wave Inversion: Comparison of Five Recent Approaches. Geophysics. 82. https://doi.org/10.1190/geo2020-0851.1.
Song, J., Yang, Z., Cao, H., He, W., Pan, W., Li, M., & Tian, N. (2023). Full Waveform Inversion with Combined Misfit Functions and Application in Land Seismic Data. Front. Earth Sci. 11:1264009. https:/doi.org/10.3389/feart.2023.1264009.
Schuster, G.T. (2017). Seismic Inversion. Investigations in Geophysics Series No.20. SEG.
Treister, E., & Haber, E. (2017). Full Waveform Inversion Guided by Travel Time Tomography. SIAM Journal on Scientific Computing. 39. https://doi.org/10.1137/16M1082718.
Vigh, D., Jiao, K., Cheng, X., Sun, D., & Lewis, W. (2017). Earth-Model Building from Shallow to Deep with Full-Waveform Inversion. Geophysics. 82. 1-40. https:/doi.org/10.1190/geo2016-0699.1.
Visco-Prieto, A. F., Cagigas, A., Rosas, J. M., & Callejas-Aguilera, J. E. (2016). Experimental Approach to The Study of Beauty: The role of golden proportion. Psicológica. 37. 187-207.
Xue, Z., Zhu, H., & Fomel, S. (2017). Full-Waveform Inversion Using Seislet Regularization. Geophysics. 82. https:/doi.org/10.1190/GEO2016-0699.1.
Yang, Y., Engquist, B., Sun, J., & Hamfeldt, B,F. (2018). Application of Optimal Transport and The Quadratic Wasserstein Metric to Full-Waveform Inversion. Geophysics. 83. https:/doi.org/10.1190/GEO2016-0663.1.
Zhong, Y., Liu, Y., & Luo, X. (2019). Elastic Reverse Time Migration in VTI Media Based on The Acoustic Wave Equations. Journal of Applied Geophysics, 168, 128-138
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