Convolutional Neural Networks in the SSI Analysis for Mine-Induced Vibrations

  • Maciej Cyprian Zajac Institute of Technology, University of the National Education Commission, Krakow, Poland
  • Krystyna Kuzniar Institute of Technology, University of the National Education Commission, Krakow, Poland

Abstract

Deep neural networks (DNNs) have recently become one of the most often used soft computational tools for numerical analysis. The huge success of DNNs in the field of image processing is associated with the use of convolutional neural networks (CNNs). CNNs, thanks to their characteristic structure, allow for the effective extraction of multi-layer features. In this paper, the application of CNNs to one of the important soil-structure interaction (SSI) problems, i.e., the analysis of vibrations transmission from the freefield next to a building to the building foundation, is presented in the case of mineinduced vibrations. To achieve this, the dataset from in-situ experimental measurements, containing 1D ground acceleration records, was converted into 2D spectrogram images using either Fourier transform or continuous wavelet transform. Next, these images were used as input for a pre-trained CNN. The output is a ratio of maximal vibration values recorded simultaneously on the building foundation and on the ground. Therefore, the last layer of the CNN had to be changed from a classification to a regression one. The obtained results indicate the suitability of CNN for the analyzed problem.

Keywords

deep learning, convolutional neural networks, shallow neural networks, small data sets, soil-structure interaction, mine-induced vibrations,

References

1. Y. LeCun, Y. Bengio, G. Hinton, Deep learning, Nature, 521: 436–444, 2015, doi: 10.1038/nature14539.
2. I. Goodfellow, Y. Bengio, A. Courville, Deep Learning, The MIT Press, Cambridge, Massachusetts, London, England, 2016.
3. A. Krizhevsky, I. Sutskever, G.E. Hinton, ImageNet classification with deep convolutional neural networks, [in:] F. Pereira, C.J. Burges, L. Bottou, K.Q.Weinberger [Eds.], Advances in Neural Information Processing Systems, Vol. 25, pp. 1097–1105, 2012.
4. K. Simonyan, A. Zisserman, Very deep convolutional networks for large-scale image recognition, arXiv, 2014, arXiv:1409.1556.
5. K. He, X. Zhang, S. Ren, J. Sun, Deep residual learning for image recognition, arXiv, 2015, arXiv:1512.03385.
6. S. Ren, K. He, R. Girshick, J. Sun, Faster R-CNN: Towards real-time object detection with region proposal networks, arXiv, 2015, arXiv: 1506.01497.
7. I.J. Goodfellow et al., Generative adversarial networks, arXiv, 2014, arXiv:1406.2661.
8. H. Wang, B. Raj, On the origin of deep learning, arXiv, 2017, arXiv:1702.07800.
9. D. Hepsiba, J. Justin, Computational intelligence for speech enhancement using deep neural network, Computer Assisted Methods in Engineering and Science, 29(1–2): 71–85, 2022, doi: 10.24423/cames.397.
10. H. Mhaskar, Q. Liao, T. Poggio, When and why are deep networks better than shallow ones?, [in:] Proceedings of the Thirty-First AAAI Conference on Artificial Intelligence, Vol. 31, No. 1, pp. 2343–2349, AAAI Press, Palo Alto, California USA, 2017.
11. S.J. Pan, Q. Yang, A survey on transfer learning, IEEE Transactions on Knowledge and Data Engineering, 22(10): 1345–1359, 2010, doi: 10.1109/TKDE.2009.191.
12. F. Yu, X. Xiu, Y. Li, A survey on deep transfer learning and beyond, Mathematics, 10(19): 3619, 2022, doi: 10.3390/math10193619.
13. S. Feng, H. Zhou, H. Dong, Using deep neural network with small dataset to predict material defects, Materials & Design, 162: 300–310, 2019, doi: 10.1016/j.matdes.2018.11.060.
14. F. Khosravikia, M. Mahsuli, M.A. Ghannad, The effect of soil–structure interaction on the seismic risk to buildings, Bulletin of Earthquake Engineering, 16: 3653–3673, 2018, doi: 10.1007/s10518-018-0314-z.
15. J. Fu, J. Liang, M.I. Todorovska, M.D. Trifunac, Soil-structure system frequency and damping: Estimation from eigenvalues and results for a 2D model in layered half-space, Earthquake Engineering and Structural Dynamics, 47: 2055–2075, 2018, doi: 10.1002/eqe.3055.
16. H. Güllü, M. Karabekmez, Effect of near-fault and far-fault earthquakes on a historical masonry mosque through 3D dynamic soil-structure interaction, Engineering Structures, 152: 465–492, 2017, doi: 10.1016/j.engstruct.2017.09.031.
17. E. Ahmadi, Concurrent effects of inertial and kinematic soil-structure interactions on strength-ductility-period relationship, Soil Dynamics and Earthquake Engineering, 117: 174–189, 2019, doi: 10.1016/j.soildyn.2018.10.043.
18. J.F. Semblat et al., Seismic wave amplification: Basin geometry vs soil layering, Soil Dynamics and Earthquake Engineering, 25(7–10): 529–538, 2005, doi: 10.1016/j.soildyn.2004.11.003.
19. S. Chopra, P. Choudhury, A study of response spectra for different geological conditions in Gujarat, India, Soil Dynamics and Earthquake Engineering, 31: 1551–1564, 2011, doi: 10.1016/j.soildyn.2011.06.007.
20. O. Deck, M.A. Heib, F. Homand, Taking the soil–structure interaction into account in assessing the loading of a structure in a mining subsidence area, Engineering Structures, 25(4): 435–448, 2003, doi: 10.1016/S0141-0296(02)00184-0.
21. E. Maciag, K. Kuzniar, T. Tatara, Response spectra of the ground motion and building foundation vibrations excited by rockbursts in the LGC region, Earthquake Spectra, 32(3): 1769–1791, 2016, doi: 10.1193/020515EQS022M.
22. K. Kuzniar, T. Tatara, Full-scale long-term monitoring of mine-induced vibrations for soil-structure interaction research using dimensionless response spectra, Case Studies in Construction Materials, 16: e00801, 2022, doi: 10.1016/j.cscm.2021.e00801.
23. T. Li, M.F. Cai, M. Cai, A review of mining-induced seismicity in China, International Journal of Rock Mechanics and Mining Sciences, 44(8): 1149–1171, 2007, doi: 10.1016/j.ijrmms.2007.06.002.
24. A.V. Lovchikov, Review of the strongest rockbursts and mining-induced earthquakes in Russia, Journal of Mining Science, 49: 572–575, 2013, doi: 10.1134/S1062739149040072.
25. M.E. Hoseny, J. Ma, W. Dawoud, D. Forcellini, The role of soil structure interaction (SSI) on seismic response of tall buildings with variable embedded depths by experimental and numerical approaches, Soil Dynamics and Earthquake Engineering, 164: 107583, 2023, doi: 10.1016/j.soildyn.2022.107583.
26. Y.E. Ibrahim, M. Nabil, Finite element analysis of multistory structures subjected to traininduced vibrations considering soil-structure interaction, Case Studies in Construction Materials, 15: e00592, 2021, doi: 10.1016/j.cscm.2021.e00592.
27. A. Mikami, J.P. Stewart, M. Kamiyama, Effects of time series analysis protocols on transfer functions calculated from earthquake accelerograms, Soil Dynamics and Earthquake Engineering, 28(9): 695–706, 2008, doi: 10.1016/j.soildyn.2007.10.018.
28. S.F. Ghahari, F. Abazarsa, O. Avci, M. Çelebi, E. Taciroglu, Blind identification of the Millikan Library from earthquake data considering soil–structure interaction, Structural Control and Health Monitoring, 23(4): 684–706, 2015, doi: 10.1002/stc.1803.
29. D. Pitilakis, M. Dietz, D.M. Wood, D. Clouteau, A. Modaressi, Numerical simulation of dynamic soil–structure interaction in shaking table testing, Soil Dynamics and Earthquake Engineering, 28(6): 453–467, 2008, doi: 10.1016/j.soildyn.2007.07.011.
30. F. Xu et al., Shaking table test on seismic response of a planar irregular structure with differential settlements of foundation, Structures, 46: 988–999, 2022, doi: 10.1016/j.istruc.2022.10.090.
31. J.E. Luco, M.D. Trifunac, H.L. Wong, Isolation of soil-structure interaction effects by fullscale forced vibration tests, Earthquake Engineering and Structural Dynamics, 16: 1–21, 1988.
32. F. Gara, M. Regni, D. Roia, S. Carbonari, F. Dezi, Evidence of coupled soil-structure interaction and site response in continuous viaducts from ambient vibration tests, Soil Dynamics and Earthquake Engineering, 120: 408–422, 2019, doi: 10.1016/j.soildyn.2019.02.005.
33. K. Kuzniar, L. Chudyba, Evaluation of the influence of some mining tremors and ground vibrations parameters on vibrations transmission from the ground to building [in Polish], [in:] Aktualne problemy wpływów sejsmicznych i parasejsmicznych na budowle, Tom II: Badania wstrząsów górniczych i drgań komunikacyjnych, K. Stypula [Ed.], Vol. 477/2, Seria Inżynieria Lądowa, Wyd. Politechniki Krakowskiej, Kraków, pp. 23–37, 2015.
34. I. Nametevs, K. Sudars, A. Dobrajs, Interpretability versus explainability: Classification for understanding deep learning systems and models, Computer Assisted Methods in Engineering and Science, 29(4): 297–356, 2022, doi: 10.24423/cames.518.
35. C.M. Bishop, Pattern Recognition and Machine Learning, Springer-Verlag, Berlin, 2006.
36. P.C. Jackson, An Introduction to Artificial Intelligence, Dover Publications, New York, 2006.
37. F. Rosenblatt, The perceptron: A probabilistic model for information storage and organization in the brain, Psychological Review, 65(6): 386–408, 1958, doi: 10.1037/h0042519.
38. S.I. Gallant, Perceptron-based learning algorithms, IEEE Transactions on Neural Networks, 1(2): 179–191, 1990, doi: 10.1109/72.80230.
39. A. Krizhevsky, Learning Multiple Layers of Features from Tiny Images, Technical Report TR-2009, University of Toronto, Toronto, Ontario, 2009.
40. O. Russakovsky et al., ImageNet large scale visual recognition challenge, arXiv, 2014, arXiv:1409.0575.
41. C. Shorten, T.M. Khoshgoftaar, A survey on image data augmentation for deep learning, Journal of Big Data, 6: 60, 2019, doi: 10.1186/s40537-019-0197-0.
42. Z. Zhou, J. Shin, L. Zhang, S. Gurudu, M. Gotway, J. Liang, Fine-tuning convolutional neural networks for biomedical image analysis: Actively and incrementally, [in:] Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition (CVPR), pp. 4761–4772, Honolulu, HI, USA, 2017, doi: 10.1109/CVPR.2017.506.
43. K. Kuzniar, T. Tatara, The ratio of response spectra from seismic-type free-field and building foundation vibrations: the influence of rockburst parameters and simple models of kinematic soil-structure interaction, Bulletin of Earthquake Engineering, 18: 907–924, 2020, doi: 10.1007/s10518-019-00734-w.
44. J.B. Allen, L.R. Rabiner, A unified approach to short-time Fourier analysis and synthesis, Proceedings of the IEEE, 65(11): 1558–1564, 1977, doi: 10.1109/PROC.1977.10770.
45. S. Scholl, Fourier, Gabor, Morlet or Wigner: Comparison of time-frequency transforms, arXiv, 2021, arXiv:2101.06707.
46. J.P. Antoine, P. Carrette, R. Murenzi, B. Piette, Image analysis with two-dimensional continuous wavelet transform, Signal Processing, 31(3): 241–272, 1993, doi: 10.1016/0165-1684(93)90085-O.
47. Transfer Learning for Deep Learning, MATLAB & Simulink, MathWorks, 2022, https://www.mathworks.com/discovery/transfer-learning.html.
48. P. Jiang, D. Ergu, F. Liu, Y. Cai, B. Ma, A review of Yolo algorithm developments, Procedia Computer Science, 199: 1066–1073, 2022, doi: 10.1016/j.procs.2022.01.135.
Published
Nov 29, 2023
How to Cite
ZAJAC, Maciej Cyprian; KUZNIAR, Krystyna. Convolutional Neural Networks in the SSI Analysis for Mine-Induced Vibrations. Computer Assisted Methods in Engineering and Science, [S.l.], v. 31, n. 1, p. 3–28, nov. 2023. ISSN 2956-5839. Available at: <https://cames.ippt.gov.pl/index.php/cames/article/view/1088>. Date accessed: 13 nov. 2024. doi: http://dx.doi.org/10.24423/cames.1088.
Section
CMM-SolMech 2022