Numerical modeling of the attenuation of Rayleigh surface waves by a pile barrier
DOI:
https://doi.org/10.55287/22275398_2026_58_121Keywords:
Rayleigh surface waves, pile barrier, numerical modeling, wave screening, finite element modeling, vibration protection, seismic protection, geotechnics, density contrastAbstract
This paper presents a numerical simulation of the attenuation of Rayleigh surface waves by a localized pile barrier in a linear elastic medium. The simulation was performed in a quasi-three-dimensional formulation using the SIMULIA Abaqus software package and explicit time integration methods for the equations of motion. Cases with different pile material densities and unchanged elastic properties were considered, which made it possible to assess the effect of density contrast on the wave field propagation pattern. The analysis was carried out using time histories of vertical displacements at a control point and spatial distributions of displacement magnitude in the near-surface zone. It was found that the presence of a pile barrier leads to a reduction in vibration amplitude in the region behind the obstacle and causes a phase delay of the signal compared with a homogeneous medium. It is shown that a heavy pile predominantly acts as a reflecting element, forming an interference zone in front of the barrier, whereas a light pile provides more pronounced attenuation due to wave energy trapping, scattering, and re-radiation. It is concluded that a pile with a lower density relative to the surrounding medium is more effective for vibration and seismic protection of soils, foundations, and equipment.
References
1. Pshenichkina, V.A., Ivanov, S.Yu., Rekunov, S.S., & Churakov, A.A. (2025). Otsenka nadezhnosti sistemy «sooruzhenie–mnogosloynoe osnovanie» s uchetom zhestkosti, moshchnosti i konfiguratsii sloev. Vestnik MGSU, 20(6), 888–898. https://doi.org/10.22227/1997-0935.2025.6.888-898
2. Kurbanmagomedov, A.K., Akatyev, S.V., Starodubtsev, V.V., Dikova, E.V., & Musaev, A.V. (2025). Postanovka desyatietazhnogo zdaniya s podvalom i osnovaniem pri udarnykh, vzryvnykh i seysmicheskikh volnovykh vozdeystviyakh. Sistemnye tekhnologii, 4(57), 18–27. https://doi.org/10.48612/dnitii/2025_57_18-27
3. Pshenichkina, V.A., Ivanov, S.Yu., Rekunov, S.S., & Churakov, A.A. (2025). Vliyanie sootnosheniya zhestkostey zdaniya i mnogosloynogo gruntovogo osnovaniya na seysmicheskiy otklik sistemy. Vestnik MGSU, 20(2), 231–245. https://doi.org/10.22227/1997-0935.2025.2.231-245
4. Nuzhdin, L.V., & Mikhaylov, V.S. (2023). Chislennyy raschet svaynogo polya s uchetom dinamicheskikh vozdeystviy. Construction and Geotechnics, 14(2), 22–36. https://doi.org/10.15593/2224-9826/2023.2.02
5. Alielahi, H., Nadernia, Z., & Entezari, M.M. (2023). A numerical study on effect of underground cavities on seismic ground response due to Rayleigh wave propagation. SN Applied Sciences, 5(2), 64. https://doi.org/10.1007/s42452-023-05283-1
6. Agakhanov, E.K., Agakhanov, M.K., & Trufanova, E.V. (2023). Modelirovanie povedeniya bolsheproletnogo unikalnogo sooruzheniya pri dinamicheskom vozdeystvii. Sistemnye tekhnologii, 4(49), 17–24. https://doi.org/10.55287/22275398_2023_4_17
7. Karabaeva, M.U. (2023). Rasprostranenie vibratsii zheleznodorozhnogo dvizheniya pri raspolozhenii polotna vyshe poverkhnosti okruzhayushchey mestnosti. Mekhanika i tekhnologiya, 4(13), 58–65.
8. Chen, X., Wang, Y., Meng, F., Xie, K., Yi, L., & Zheng, Y. (2023). Isolation effect analysis of periodic pile barriers for Rayleigh waves using complex band diagram. Computers and Geotechnics, 158, 105370. https://doi.org/10.1016/j.compgeo.2023.105370
9. Kuznetsov, S.V. (2012). Seismic waves and seismic barriers. International Journal for Computational Civil and Structural Engineering, 8(1), 87–95. https://doi.org/10.31857/S057232992106009X
10. Morozov, N.F., Bratov, V.A., & Kuznetsov, S.V. (2021). Seismic barriers for protection against surface and head waves: multiple scatterers and metamaterials. Mechanics of Solids, (6), 33–44.
11. Saiyan, S.G. (2025). Modelirovanie rasprostraneniya delta-impulsa cherez seysmicheskiy baryer iz bimodulnogo materiala. Nauchnyy zhurnal stroitelstva i arkhitektury, 4(80), 91–103. https://doi.org/10.36622/2541-7592.2025.80.4.009
12. Saiyan, S.G. (2025). Ispolzovanie integro-differentsialnykh uravneniy dlya modelirovaniya rasprostraneniya seysmicheskikh voln cherez baryer s effektom pamyati. Vestnik MGSU, 20(10), 1495–1507. https://doi.org/10.22227/1997-0935.2025.10.1495-1507
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