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Bulletin of Engineering Geology and the Environment

Erschienen in:

17.04.2021 | Original Paper

An analytical solution of scattering of semi-circular hill on cylindrical SH waves

verfasst von: Zhiwen Li, Haibo Li

Erschienen in: Bulletin of Engineering Geology and the Environment | Ausgabe 6/2021

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Abstract

Irregular topography can induce scattering and diffraction of incident seismic waves and cause topographic amplification effects. In this paper, a theoretical model for the scattering and diffraction of cylindrical SH waves caused by a semi-circular hill is established for the first time to reveal the influence of source characteristics on the topographic amplification effects. The analytical solution of the theoretical model is derived via the wave function expansion method and image theory, and its accuracy is verified by checking the given boundary conditions. Base on the presented solution, the influences of source location, incident wave frequency, and hill radius on amplitude amplification are systematically investigated. Comparison of amplitude amplification around the hill caused by cylindrical waves and plane waves indicates that the effect of source distance on topographic amplification effects is not negligible unless the source distance exceeds 15 times the hill radius. It suggests that much attention should be paid to the effects of source location on topographic amplification effects, especially when the source is near the topography.

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Amornwongpaibun A, Lee VW (2013) Scattering of anti-plane (SH) waves by a semi-elliptical hill: II—deep hill. Soil Dyn Earthq Eng 52:126–137. https://doi.org/10.1016/j.soildyn.2012.08.006CrossRef

Boore DM (1972) A note on the effect of simple topography on seismic SH waves. Bull Seismol Soc Am 62(1):275–284. https://doi.org/10.4028/www.scientific.net/amr.378-379.789CrossRef

Cao H, Lee VW (1989) Scattering of plane SH waves by circular cylindrical canyons with variable depth-to-width ratio. Eur Earthq Eng 3(2):29–37

Cao H, Lee VW (1990) Scattering and diffraction of plane P waves by circular cylindrical canyons with variable depth-to-width ratio. Soil Dyn Earthq Eng 9(3):141–150. https://doi.org/10.1016/s0267-7261(09)90013-6CrossRef

Cavallaro A, Ferraro A, Grasso S et al (2008) Site response analysis of the Monte Po Hill in the City of Catania. In AIP Conference Proceedings. Am Inst Physics 1020(1):240–251. https://doi.org/10.1063/1.2963841CrossRef

Ferraro A, Grasso S, Maugeri M (2009) Seismic Vulnerability of a slope in Central Italy. In Proc. First International Conference on Disaster Management and Human Health. New Forest, UK 345-356. https://doi.org/10.2495/dman090301

Gao YF, Zhang N (2013) Scattering of cylindrical SH waves induced by a symmetrical V-shaped canyon: near-source topographic effects. Geophys J Int 193(2):874–885. https://doi.org/10.1093/gji/ggs119CrossRef

Gao YF, Zhang N, Li DY, Cai YQ, Wu YX (2012) Effects of topographic amplification induced by a U-shaped canyon on seismic waves. Bull Seismol Soc Am 102(4):1748–1763. https://doi.org/10.1785/0120110306CrossRef

Geli L, Bard PY, Jullien B (1988) The effect of topography on earthquake ground motion: a review and new results. Bull Seismol Soc Am 78(1):42–63. https://doi.org/10.1016/0148-9062(88)90024-1CrossRef

Hayir A, Todorovska MI, Trifunac MD (2001) Antiplane response of a dike with flexible soil-structure interface to incident SH waves. Soil Dyn Earthq Eng 21(7):603–613. https://doi.org/10.1016/s0267-7261(01)00035-5CrossRef

Hough SE, Altidor JR, Anglade D et al (2010) Localized damage caused by topographic amplification during the 2010 M 7.0 Haiti earthquake. Nature Geoscience 3(11): 778. 10.1038/ngeo988

Komatitsch D, Vilotte JP (1998) The spectral element method: an efficient tool to simulate the seismic response of 2D and 3D geological structures. Bull Seismol Soc Am 88(2):368–392. https://doi.org/10.1190/1.1820185CrossRef

Le T, Lee VW, Trifunac MD (2017) SH waves in a moon-shaped valley. Soil Dyn Earthq Eng 101:162–175. https://doi.org/10.1016/j.soildyn.2017.06.019CrossRef

Lee VW, Amornwongpaibun A (2013) Scattering of anti-plane (SH) waves by a semi-elliptical hill: I—Shallow hill. Soil Dyn Earthq Eng 52:116–125. https://doi.org/10.1016/j.soildyn.2012.08.005CrossRef

Lee VW, Cao H (1989) Diffraction of SV waves by circular canyons of various depths. J Eng Mech 115(9):2035–2056CrossRef

Lee VW, Luo H, Liang J (2006) Antiplane (SH) waves diffraction by a semicircular cylindrical hill revisited: an improved analytic wave series solution. J Eng Mech 132(10):1106–1114. https://doi.org/10.1061/(asce)0733-9399(2006)132:10(1106)CrossRef

Li H, Liu Y, Liu L et al (2019a) Numerical evaluation of topographic effects on seismic response of single-faced rock slopes. Bull Eng Geol Environ 78(3):1873–1891. https://doi.org/10.1007/s10064-017-1200-7CrossRef

Li L, Ju N, Zhang S et al (2019b) Shaking table test to assess seismic response differences between steep bedding and toppling rock slopes. Bull Eng Geol Environ 78(1):519–531. https://doi.org/10.1007/s10064-017-1186-1CrossRef

Liang J, Li FJ, Gu XL (2005a) Scattering of Rayleigh waves by a shallow circular canyon: High-frequency solution. Earthq Eng Eng Vib 25(5):24. https://doi.org/10.1007/s11589-002-0183-yCrossRef

Liang J, Zhang Y, Lee VW (2005b) Scattering of plane P waves by a semi-cylindrical hill: analytical solution. Earthq Eng Eng Vib 4:27–36. https://doi.org/10.1007/s11803-005-0021-zCrossRef

Liang J, Zhang Y, Lee VW (2006) Surface motion of a semi-cylindrical hill for incident plane SV waves: Analytical solution. Acta Seismol Sin 19(3):251–263. https://doi.org/10.1007/s11589-003-0251-yCrossRef

Lin S, Qiu FQ, Liu DK (2010) Scattering of SH waves by a scalene triangular hill. Earthq Eng Eng Vib 9(1):23–38. https://doi.org/10.1007/s11803-009-8091-yCrossRef

Massa M, Barani S, Lovati S (2014) Overview of topographic effects based on experimental observations: meaning, causes and possible interpretations. Geophys J Int 197(3):1537–1550. https://doi.org/10.1093/gji/ggt341CrossRef

Mow CC, Pao YH (1971) The diffraction of elastic waves and dynamic stress concentrations. Report R-482-PR. The Rand Corporation, Santa Monica, California.

Opršal I, Zahradník J (1999) Elastic finite-difference method for irregular grids. Geophysics 64(1):240–250. https://doi.org/10.1190/1.1444520CrossRef

Panji M, Kamalian M, Asgari MJ, Jafari MK (2014) Analysing seismic convex topographies by a half-plane time-domain BEM. Geophys J Int 197(1):591–607. https://doi.org/10.1093/gji/ggu012CrossRef

Qiu FQ, Liu DK (2005) Antiplane response of isosceles triangular hill to incident SH waves. Earthq Eng Eng Vib 4(1):37–46. https://doi.org/10.1109/spawda.2019.8681846CrossRef

Todorovska MI, Lee VW (1991) A note on scattering of Rayleigh waves by shallow circular canyons: analytical approach. Bull Indian Soc Earthquake Technol 28(2):1–16

Trifunac MD (1972) Scattering of plane SH waves by a semi-cylindrical canyon. Earthq Eng Struct Dyn 1(3):267–281CrossRef

Trifunac MD, Hudson DE (1971) Analysis of the Pacoima dam accelerogram—San Fernando, California, earthquake of 1971. Bull Seismol Soc Am 61(5):1393–1411

Tsaur DH, Chang KH (2008) An analytical approach for the scattering of SH waves by a symmetrical V-shaped canyon: shallow case. Geophys J Int 174(1):255–264. https://doi.org/10.1111/j.1365-246x.2008.03788.xCrossRef

Tsaur DH, Chang KH (2010) An analytical approach for the scattering of SH waves by a symmetrical V-shaped canyon: deep case. Geophys J Int 183(3):1501–1511. https://doi.org/10.1111/j.1365-246x.2010.04806.xCrossRef

Wong HL, Jennings PC (1975) Effects of canyon topography on strong ground motion. Bull Seismol Soc Am 65(5):1239–1257

Wong HL, Trifunac MD (1974) Scattering of plane SH waves by a semi-elliptical canyon. Earthq Eng Struct Dyn 3(2):157–169. https://doi.org/10.1002/eqe.4290030205CrossRef

Yuan XM, Liao ZP (1994) Scattering of plane SH waves by a cylindrical canyon of circular-arc cross-section. Soil Dyn Earthq Eng 13(6):407–412. https://doi.org/10.1016/0267-7261(94)90011-6CrossRef

Yuan XM, Liao ZP (1996) Surface motion of a cylindrical hill of circular—arc cross-section for incident plane SH waves. Soil Dyn Earthq Eng 15(3):189–199. https://doi.org/10.1016/0267-7261(95)00040-2CrossRef

Yuan XM, Men FL (1992) Scattering of plane SH waves by a semi-cylindrical hill. Earthq Eng Struct Dyn 21(12):1091–1098. https://doi.org/10.1002/eqe.4290211205CrossRef

Zhang N, Gao YF, Cai YQ, Li DY, Wu YX (2012a) Scattering of SH waves induced by a non-symmetrical V-shaped canyon. Geophys J Int 191(1):243–256. https://doi.org/10.1111/j.1365-246x.2012.05604.xCrossRef

Zhang N, Gao YF, Li DY, Wu YX, Zhang F (2012b) Scattering of SH waves induced by a symmetrical V-shaped canyon: a unified analytical solution. Earthq Eng Eng Vib 11(4):445–460. https://doi.org/10.1007/s11803-012-0135-zCrossRef

Zhang N, Gao YF, Yang J, Yang J, Xu CJ (2015) An analytical solution to the scattering of cylindrical SH waves by a partially filled semi-circular alluvial valley: near-source site effects. Earthq Eng Eng Vib 14(2):189–201. https://doi.org/10.1007/s11803-015-0016-3CrossRef

Titel: An analytical solution of scattering of semi-circular hill on cylindrical SH waves
verfasst von: Zhiwen Li
Haibo Li
Publikationsdatum: 17.04.2021
Verlag: Springer Berlin Heidelberg
Erschienen in: Bulletin of Engineering Geology and the Environment / Ausgabe 6/2021
Print ISSN: 1435-9529
Elektronische ISSN: 1435-9537
DOI: https://doi.org/10.1007/s10064-021-02232-3

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