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Quantification of focusing effects of the semi-spherical and semi-cylindrical synclinal basement topography on ground motion characteristics

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Abstract

The anomalous damage patterns developed by the focusing of seismic waves due to deep and shallow seated synclinal basement topography were reported during the Northridge earthquake of 1994 and the Nisqually earthquake of 2001, respectively. This paper presents the role of sediment velocity, depth and geometry of the basement topography in basement focusing effects on ground motion characteristics. An increase of amplitude of the mode converted and the diffracted waves with an increase of impedance contrast and curvature of the basement topography was inferred. It is concluded that the basement focusing effect is unaffected by the change of focal length due to the change of either sediment velocity or radius of curvature for a fixed chord length in the absence of sediment damping. Further, under a favourable condition, the focusing of multiples of the transmitted waves may cause much larger amplitude amplification than that caused by the focusing of the transmitted wave itself. Extensive spatial variations in ground motion level were obtained with the change of depth and chord length of the basement topography. A comparative analysis of the responses of semi-spherical basement topography (3D) and semi-cylindrical basement topography (2D) strongly suggests that 1D or 2D response of an area underlain by a 3D depression should not be used in predicting the ground motion.

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References

  • Alex CM, Olsen KB (1998) Lens effect in Santa Monica? Geophys Res Lett 25:3441–3444

    Article  Google Scholar 

  • Baher SA, Davis PM (2003) An application of seismic tomography to basin focusing of seismic waves and Northridge earthquake damage. J Geophys Res 108:22-1–22-17

    Google Scholar 

  • Booth DB, Wells RE, Givler RW (2004) Chimney damage in the greater Seattle area from the Nisqually earthquake of 28 February 2001. Bull Seismol Soc Am 94:1143–1158

    Article  Google Scholar 

  • Born M, Wolf E (1980) Principles of optics. Pergamon, New York

    Google Scholar 

  • Davis PM, Justin L, Rubinstein KH, Liu SS, Knopoff GL (2000) Northridge earthquake damage caused by geologic focusing of seismic waves. Science 289:1746–1750

    Article  Google Scholar 

  • Emmerich H, Korn M (1987) Incorporation of attenuation into time-domain computations of seismic wave fields. Geophysics 52:1252–1264

    Article  Google Scholar 

  • Frankel A, Stephenson W, Carver D (2009) Sedimentary basin effects in Seattle, Washington: ground-motion observations and 3D simulations. Bull Seismol Soc Am 99:1579–1611

    Article  Google Scholar 

  • Gao S, Liu H, Davis PM, Knopoff GL (1996) Localized amplification of seismic waves and correlation with damage due to the Northridge earthquake. Bull Seismol Soc Am 86:S209–S230

    Google Scholar 

  • Hartzell S, Cranswick E, Frankel A, Carver D, Meremonte M (1997) Variability of site response in the Los Angeles urban area. Bull Seismol Soc Am 87:1377–1400

    Google Scholar 

  • Israeli M, Orszag SA (1981) Approximation of radiation boundary conditions. J Comput Phys 41:115–135

    Article  Google Scholar 

  • Kristek J, Moczo P (2003) Seismic wave propagation in viscoelastic media with material disconuties—a 3 D 4th order staggered grid finite difference modeling. Bull Seismol Soc Am 93:2273–2280

    Article  Google Scholar 

  • Kumar S, Narayan JP (2008) Implementation of absorbing boundary conditions in a 4th order accurate SH-wave staggered grid finite difference program with variable grid size. Acta Geophys 56:1090–1108

    Article  Google Scholar 

  • Marcuse D (1982) Light transmission optics In Van Nostrand Reinhold (ed) New York, p 2.

  • McDonal FJ, Angona FA, Mills RL, Sengbush RL, Van Nostrand RG, White JE (1958) Attenuation of shear and compressional waves in Pierre shale. Geophysics 23:421–439

    Article  Google Scholar 

  • Moczo P, Bystricky E, Kristek J, Carcione JM, Bouchon M (1997) Hybrid modelling of P-SV seismic motion at inhomogeneous viscoelastic topographic structures. Bull Seismol Soc Am 87:1305–1323

    Google Scholar 

  • Narayan JP, Kumar S (2008) A 4th order accurate SH-wave staggered grid finite-difference program with variable grid size and VGR-stress imaging technique. Pure Appl Geophys 165:271–294

    Article  Google Scholar 

  • Narayan JP, Kumar V (2012) Numerical study of effects of synclinal basement topography on ground motion characteristics (Paper No. 3144), Proc. of 15th World Conference on Earthquake Engineering (15WCEE), Lisbon, September 24–28

  • Narayan JP, Kumar V (2013) A fourth-order accurate finite-difference program for the simulation of SH-wave propagation in heterogeneous viscoelastic medium. Geofizika 30:173–189

    Google Scholar 

  • Narayan JP, Kumar V (2014) P-SV wave time-domain finite-difference algorithm with realistic damping and a combined study of effects of sediment rheology and basement focusing. Acta Geophys 62:1214–1245

    Article  Google Scholar 

  • Narayan JP, Sahar D (2014) 3D viscoelastic finite difference code and modeling of basement focusing effects on ground motion characteristics. Comput Geosci 18:1023–1047. doi:10.1007/s10596-014-9442-y

    Article  Google Scholar 

  • Olsen KB (2000) Site amplification in the Los Angeles basin from 3D modelling of ground motion of ground motion. Bull Seismol Soc Am 90:S77–S94

    Article  Google Scholar 

  • Stephenson WJ, Frankel AD, Odum JK, Williams RA, Pratt TL (2006) Towards resolving an earthquake ground motion mystery in western Seattle, Washington State: shallow seismic focusing may cause anomalous chimney damage. Geophys Res Lett 33, L06316. doi:10.1029/2005GL025037

    Article  Google Scholar 

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Acknowledgments

The second author is grateful to the Ministry of Earth Sciences, New Delhi, for financial assistance through Grant Number MES-484-EQD.

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Correspondence to J. P. Narayan.

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Sahar, D., Narayan, J.P. Quantification of focusing effects of the semi-spherical and semi-cylindrical synclinal basement topography on ground motion characteristics. J Seismol 20, 167–183 (2016). https://doi.org/10.1007/s10950-015-9518-8

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  • DOI: https://doi.org/10.1007/s10950-015-9518-8

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