Earthquake Engineering and Engineering Vibration

, Volume 17, Issue 4, pp 707–718 | Cite as

A note on near-field site amplification effects of ground motion from a radially inhomogeneous valley

  • Ning Zhang
  • Yufeng GaoEmail author
  • Yongxin Wu
  • Fei Zhang


To improve the understanding of the near-field soil and topographic amplification effects, an analytical solution by the authors for the scattering of plane SH waves by a radially inhomogeneous semi-cylindrical valley is extended to the case of a line source of cylindrical SH waves. Upon confirmation of its accuracy with past exact solutions for a homogeneous and an inhomogeneous semi-cylindrical valley under far-field plane SH waves, the extended solution is used to calculate the ground motion amplification factors for both the homogeneous and inhomogeneous valleys subjected to near-field waves. A comprehensive parametric study is conducted with respect to the location of the wave source, the dimensionless frequency of the incident waves, and the inhomogeneity degree of the covering soil layer. It is found that more amplifications and reductions of ground motions will occur within a certain range in and around the valley as the sources are located further. Consistent with the far-field case, it is confirmed that an increase of the degree of inhomogeneity of the covering soil layer generally amplifies the ground motions significantly.


elastic SH-waves wave scattering and diffraction ground motion amplification valley canyon 


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This work was supported by the Fundamental Research Funds for the Central Universities (Grant No. 2018B14014), the National Natural Science Foundation of China (Grant No. 51608172, 41630638 and 51479050), the National Key Basic Research Program of China (“973” Program, Grant No. 2015CB057901), the National Key Research and Development Program of China (Grant No. 2016YFC0800205), the Public Service Sector R&D Project of Ministry of Water Resource of China (Grant No. 201501035-03), and the 111 Projects (Grant No. B13024).


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Copyright information

© Institute of Engineering Mechanics, China Earthquake Administration and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  • Ning Zhang
    • 1
    • 2
  • Yufeng Gao
    • 1
    • 2
    Email author
  • Yongxin Wu
    • 2
  • Fei Zhang
    • 1
    • 2
  1. 1.Key Laboratory of Ministry of Education for Geomechanics and Embankment EngineeringHohai UniversityNanjingChina
  2. 2.College of Civil and Transportation EngineeringHohai UniversityNanjingChina

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