Journal
GEOPHYSICAL JOURNAL INTERNATIONAL
Volume 217, Issue 2, Pages 1232-1260Publisher
OXFORD UNIV PRESS
DOI: 10.1093/gji/ggz083
Keywords
Earthquake ground motions; Theoretical seismology; Wave propagation; Wave scattering and diffraction
Categories
Funding
- National Natural Science Foundation of China [51608172, 41630638]
- Fundamental Research Funds for the Central Universities [2018B14014]
- National Key Basic Research Program of China ('973Program) [2015CB057901]
- '333 Projects of Jiangsu Province [BRA2015312]
- 111 Projects [B13024]
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An analytical treatment of the seismic response of a cylindrical canyonwith a radially piecewise inhomogeneous arbitrary multilayered profile to a finite depth on a homogeneous half-space under obliquely incident plane SH waves is presented. In terms of a radial wave function expansion and a transfer matrix approach, a rigorous approach is formulated for general computation for the elastodynamic plane problem. Upon confirmation of its accuracy with past exact solutions for a canyon covered by a single surficial layer with a homogeneous and a power-law modulus variation by suitable depth-wise discretization, the proposed solution is extended to the case of a canyon covered by a discretely inhomogeneous surficial zone containing three power-law layers as well as the case of a canyon covered by a continuously inhomogeneous surficial zone with a three-parameter exponential shear wave velocity model as a generalized class of smooth in situ variations. A comprehensive set of numerical examples are presented to illustrate the sensitivity of the ground motion to the canyon geometry, the inhomogeneity profile of the top zone, the frequency content and the angle of the seismic wave incidence.
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