文章基本信息

标题：Ground motions around a semi-circular valley partially filled with an inclined alluvial layer under SH-polarized excitation
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作者：Kao-Hao Chang ; Deng-How Tsaur ; Jeen-Hwa Wang 等
期刊名称：Earth, Planets and Space
电子版ISSN：1880-5981
出版年度：2014
卷号：66
期号：1
页码：1-18
DOI：10.1186/1880-5981-66-53
出版社：Springer Verlag
摘要：A simplified mathematical model, composed of a semi-circular valley partially filled with an inclined alluvial layer under plane SH-wave incidence, is presented.To evaluate the site response theoretically, a rigorous series solution is derived via the region-matching technique.For angular wavefunctions constrained by an inclined free surface, the original form of Graf's addition formula is recast to arbitrarily shift the local coordinate system.The valley geometry, filling material, angle of incidence, and wave frequency are taken as significant parameters in exploring the site effect on ground motions.Also included are the frequency- and time-domain computations.Two canonical cases, the semi-circular vacant canyon and the fully filled semi-circular alluvial valley, with exact analytical solutions, and the partly horizontally filled case previously studied, are taken to be particular cases of the proposed general model.Steady-state results show that the peak amplitudes of motion may increase at low frequencies when the filling layer inclines to the illuminated region.At low-grazing incidence, the phenomenon of wave focusing becomes evident on the shadow side of the filling layer.Transient-state simulations elucidate how a sequence of surface waves travel on the topmost alluvium along opposite directions and interfere with multiple reflected waves within the filling layer.
关键词：Ground motions ;Scattering ;SH waves ;Partially filled valley