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Two patterns of dynamic responses of single-free-surface slopes and their threshold height

QI Sheng-WenInstitute of Geology and Geophysics, Chinese Academy of Sciences, Beijing 100029, China  
In this paper, the dynamic responses of slopes with single surface are grouped into two classes according to their distribution patterns, one is high slope dynamic response pattern and the other is low slope dynamic response pattern. Influence factors of the threshold height (H_ thre) of the low slope response pattern and high slope response pattern are studied by dimensional analysis. The result shows that H_ thre is proportional to square root of the dynamic elastic moduli E_d/ρ, meanwhile, it is proportional to period T of the dynamic input if slope material is under the elastic condition. Combined with the elastic wave propogation theory and large quantity of numerical simulations, formula of H_ thre is derived by the statistic method. The formula tells that to a slope, if its height is larger than one fifth of the wavelength, its response will be the dynamic high slope effect. In contrary, its response will be the dynamic low slope effect.
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