Abstract
While using Fourier Bessel series expansion technique and the coordinate conversion of Graf's addition formula, an analytical solution for the scattering of non concentric arc layered alluvial ancient rivers subjected to plane primary waves was derived. Then the precision of numerical results were checked up and analyzed. Finally, by using the analytic solution, the surface displacement caused by a various thickness covering layer was analyzed under different dimensionless frequency and incident angle. The analysis results show that the crest value of ground displacement is mostly near the ancient river, outside of vertical displacement at vertical incidence which occurred far from the ancient river of incident distal. The various cover thickness have a significant influence on surface displacement. The crest value of ground displacement of non concentric valley is higher than the concentric one at higher frequency incidence in general.
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