The dyanmic analysis of gravity dam-layered foundation interaction based on a high-order doubly asymptotic open boundary

The high-order doubly asymptotic open boundary in the time domain is capable of accurately modeling traveling and evanescent waves in layered medium with high computational accuracy and efficiency. In this paper, the high-order doubly asymptotic open boundary is extended to the analysis of elastic wave propagation in a semi-infinite multiple layered foundation systems. The numerical stability of this open boundary is analyzed by the generalized eigenvalue decomposition. Possible spurious modes are eliminated by using the spectral shifting technique. Embedding the high-order doubly asymptotic open boundary as a super element into the near-field finite element equation, a time-domain coupled analysis model is established. This model is applied to the analysis of dynamic gravity dam-layered foundation interaction. Numerical results demonstrate that this proposed model is of high accuracy and efficiency and applicable to seismic response analysis of real gravity dams.