Abstract
A numerical hybrid method was developed to model elastic wave propagation.This algorithm was implemented with both the pseudo-spectrumand the finite-element methods.The pseudo-spectrum is currently a popularnumerical method in earthquake seismology studies due to its high efficiencyand accuracy.On the other hand,its most significant drawback isthe difficulty of implementing a free surface or absorption boundary owingto the nature of its periodic boundary.In addition,since the grid spacemust be defined globally within a model to prevent grid dispersion dependingon the region of strong velocity contrasts,computations may becomevery expensive.However,these drawbacks can be overcome with a hybridof the pseudo-spectrum and the finite-element techniques.With the implementationbased on the finite-element formulation,grid spacing can be determinedaccording to local velocity within a velocity model.In so doing,the coding of the boundary conditions becomes much easier as well.Theadvantages of this proposed hybrid method consist of both reducing theamount of computational time and memory needed and obtaining both accurateand stable results during calculation.Some examples are shown todemonstrate the advantages of the hybrid method.This method can also beeasily expanded to 3-D situations with minor modifications.
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