Numerical Viscoelastic Modeling by Spectral Laguerre Method

P005 NUMERICAL VISCOELASTIC MODELING BY SPECTRAL LAGUERRE METHOD 1 Summary The wave propagation in real media can be described within the theory of linear viscoelasticity. The presence of a convolutional integral in Boltzmann's superposition principle involves the main difficulties in implementing the direct numerical methods in the time domain. The paper presents an efficient algorithm based on the application of the spectral Laguerre method for approximation of temporal derivatives and convolution as applied to the problem of seismic wave propagation in the heterogeneous viscoelastic medium. Introduction The paper presents the new efficient algorithm based on the application of the spectral