Authors: ChengXuan Che XiuMing Wang WeiJun Lin
Publish Date: 2010/07/14
Volume: 7, Issue: 2, Pages: 174-184
Abstract
Based on strong and weak forms of elastic wave equations a Chebyshev spectral element method SEM using the Galerkin variational principle is developed by discretizing the wave equation in the spatial and time domains and introducing the preconditioned conjugate gradient PCGelement by element EBE method in the spatial domain and the staggered predictor/corrector method in the time domain The accuracy of our proposed method is verified by comparing it with a finitedifference method FDM for a homogeneous solid medium and a double layered solid medium with an inclined interface The modeling results using the two methods are in good agreement with each other Meanwhile to show the algorithm capability the suggested method is used to simulate the wave propagation in a layered medium with a topographic traction free surface By introducing the EBE algorithm with an optimized tensor product technique the proposed SEM is especially suitable for numerical simulation of wave propagations in complex models with irregularly free surfaces at a fast convergence rate while keeping the advantage of the finite element methodChe Chengxuan received his master degree in Geodetection and Information Technology from Northeast Petroleum University in 2007 He is currently a PhD student majoring in reservoir acoustic characterizations and borehole exploration in Institute of Acoustics Chinese Academy of Sciences His research interests include numerical simulation of seismic waves numerical simulation and experimental measurement of production welllogging
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