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Title

SPECTRAL ELEMENT SIMULATION OF ELASTIC WAVE PROPAGATION WITH ABSORBING BOUNDARY CONDITIONS

Pages

 Start Page | End Page

Keywords

ABSORBING BOUNDARY CONDITION (ABC) 

Abstract

 SPECTRAL ELEMENT METHOD (SEM) PROVIDES AN INNOVATIVE NUMERICAL APPROACH TO THE CALCULATION OF SYNTHETIC SEISMOGRAMS. DUE TO FLEXIBILITIES IN COMPLEX GEOLOGICAL MODELS HANDLING AND APPLYING BOUNDARY CONDITIONS, WE USE SPECTRAL ELEMENT METHOD FOR ELASTIC WAVE PROPAGATION MODELING.THIS APPROACH IS BASED ON WEAK FORMULATION OF THE EQUATION OF MOTION OF CONTINUUM MEDIA, AND SOLVES THE EQUATION ON A MESH OF ELEMENTS. THE WAVE FIELD IS DISCRETIZED ON THE ELEMENTS USING HIGH-DEGREE LAGRANGE INTERPOLATION AND INTEGRATION OVER AN ELEMENT IS COMPUTED BASED UPON THE GAUSS-LOBATTO-LEGENDRE INTEGRATION RULE. THIS COMBINATION OF DISCRETIZATION AND INTEGRATION LEADS TO DIAGONAL MASS MATRIX, WHICH GREATLY REDUCES COMPUTATIONS.WE APPLIED BOTH THE FIRST-ORDER AND THE SECOND-ORDER ABSORBING BOUNDARY CONDITIONS (ABC) IN THE FREQUENCY-DOMAIN. THE QUALITY OF THE SECOND-ORDER ABC IS BETTER THAN THE FIRST-ORDER ABC WHEN A HIGHER ORDER INTERPOLATION POLYNOMIAL IS USED.

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