Numerical Methods in Seismic Wave Propagation
Date
2012-10-03
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Abstract
The numerical modelling of wave equations is a common theme in many seismic
applications, and is an important tool in understanding how the physical systems
of interest react in the process of a seismic experiment. In this thesis we apply
state-of-the-art numerical methods based on domain-decomposition combined with
local pseudospectral spatial discretization, to three physically realistic models of
seismic waves, namely their propagation in acoustic, elastic, and viscoelastic media.
The Galerkin formulation solves the weak form of the partial differential equation
representing wave propagation and naturally includes boundary integral terms to
represent free surface, rigid, and absorbing boundary effects. Stability, accuracy,
and computation issues are discussed in this context along with direct comparison
with finite difference methodologies.
This works is an effort to bridge the gap between the development of accurate
physical models to represent the real world, as seen in seismic modelling, and the
implementation of modern numerical techniques for the accurate solutions of partial
differential equations.
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Keywords
Mathematics, Geophysics, Mathematics
Citation
McDonald, M. (2012). Numerical Methods in Seismic Wave Propagation (Master's thesis, University of Calgary, Calgary, Canada). Retrieved from https://prism.ucalgary.ca. doi:10.11575/PRISM/27141