Frequency-Domain Modeling Techniques for the Scalar Wave Equation : An Introduction

Frequency-domain finite-difference (FDFD) modeling offers several advantages over traditional timedomain methods when simulating seismic wave propagation, including a convenient formulation within the context of wavefield inversion and a straight-forward extension for adding complex attenuation me...

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Bibliographic Details
Main Author: Ajo-Franklin, Jonathan B.
Other Authors: Massachusetts Institute of Technology. Earth Resources Laboratory
Published: Massachusetts Institute of Technology. Earth Resources Laboratory 2011
Online Access:http://hdl.handle.net/1721.1/67878
Description
Summary:Frequency-domain finite-difference (FDFD) modeling offers several advantages over traditional timedomain methods when simulating seismic wave propagation, including a convenient formulation within the context of wavefield inversion and a straight-forward extension for adding complex attenuation mechanisms. In this short paper we introduce the FDFD method, develop a simple solver for the scalar Helmholtz problem, and explore some possible approaches for solving large scale seismic modeling problems in the frequency domain.