Abstract
In this chapter, we present a full waveform tomographic method based on a special data reduction scheme. This is intended to overcome the high numerical cost of a full waveform inversion with large data sets. Most numerical methods used to solve the forward problem in seismology allow us to trigger several sources at the same time within one simulation with no incremental numerical cost. Doing so, the resulting synthetic seismograms are the sum of seismograms from each individual source for a common receiver and a common origin time, with no possibility to separate them afterwards. The summed synthetic seismograms are not directly comparable to data, but using the linearity of the problem with respect to seismic sources, we can sum all data for a common station and a common zero time, and we perform the same operation on synthetics. Using this data reduction scheme substantially reduces the computational requirements because we can model the complete data set with one single forward simulation, instead of requiring as many simulations as there are events.
Written by Yann Capdeville, Institut de Physique du Globe, Équipe de Sismologie, Paris, France
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Fichtner, A. (2011). Source Stacking Data Reduction for Full Waveform Tomography at the Global Scale. In: Full Seismic Waveform Modelling and Inversion. Advances in Geophysical and Environmental Mechanics and Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15807-0_15
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DOI: https://doi.org/10.1007/978-3-642-15807-0_15
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