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Time domain waveform inversion—A frequency domain view: How well we need to match waveforms?

ENSCO, INC., 5400 PORT ROYAL ROAD, SPRINGFIELD, VIRGINIA 22151
DEPARTMENT OF STATISTICS UNIVERSITY OF CALIFORNIA AT DAVIS, DAVIS, CALIFORNIA

Abstract

Waveform modeling in the time domain matches the various frequency components of seismic signals unevenly; the agreement is better at low frequencies and becomes progressively worse towards higher frequencies. The net effect of this kind of time-domain modeling is that the resolution in the spatial details of the source is less than optimal since the high-frequency components of the signal with their short wavelengths to resolve finer details do not fit the data. These problems are demonstrated by numerical simulations and by the reanalysis of some aspects of the El Golfo earthquake in using a new seismic imaging technique based on a generalization of an f-k algorithm. This procedure computes a statistic that can be used to derive confidence limits of the parameters sought in the inversion, thus providing a quantitative measure of the uncertainties in the results.