HR: 1340h
AN: S23B-1386 [Abstracts]
TI: A New Technique for Assessing Velocity Uncertainty in Seismic Refraction Tomography
AU: * Averill, M G
EM: Matthew.Averill@anadarko.com
AF: Anadarko Petroleum Corporation, 1201 Lake Robbins Drive, The Woodlands, TX 77429,
United States
AU: Velasco, A A
EM: velasco@geo.utep.edu
AF: University of Texas at El Paso, 500 W. University Avenue, El Paso, TX 79968, United States
AU: Kreinovich, V Y
EM: vladik@utep.edu
AF: University of Texas at El Paso, 500 W. University Avenue, El Paso, TX 79968, United States
AU: Miller, K C
EM: miller@geo.utep.edu
AF: University of Texas at El Paso, 500 W. University Avenue, El Paso, TX 79968, United States
AB:
Travel-time sensitivity testing uses perturbation of the travel-time data to assess the uncertainty in velocities due
to error in the data. Current implementations of this technique provide a qualitative assessment of the reliability
of velocities in different regions of the model, but do not provide reasonable values to quantitatively assess the
velocity uncertainty. Standard techniques assume independence in the travel-time error (i.e., a Gaussian
distribution). For this study, we have developed a technique utilizing the properties of a Cauchy distribution, which
considers the more likely case of error dependence in first arrival travel-time picks.
Our results show that by assuming independence (Gaussian distribution) in the travel-time errors, the RMS
differences (i.e., the velocity uncertainty) in our model are, in general, unrealistically small. This suggests that
either our model is not sensitive to travel-time errors less than 150 ms or that our assumption of error
independence is not appropriate for travel-time errors. By using a Cauchy or "weighted-tail" distribution to
generate random travel-time perturbations, we are able to simulate error dependence in our travel-time picks.
This allows us to consider the sensitivity in our model to the "worst-case" error in travel-time picking.
By considering a 95% confidence interval for the Cauchy distribution, we were able to develop a new
"geophysically meaningful" velocity uncertainty model. Using a 95% confidence interval maintains the basic
"worst-case" characteristic, while removing the upper 5%, of the Cauchy distribution. This would essentially
correspond to not accounting for the "worst" or most uncertain 5% of your travel-time picks. Given that arrivals
with the lowest signal-to-noise ratios are generally ignored or not "picked", we can assume that the remaining
picks lie within the 95% confidence level of error.
When we consider this more realistic, dependent, distribution of error in the travel-time picks, we are able to show
a strong correlation between ray coverage and velocity error. In turn, this method provides a valuable new tool for
directly assessing the uncertainties in tomographic velocity model.
DE: 6982 Tomography and imaging (7270, 8180)
DE: 7270 Tomography (6982, 8180)
DE: 8180 Tomography (6982, 7270)
SC: Seismology [S]
MN: 2007 Fall Meeting