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JOURNAL OF GEOPHYSICAL RESEARCH,
VOL. 99, NO. B10,
PAGES 19,635–19,646,
1994
Initial reference models in local earthquake tomography
E. Kissling
W. L. Ellsworth
D. Eberhart-Phillips
U. Kradolfer
Abstract
The inverse problem of three-dimensional (3-D) local earthquake tomography is formulated as a linear approximation to a nonlinear
function. Thus the solutions obtained and the reliability estimates depend on the initial reference model. Inappropriate models
may result in artifacts of significant amplitude. Here, we advocate the application of the same inversion formalism to determine
hypocenters and one-dimensional (1-D) velocity model parameters, including station corrections, as the first step in the 3-D
modeling process. We call the resulting velocity model the minimum 1-D model. For test purposes, a synthetic data set based
on the velocity structure of the San Andreas fault zone in central California was constructed. Two sets of 3-D tomographic
P velocity results were calculated with identical travel time data and identical inversion parameters. One used an initial
1-D model selected from a priori knowledge of average crustal velocities, and the other used the minimum 1-D model. Where
the data well resolve the structure, the 3-D image obtained with the minimum 1-D model is much closer to the true model than
the one obtained with the a priori reference model. In zones of poor resolution, there are fewer artifacts in the 3-D image
based on the minimum 1-D model. Although major characteristics of the 3-D velocity structure are present in both images, proper
interpretation of the results obtained with the a priori 1-D model is seriously compromised by artifacts that distort the
image and that go undetected by either resolution or covariance diagnostics.
Accepted 4
November
1993;
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Citation: Kissling, E., W. L. Ellsworth, D. Eberhart-Phillips, and U. Kradolfer
(1994),
Initial reference models in local earthquake tomography,
J. Geophys. Res.,
99(B10),
19,635–19,646.
Copyright 1994 by the American Geophysical Union.
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