Journal
GEOPHYSICAL JOURNAL INTERNATIONAL
Volume 157, Issue 1, Pages 315-331Publisher
BLACKWELL PUBLISHING LTD
DOI: 10.1111/j.1365-246X.2004.02214.x
Keywords
integral transforms; inverse theory; tomography; traveltime
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We derive an explicit formula relating a recovered 3-D seismic slowness image to the actual seismic slowness under the assumption that a tomographically complete collection of finite-frequency traveltime shifts is inverted using linearized ray theory. The tomographically recovered image is blunted, or diminished in amplitude, and blurred, or spread laterally, as a result of wave front healing and other finite-frequency diffraction effects. The 1-D spreading varies as the cube root of the amplitude reduction, so that total volume-integrated slowness is conserved.
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