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On the inversion of travel times
Author(s) -
Garmany Jan
Publication year - 1979
Publication title -
geophysical research letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.007
H-Index - 273
eISSN - 1944-8007
pISSN - 0094-8276
DOI - 10.1029/gl006i004p00277
Subject(s) - slowness , travel time , inversion (geology) , geodesy , geology , inverse , linearity , function (biology) , mathematical analysis , mechanics , mathematics , physics , geometry , seismology , tectonics , quantum mechanics , evolutionary biology , biology , transport engineering , engineering
In a vertically heterogeneous medium in which velocity increases with depth, the delay time function and, consequently, the distance and travel time functions are related linearly to depth as a function of slowness. Since all travel time inversions using surface measurements of travel time and distance require the removal of the effects of low velocity zones, we may assume this linearity always holds. The highly developed theory of linear inversion is thus applicable to the inverse travel time problem.