Open AccessInversion of the travel‐time curve of a reflected wave
Author(s) -
Geyko V. S.
Publication year - 1981
Publication title -
geophysical journal of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0016-8009
DOI - 10.1111/j.1365-246x.1981.tb06934.x
Subject(s) - inversion (geology) , inverse theory , travel time , continuation , inverse problem , geology , mathematical analysis , inverse , geodesy , mathematics , geometry , geophysics , optics , surface wave , physics , seismology , computer science , engineering , transport engineering , tectonics , programming language
Summary. A general theory of inversion of the reflected travel‐time curve is developed. The properties of the travel‐time curve and its analytical continuation are examined. The inversion formulae are presented and the structure of the set of velocity—depth functions is studied in detail. The inverse problem or a finite number of reflectors and the problem of separation of the reflected and multiple travel‐time curves are both considered.