Open AccessA Technique of a Joint Interpretation of Travel‐Time and Ampitude—Distance Curves in the Upper Mantle Studies
Author(s) -
Asbel I Ja.,
KeilisBorok V. I.,
Yanovskaja T. B.
Publication year - 1966
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.1966.tb03491.x
Subject(s) - parametrization (atmospheric modeling) , maxima and minima , amplitude , inverse , inverse problem , travel time , mathematical analysis , interpretation (philosophy) , mathematics , inverse theory , section (typography) , geometry , geodesy , geology , physics , computer science , optics , surface wave , engineering , transport engineering , radiative transfer , programming language , operating system
Summary A technique is described for a solution of an inverse problem: given travel‐time and amplitude‐distance curves of P waves, to determine the corresponding set of velocity cross‐sections. A general outline of a solution of this inverse problem in seismology is presented. The technique of the solution is based on the mathematical procedure of searching for the area of minima of multidimensional functions. A method of preliminary parametrization of a cross‐section based upon properties of an amplitude‐distance curve is suggested. The suggested technique was tested by a numerical experiment. A velocity cross‐section was given and corresponding travel—time curve and amplitude—distance curve were computed and used as the‘initial data’for an inversion. An area of a minimum was searched for by three methods, of which the Monte Carlo method appeared to be the best. Results of the numerical experiment show that a set of velocity cross‐sections obtained by a travel‐time curve could be considerably reduced by use of amplitude‐distance curve even if it is known only very approximately.