Open AccessNumerical scheme for the inversion of acoustical impedance profile based on the Gelfand‐Levitan method
Author(s) -
Santosa Fadil
Publication year - 1982
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.1982.tb06402.x
Subject(s) - inversion (geology) , inverse problem , numerical analysis , numerical stability , mathematics , stability (learning theory) , mathematical analysis , integral equation , electrical impedance , inverse , complex plane , inverse theory , computer science , physics , surface wave , geometry , geology , optics , machine learning , quantum mechanics , paleontology , structural basin
Summary. An exact method for the solution of the inverse problem in plane wave propagation modelled after the Gelfand‐Levitan technique is reviewed and refined. A numerical scheme for the solution of the integral equation that arises in the method is proposed. A discussion on the stability and an error analysis of the numerical approximation are presented. The applicability of the inversion algorithm is demonstrated in a numerical experiment.