A Volterra series approach to nonlinear traveltime tomography

Author

Tsihrintzis, George A. ; Devaney, Anthony J.

Author_Institution

Dept. of Inf., Piraeus Univ., Greece

Volume

38

Issue

4

fYear

2000

fDate

7/1/2000 12:00:00 AM

Firstpage

1733

Lastpage

1742

Abstract

Nonlinear tomographic reconstruction algorithms are developed for inversion of traveltime measurements in scattering experiments in which data models are derived from an arbitrarily large (possibly infinite) number of terms in the perturbation solution to the ray or eikonal equations. The algorithms attain the form of a Volterra series of nonlinear operators, with the usual linear reconstruction algorithm of traveltime tomography as the leading term. A computer simulation study is included to illustrate the performance of the algorithms for the case of scattering objects with cylindrical symmetry

Keywords

geophysical prospecting; geophysical techniques; inverse problems; seismology; Volterra series; cylindrical symmetry; data model; eikonal equations; exploration; explosion seismology; geophysical measurement technique; inversion; linear reconstruction algorithm; nonlinear traveltime tomography; perturbation solution; prospecting; ray equations; scattering; tomographic reconstruction algorithm; traveltime measurements; Acoustic scattering; Diffraction; Electromagnetic scattering; Inverse problems; Nonlinear equations; Optical refraction; Optical scattering; Reconstruction algorithms; Tomography; X-ray scattering;

fLanguage

English

Journal_Title

Geoscience and Remote Sensing, IEEE Transactions on

Publisher

ieee

ISSN

0196-2892

Type

jour

DOI

10.1109/36.851972

Filename

851972