Title :
A Volterra series approach to nonlinear traveltime tomography
Author :
Tsihrintzis, George A. ; Devaney, Anthony J.
Author_Institution :
Dept. of Inf., Piraeus Univ., Greece
fDate :
7/1/2000 12:00:00 AM
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;
Journal_Title :
Geoscience and Remote Sensing, IEEE Transactions on
