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Describes a nonlinear tomographic reconstruction algorithm developed for inversion of traveltime measurements that rely on perturbations of the straight line ray wave propagation model. Definition of the nonlinear data-generating models for traveltime tomography; Volterra expansions considered; Examination of the nonlinear tomographic inversion of traveltime data; Computer simulation of the nonlinear inversion algorithms.

We revisit geophysical diffraction tomography (GDT) and cast it into a stochastic framework, in which the geophysical formation to be imaged is modeled as a realization of a two-dimensional stationary random process. it is shown that the optimum reconstruction algorithm, in both the cases of offset vertical seismic profiling and well-to-well probing, attains a modified filtered backpropagation form. [ABSTRACT FROM AUTHOR]