Generalized Born inversion of seismic reflection data

Inversion of seismic reflection data in the acoustic approximation

The nonlinear inverse problem for seismic reflection data is solved in the acoustic approximation. The method is based on the generalized least-squares criterion, and it can handle errors in the data set and a priori information on the model. Multiply reflected energy is naturally taken into account, as well as refracted energy or surface waves. The inverse problem can be solved using an iterat...

Generalized Definitional Reflection and the Inversion Principle

The term inversion principle goes back to Lorenzen who coined it in the early 1950s. It was later used by Prawitz and others to describe the symmetric relationship between introduction and elimination inferences in natural deduction, sometimes also called harmony. In dealing with the invertibility of rules of an arbitrary atomic production system, Lorenzen’s inversion principle has a much wider...

Full waveform inversion of reflection seismic data for ocean temperature profiles

[i] We show that ocean temperature profiles can be accurately recovered using only acoustic methods employed at the sea surface. Using a towed air gun array and a hydrophone streamer, thermohaline boundaries are ensonified at a suite of frequencies and angles, yielding travel time trajectories and reflectivities. These data are inverted via full waveform inversion to estimate sound speed and, s...

Bi-objective optimization for the inversion of seismic reflection data: Combined FWI and MVA

The inversion of seismic reflection data is challenging due to the oscillatory nature of the seismic data, the nonlinear relation between the data and the Earth’s model parameters, and the relative sensitivity of the different subsets of the data to the model parameters. Full-waveform inversion solves this inverse problem in the data space but is known to have shortcomings, especially because o...

Pre-stack full waveform inversion of ultra-high-frequency marine seismic reflection data