Methods and Applications of Inversion

Kim E. Andersen, Martin B. Hansen (auth.), Per Christian Hansen, Bo Holm Jacobsen, Klaus Mosegaard (eds.)9783540659167, 3540659161

This collection of conference papers describes state-of-the-art methodologies and algorithms used in the treatment of inverse problems, focusing on seismology and image processing. The papers also describe new general methodologies for analysis and solution of inverse problems by means of statistical and deterministic algorithms. The book gives a glimpse of recent techniques, many of which are still under development.

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Table of contents :
Static light scattering….Pages 1-14
Thermodynamic geometry determines optimal temperature profile in distillation column….Pages 15-30
Inversion of seismic AVO data….Pages 31-41
Generalized fourier transforms and inverse scattering….Pages 42-49
Multi-step samplers for improving efficiency in probabilistic geophysical inference….Pages 50-67
Full waveform inversion of seismic data for a viscoelastic medium….Pages 68-81
Integrating surface reflection data inversion and offset-VSP modeling for imaging of converted S-waves in gulf coast hydrocarbon reservoirs….Pages 82-96
Inversion for the moment tensor and source location using Love- and Rayleigh-type waves….Pages 97-119
Resolution of Cole-Cole parameters based on induced polarization data….Pages 120-128
The resolution function in linearized born and Kirchhoff inversion….Pages 129-141
SVD analysis of a 3D inverse thermal model….Pages 142-154
Optimization tools for Tikhonov regularization of nonlinear equations using the L-curve and its dual….Pages 155-170
The PP-TSVD algorithm for image restoration problems….Pages 171-186
Smooth versus sharp Frechet kernels in time-distance helioseismology….Pages 187-202
Covariance modelling for merging of multi-sensor ocean surface data….Pages 203-216
Inversion of 2D geoelectrical data by iterated multichannel deconvolution….Pages 217-240
Image reconstruction as an inverse problem….Pages 241-254
Resolution studies of fluid flow models near the core-mantle boundary using Bayesian inversion….Pages 255-275
Inversion of GPS occultation data for atmospheric profiling….Pages 276-291
A limited memory BFGS method for an inverse problem in atmospheric imaging….Pages 292-304