Geographic spaces is a vast and complex system involving multiple elements and nonlinear
interactions of these elements, and rich in geographical phenomena, processes and …

The physics that describes the seismic response of an interval of saturated porous rocks with
known petrophysical properties is relatively well understood and includes rock physics …

A new linearized AVO inversion technique is developed in a Bayesian framework. The
objective is to obtain posterior distributions for P-wave velocity, S-wave velocity, and density …

A key element in the solution of a geophysical inverse problem is the quantification of non-
uniqueness, that is, how much parameters of an inferred earth model can vary while fitting a …

Three-term AVO inversion can be used to estimate P-wave velocity, S-wave velocity, and
density perturbations from reflection seismic data. The density term, however, exhibits little …

The main motivation for writing this book is to report on an existing repertoire of geostatistical
methods for handling the integration of geophysical information in reservoir modeling and …

A Bayesian linear inversion methodology based on Gaussian mixture models and its
application to geophysical inverse problems are presented in this paper. The proposed …

In most geophysical inverse problems the properties of interest are parametrized using a
fixed number of unknowns. In some cases arguments can be used to bound the maximum …

We present an overview of Markov chain Monte Carlo, a sampling method for model
inference and uncertainty quantification. We focus on the Bayesian approach to MCMC …

This book started as a set of lectures in computational science for inverse problems where
electromagnetics was used as an example. Talking with many graduate students and other …