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The ultimate aim of the oil exploration industry is to determine the distribution of rock types and underground fluids. At this stage, we can actually determine the distribution of several underground physical properties with a certain accuracy. The challenge for the rock physicist is to translate those physical properties (P-velocity, S-velocity, density) into rock types and fluids (gas-, or oil-, or water-bearing sand, shale). If performed correctly, dry holes can be avoided and millions of dollars can be saved. Ultimately, an integrated approach is required. This book deals with a series of topics in rock physics, including elasticity, pore pressure, incompressibility of rocks and the Gassmann equation, fluid substitution, forward modelling and empirical equations, rock physics applications to AVO studies and inversion studies, and the Differential Effective Medium (DEM) method. It is generally addressed to the practitioner (geophysicist, geologist), and in some instances, detailed instructions are furnished to perform a particular task. Some chapters, on the other hand, are theoretical and more mathematical, and are expected to be of interest to both practitioners and students alike. Other chapters include innovative ideas that could, for instance, be tested by oil companies that have substantial amounts of data at their disposal.

Amplitude variation with offset analysis. --- Inversion (Geophysics) --- Inversion (géophysique) --- Seismology --- Sismologie --- Mathematics. --- Mathématiques.

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Parameter Estimation and Inverse Problems primarily serves as a textbook for advanced undergraduate and introductory graduate courses. Class notes have been developed and reside on the World Wide Web for faciliting use and feedback by teaching colleagues. The authors' treatment promotes an understanding of fundamental and practical issus associated with parameter fitting and inverse problems including basic theory of inverse problems, statistical issues, computational issues, and an understanding of how to analyze the success and limitations of solutions to these probles. The t

Parameter estimation --- Inverse problems (Differential equations) --- Inversion (Geophysics) --- Mathematical models --- Inverse problems (Differential equations). --- Inversion (Geophysics). --- Mathematical models. --- Parameter estimation. --- Estimation d'un paramètre --- Problèmes inversés (Equations différentielles) --- Inversion (Géophysique) --- Modèles mathématiques --- Models, Mathematical --- Simulation methods --- Inverse method (Geophysics) --- Inverse problem (Geophysics) --- Inverse theory (Geophysics) --- Inversion models (Geophysics) --- Models, Inversion (Geophysics) --- Prospecting --- Differential equations --- Estimation theory --- Stochastic systems --- Geophysical methods --- Inverse problems (differential equations) --- Inversion (geophysics)