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Mathematics of Multidimensional Seismic Imaging, Migration, and Inversion : Interdisciplinary Applied Mathematics - Norman Bleistein

Mathematics of Multidimensional Seismic Imaging, Migration, and Inversion

Interdisciplinary Applied Mathematics

Hardcover Published: 15th December 2000
ISBN: 9780387950617
Number Of Pages: 510

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  • Paperback View Product Published: 13th November 2013

In the last 40 years geophysicists have found that it is possible to construct images and even determine important physical characteristics of rocks that can yield information about oil and gas bearing structures in the earth. To make these images and extract this information requires the application of an advanced understanding of the mathematical physics of wave propagation. The oil and gas industry labels a major collection of the necessary seismic data processing methods by the name seismic "migration."
This text ist the first to treat many kinds of migration in a unified mahtematical way. The audience is mathematically oriented geophysicists or applied mathematicians working in the field of "inverse scattering imaging." The text can serve as a bridge between the applied math and geophysics community by presenting geophysicists with a practical introduction to advanced engineering mathematics, while presenting mathematicians with a window into the world of the mathematically sophistiated geophysicist.

Industry Reviews

From the reviews:


"The presentation is exceptionally good, with a systematic progression from simpler to more sophisticated problems. This is very helpful to those readers not familiar with the subject...Every seismological term and every necessary mathematical concept is explained so that the book is actually self-contained...The mathematics are...kept are at a sufficiently low level of mathematical sophistication to make the book easy for its intended readership...Another advantage of the book is a careful choice of the variables...Exercises stimulate the reader's initiative and inquisitiveness. This is rather unusual in geophysical literature...Even for seasoned seismologists the book will provide an incentive to upgrade their know-how."

List of Figures
Multidimensional Seismic Inversionp. 1
The One-Dimensional Inverse Problemp. 24
Inversion in Higher Dimensionsp. 88
Large-Wavenumber Fourier Imagingp. 161
Inversion in Heterogeneous Mediap. 216
Two-and-One-Half-Dimensional Inversionp. 282
The General Theory of Data Mappingp. 311
Distribution Theoryp. 389
The Fourier Transform of Causal Functionsp. 409
Dimensional Versus Dimensionless Variablesp. 418
An Example of Ill-Posednessp. 430
An Elementary Introduction to Ray Theory and the Kirchhoff Approximationp. 435
Referencesp. 489
Author Indexp. 499
Subject Indexp. 503
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780387950617
ISBN-10: 0387950613
Series: Interdisciplinary Applied Mathematics
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 510
Published: 15th December 2000
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 23.5 x 15.5  x 3.18
Weight (kg): 0.93

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