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Mathematics of Multidimensional Seismic Imaging, Migration, and Inversion

  • Textbook
  • © 2001

Overview

Authors:
  1. N. Bleistein

    1. Center for Wave Phenomena, Colorado School of Mines, Golden, USA

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  2. J. W. Stockwell

    1. Center for Wave Phenomena, Colorado School of Mines, Golden, USA

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    You can also search for this author in PubMed   Google Scholar

  3. J. K. Cohen
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Part of the book series: Interdisciplinary Applied Mathematics (IAM, volume 13)

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-xxix
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  2. Multidimensional Seismic Inversion

    • N. Bleistein, J. W. Stockwell Jr., J. K. Cohen
    Pages 1-23

  3. The One-Dimensional Inverse Problem

    • N. Bleistein, J. W. Stockwell Jr., J. K. Cohen
    Pages 24-87

  4. Inversion in Higher Dimensions

    • N. Bleistein, J. W. Stockwell Jr., J. K. Cohen
    Pages 88-160

  5. Large-Wavenumber Fourier Imaging

    • N. Bleistein, J. W. Stockwell Jr., J. K. Cohen
    Pages 161-215

  6. Inversion in Heterogeneous Media

    • N. Bleistein, J. W. Stockwell Jr., J. K. Cohen
    Pages 216-281

  7. Two-and-One-Half-Dimensional Inversion

    • N. Bleistein, J. W. Stockwell Jr., J. K. Cohen
    Pages 282-310

  8. The General Theory of Data Mapping

    • N. Bleistein, J. W. Stockwell Jr., J. K. Cohen
    Pages 311-388

  9. Back Matter

    Pages 389-511
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Keywords

About this book

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.

Reviews

From the reviews:

PURE APPLIED GEOPHYSICS

"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."

Authors and Affiliations

  • Center for Wave Phenomena, Colorado School of Mines, Golden, USA

    N. Bleistein, J. W. Stockwell

Bibliographic Information

  • Book Title: Mathematics of Multidimensional Seismic Imaging, Migration, and Inversion

  • Authors: N. Bleistein, J. W. Stockwell, J. K. Cohen

  • Series Title: Interdisciplinary Applied Mathematics

  • DOI: https://doi.org/10.1007/978-1-4613-0001-4

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 2001

  • Hardcover ISBN: 978-0-387-95061-7Published: 15 December 2000

  • Softcover ISBN: 978-1-4612-6514-6Published: 13 November 2013

  • eBook ISBN: 978-1-4613-0001-4Published: 22 November 2013

  • Series ISSN: 0939-6047

  • Series E-ISSN: 2196-9973

  • Edition Number: 1

  • Number of Pages: XXX, 510

  • Topics: Analysis, Geophysics/Geodesy, Theoretical, Mathematical and Computational Physics

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