Mathematics of Multidimensional Seismic Imaging, Migration, and Inversion

✍ Scribed by N. Bleistein, J. W. Stockwell Jr., J. K. Cohen (auth.)

Publisher: Springer-Verlag New York
Year: 2001
Tongue: English
Leaves: 537
Series: Interdisciplinary Applied Mathematics 13
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages i-xxix
Multidimensional Seismic Inversion....Pages 1-23
The One-Dimensional Inverse Problem....Pages 24-87
Inversion in Higher Dimensions....Pages 88-160
Large-Wavenumber Fourier Imaging....Pages 161-215
Inversion in Heterogeneous Media....Pages 216-281
Two-and-One-Half-Dimensional Inversion....Pages 282-310
The General Theory of Data Mapping....Pages 311-388
Back Matter....Pages 389-511

✦ Subjects

Analysis; Geophysics/Geodesy; Theoretical, Mathematical and Computational Physics

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