Theory and practice of applied geophysics

Theory and Practice of Geophysical Data Inversion

Proceedings of the 8th International Mathematical Geophysics Seminar on Model Optimization in Exploration Geophysics 1990

Editors: Vogel, Andreas (Ed.)

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About this book

The contributions to this volume cover a wide spectrum of recent developments in geophysical data inversion, including basic mathematics and general theory, numerical methods, as well as computer implementation of algorithms. Most of the papers are motivated by problems arising from geophysical research and applications both on a global scale and with respect to local geophysical surveys, underlining the increasing importance of geophysical exploration methods in various fields, such as structural geology, prospecting for mineral and energy resources, hydro­ geology, geotechnology, environmental protection and archaeology. The first section of the book deals with basic mathematics and general theory underlying geophysical data inversion. Papers presented here are concerned with stabilization algorithms to solve ill-posed inverse problems, sensitivity of kernel function estimations to random data errors and reduction of errors in inverse modelling of response functions by linear constraints, numerical procedures for approximating the solution to boundary value problems, accuracy and stability of inverse ill-posed problems constituted by problems of moments, and fast Fourier transforms for solving potential field problems. The second section contains papers on gravity and magnetics, dealing with the solvability of the inverse gravimetric problem for sources represented by point masses and other elementary, solution of the inverse problem in cases of nonuniformly distributed data as obtained by palaeomagnetic studies, satellite observations, and surface projections of buried archaeological targets by inverse filtering of geomagnetic data.

Table of contents (22 chapters)

  • Effective Numerical Methods for Solving Implicit Ill-Posed Inverse Problems

    Trautenhahn, U. (et al.)

    Pages 3-19

  • On the Data Error Influence in Determining a Specific Response Function

    Hofmann, B. (et al.)

    Pages 21-34

  • Approximating the Solution to the Cauchy Problem and the Boundary Value for the Laplace Equation

    Van, T. D. (et al.)

    Pages 35-48

  • On Numerical Integration Differentiation of Fractional Order: a Systems Theory Approach

    Rutman, R. S.

    Pages 49-71

  • Recent Results in the Study of the Moment Problem

    Inglese, G.

    Pages 73-84

Buy this book

eBook $84.99
price for USA in USD (gross)
  • ISBN 978-3-322-89417-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $109.00
price for USA in USD
  • ISBN 978-3-528-06454-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Theory and Practice of Geophysical Data Inversion
Book Subtitle
Proceedings of the 8th International Mathematical Geophysics Seminar on Model Optimization in Exploration Geophysics 1990
Editors
  • Andreas Vogel
Series Title
Theory and practice of applied geophysics
Series Volume
5
Copyright
1992
Publisher
Vieweg+Teubner Verlag
Copyright Holder
Springer Fachmedien Wiesbaden
eBook ISBN
978-3-322-89417-5
DOI
10.1007/978-3-322-89417-5
Softcover ISBN
978-3-528-06454-9
Edition Number
1
Number of Pages
VIII, 376
Number of Illustrations
170 b/w illustrations
Topics