Theory and Practice of Geophysical Data Inversion

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

  • Andreas Vogel
  • Abu K. M. Sarwar
  • Rudolf Gorenflo
  • Ognyan I. Kounchev

Part of the Theory and Practice of Applied Geophysics book series (THPAG, volume 5)

Table of contents

  1. Front Matter
    Pages I-VIII
  2. Basic Mathematics and General Theory

  3. Gravity and Magnetics

  4. Geoelectrics and Electromagnetics

    1. Front Matter
      Pages 145-145
    2. A. Hördt, K.-M. Strack, K. Vozoff, P. A. Wolfgram
      Pages 147-158
  5. Seismics

    1. Front Matter
      Pages 177-177
    2. R. Guney, E. F. Benson, A. K. M. Sarwar
      Pages 191-210
    3. E. F. Benson, R. Guney, A. K. M. Sarwar
      Pages 211-230
    4. M. Novotný
      Pages 231-242
    5. C. Kurtuluş, M. Alpmen
      Pages 283-308
    6. A. S. Bykovtsev, V. A. Cheverda, V. G. Khaidukov
      Pages 309-323
  6. Geothermics

  7. Joint Inversion of Geophysical Data

  8. Back Matter
    Pages 375-376

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.


algorithms development earth energy fields geotechnical engineering gravity iron mathematics numerical method paper resistivity spectra stability tomography

Editors and affiliations

  • Andreas Vogel
    • 1
  • Abu K. M. Sarwar
    • 1
  • Rudolf Gorenflo
    • 1
  • Ognyan I. Kounchev
    • 1
  1. 1.BerlinGermany

Bibliographic information

  • DOI
  • Copyright Information Springer Fachmedien 1992
  • Publisher Name Vieweg+Teubner Verlag, Wiesbaden
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-528-06454-9
  • Online ISBN 978-3-322-89417-5
  • Buy this book on publisher's site
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