GP 506: Geophysical Inverse Theory

Syllabus​

Fundamental concepts of inverse theory with application to Geophysics, Probability, Inverses with discrete and continuous models, inverse methods based on length, generalized matrix inverses and maximum likelihood methods, nonuniqueness, applications of vector spaces, resolving kernels, use of prior information, singular value decomposition, non-linear inverse problems, continuous inverse theory and tomography, Backus-Gilbert inverse problem, Applications of inverse theory to geophysics.

Texts/References

  • W. Menke, Geophysical data analysis: Discrete inverse theory, Academic Press, International Geophysical series, Vol. 45, 1989
  • J. A. Scales, M. L. Smith and S.Trietel, Introductory Geophysical Inverse Theory, Samizdat Press, Golden Colarado, USA, 2001
  • D. Gubbins, Time series analysis and Inverse theory for Geophysicists, Cambridge Univ. Press, 2004
  • A. Tarantola, Inverse Problem Theory, Elsevier Publishers, New York, 1987