GEOS 657

GEOPHYSICAL INVERSE THEORY

 

 

Texts:         Menke, W. (1989), Geophysical Data Analysis - Discrete Inverse Theory, Academic Press, New York.

                  Tarantola, A. (2005), Inverse Problem Theory and Methods for Model Parameter Estimation, SIAM, Philadelphia.

                   Tarantola 2005 Inverse Problem Theory Online

 

                  Aster, R.C., B. Borchers and C.H. Thurber (2005), Parameter Estimation and Inverse Problems, Elsevier, New York.

 

 

INVERSE THEORY REFERENCE BOOKS

 

Aki, K., and P.G. Richards, Quantitative Seismology, W.H. Freeman and Company, 1980.

Albarede, F., Introduction to Geochemical Modeling, Cambridge Univ. Press, New York, 1995.

Bard, Y., Non-Linear Parameter Estimation, Academic Press, 1974.

Bennett, A.F., Inverse Problems in Physical Oceanography, Cambridge University Press, New York, 1992.

Bevington, P.R., Data Reduction and Error Analysis for the Physical Sciences, McGraw-Hill, 1969.

Bjorck, A., Numerical Methods for Least Squares Problems, SIAM, Philadelphia, 1996.

Brogan, W.L., Modern Control Theory, Prentice-Hall, 1985.

Chapman, S.J., Matlab Programming for Engineers 3rd edition, Thomson, Toronto, 2004.

Claerbout, J., Fundamentals of Geophysical Data Processing, McGraw-Hill, 1976.

Claerbout, J., Imaging the Earths Interior, Blackwell Scientific, 1985.

Claerbout, J., Earth Sounding Analysis, Blackwell Scientific, 1992.

Cowan, G., Statistical Data Analysis, Oxford Univ. Press, New York, 1998.

Dimri, V., Deconvolution and Inverse Theory, Elsevier, 1992.

Epstein, C.L., Introduction to the Mathematics of Medical Imaging, Pearson-Prentice Hall, 2003.

Gill, P.E., W. Murray, and M.H. Wright, Practical Optimization, Academic Press, 1981.

Golub, G., and C. Van Loan, Matrix Computations, Johns Hopkins Press, 1996.

Gregory, P., Bayesian Logical Data Analysis for the Physical Sciences, Cambridge Univ. Press, 2004.

Gubbins, D., Time Series Analysis and Inverse Theory for Geophysicisits, Cambridge University Press, 2004.

Halmos, P., Finite Dimensional Vectors Spaces, Van Nostrand-Reinhold, Princeton, New Jersey, 1958.

Hanselman, D. and B. Littlefield, Mastering Matlab 6, Prentice Hall, 2001.

Hansen, P.C., Rank-Deficient and Ill-Posed Problems, SIAM, Philadelphia, 1997.

Herman, G.T., Image Reconstruction from Projections: The Fundamentals of Computerized Tomography, Academic Press, 1980.

Hildebrand, F.B., Advanced Calculus for Applications, Prentice-Hall, 1976.

Hjelt, S.E., Pragmatic Inversion of Geophysical Data, Springer Verlag, 1992.

Ikelle, L.T. and L. Amundsen, Introduction to Petroleum Seismology, Society of Exploration Geophysics, 2005.

Iyer, H.M., and K. Hirahara (Eds.), Seismic Tomography Theory and Practice, Chapman Hall, New York, 1993.

Jaynes, E.T., Probability Theory: The Logic of Science, Cambridge Univserity Press, 2003.

Jeffreys, H., Theory of Probability 3rd edition, Oxford University Press, 1998.

Kahaner, D., C. Moler, and S. Nash, Numerical Methods and Software, Prentice Hall, Englewood Cliffs, New Jersey, 1989.

Kak, A.C., and M. Slaney, Principles of Computerized Tomographic Imaging, IEEE Press, 1988.

Kalnay, E., Atmospheric Modeling, Data Assimilation and Predictability, Cambridge Univ. Press, 2003.

Kennedy, W.J., and J.E. Gentle, Statistical Computing, DEKER, New York, 1980.

Kasibhatla, P. (Ed.), Inverse Methods in Global Biogeochemical Cycles, AGU, Washington, DC, 2000.

Lanczos, C., Linear Differential Operators, Van Nostrand-Reinhold, 1961.

Lawson, C.L., and R.J. Hanson, Solving Least Squares Problems, SIAM, Philadelphia, 1995.

Lo, T.W., and P. Inderwiesen, Fundamentals of Seismic Tomography, SEG, Tulsa, 1994.

Lowrie, W., Fundamentals of Geophysics, Cambridge University Press, New York, 1997.

Luenberger, D.G., Optimization by Vector Space Methods, John Wiley, New York, 1969.

Luenberger, D.G., Linear and Nonlinear Programming, Addison-Wesley, 1984.

Madden, T., Lecture Notes on Geophysical Inverse Theory, MIT, 1986.

Matlab, The Student Edition, Prentice-Hall, 1995.

Menke, W., Geophysical Data Analysis: Discrete Inverse Theory, Academic Press, 1989.

Morse, P.M., and H. Feshbach, Methods of Theoretical Physics, McGraw-Hill, 1953.

Munk, W., P. Worcester, and C. Wunsch, Ocean Acoustic Tomography, Cambridge Univ. Press, 1995.

Nash, S.G. (Ed.), A History of Scientific Computing, ACM Press, New York, 1990.

Parker, R., Geophysical Inverse Theory, Princeton University Press, 1994.

Part-Enander, E., and A. Sjoberg, The Matlab 5 Handbook, Addison-Wesley, New York, 1999.

Nolet, G. (ed.), Seismic Tomography, Reidel, Hingham MA, 1987.

Press, W.H., B.P. Flannery, S.A. Teukolsky, and W.T. Vetterling, Numerical Recipes, Cambridge University Press, 1992.

Rodgers, C.D., Inverse Methods for Atmospheric Sounding Theory and Practice, World Scientific, London, 2000.

Santamarina, J.C., and D. Fratta, Introduction to Discrete Signals and Inverse Problems in Civil Engineering, ASCE Press, Reston, VA, 1998.

Scales, J.A., Theory of Seismic Imaging, SAMIZDAT Press, Golden, CO, 1997.

Scales, J.A., and M.L. Smith, Introductory Geophysical Inverse Theory, SAMIZDAT Press, Golden, CO, 1997.

Sen, M., and P.L. Stoffa, Global Optimum Methods in Geophysical Inversion, Elsevier, New York, 1995.

Sheriff, R.E., and L.P. Geldart, Exploration Seismology, Cambridge University Press, New York, 1995.

Sivia, D.S. and J. Skilling, Data Analysis: A Bayesian Tutorial, Oxford Press, 2006.

Stockwell, J.W., and J.K. Cohen, The New SU Users Manual, Center for Wave Phenomena, Colorado School of Mines, Golden, CO, 1998.

Strang, G., Introduction to Applied Mathematics, Wellesley-Cambridge Press, Wellesley, MA, 1986.

Strang, G., Linear Algebra and its Applications, Academic Press, 1988.

Strang, G., and K. Borre, Linear Algebra, Geodesy, and GPS, Wellesley-Cambridge Press, 1997.

Tarantola, A., Inverse Problem Theory, Elsevier, New York, 1987.

Taylor, J.R., An Introduction to Error Analysis, University Science Books, Mill Valley, CA, 1982.

Telford, W., L. Geldart, and R. Sheriff, Applied Geophysics, Cambridge University Press, New York, 1990.

Trefethan, L., and D. Bau, Numerical Linear Algebra, SIAM, Philadelphia, 1997.

Twomey, S., Introduction to the Mathematics of Inversion in Remote Sensing and Indirect Measurements, Dover, New York, 1977.

Ulrych, T.J. and M.D. Sacchi, Information-Based Inversion and Processing with Applications, Elsevier, 2005.

Wahba, G., Spline Models for Observational Data, SIAM, Philadelphia, 1990.

Wunsch, C., The Ocean Circulation Inverse Problem, Cambridge University Press, New York, 1996.

Wunsch, C., Discrete Inverse and State Estimation Problems, Cambridge University Press, New York, 2006.

Yilmaz, O., Seismic Data Analysis, SEG, Tulsa, 2001.