Deconvolution and Inverse Theory: Application to Geophysical Problems

Preface. 1. Convolution. Introduction. Convolution in geophysics. Fourier theory. Geophysical convolution model. 2. Deconvolution. Introduction. Predictive deconvolution. Time-varying deconvolution. Homomorphic deconvolution. Minimum entropy deconvolution. 3. Inverse Theory. Introduction. Linearized inversion. Nonlinear inversion. Types of norms. 4. Inversion and Deconvolution. Introduction. Deconvolution and inversion. Multichannel constrained Wiener filter. Discussion. 5. Inversion of Reflection Seismic Data. Introduction. Seismic reflection method. Inversion methods. Migration. Seismic tomography. Ocean acoustic tomography. Stochastic tomography. 6. Inversion of Other Geophysical Data. Introduction. Inversion of gravity data. Inversion of magnetic data. Inversion of resistivity data. Inversion of electromagnetic data. Joint and cooperative inversion. 7. Deconvolution of Other Geophysical Data. Introduction. Estimation of density. Optimum filter for potential field data. Modified Wiener-Hopf equation. Nonstationarity of magnetic data. Kalman approach. Deconvolution of resistivity data. Deconvolution of paleomagnetic data. 8. Spectral Estimation. Introduction. Overview of conventional methods. High resolution methods. Multichannel and multidimensional spectra. Appendix A. Multichannel Unimodular Constrained Filter. References. Subject Index.