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E-raamat: Geophysical Data Inversion Methods and Applications: Proceedings of the 7th International Mathematical Geophysics Seminar held at the Free University of Berlin, February 8-11, 1989

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This monograph contains a selection of papers presented at the Seventh Inter­ national Seminar on Model Optimization in Exploration Geophysics held at the Free University of Berlin, February 8-11, 1989. The papers presented here cover the different methods of synthetic and real data sets. The volume covers a wide spectrum of the subject from basic mathematics, general theory and computer implementation of methods to their practical applications. The first section of the book deals with the basic mathematics and general theory underlying geophysical data inversion. Papers presented here include those dealing with the solution of ill-posed inverse problems, constraint strategies in optimization, spherical spline approximation and the use of integral transforms in geophysical data inversion. The second section contains papers on the inversion of gravity and magnetic data. These papers cover such topics as the use of singular v;alue decomposition and space domain iterative inversion techniques in the study of gravity and magnetic anomalies. Also included here are papers dealing with the stochastic and statistical modelling of potential fields, mass density distribution inside the earth and the mapping of archeological sites through the inversion of magnetic field data.
1. Basic Mathematical and General Theory.- Regularization and Cross
Validation Methods for Nonlinear, Implicit, Ill-posed Inverse Problems.-
Active Constraint Strategies in Optimization.- Robust Prediction and an
Alternative Iteration Scheme for Ill-posed Problems.- Recovering the
Orientation Distribution Function with Maximum Entropy from Experimental Pole
Distribution Functions.- Cooperative Approach to Solving Inverse Problems in
Integral Geophysics (Theoretical Aspects).- Spherical Spline Approximation
and Its Application in Physical Geodesy.- Impedance Scattering Theory and
Geophysical Problems.- Boundary Element Analysis of Inverse Problems of
Linear Viscoelasticity.- Obtaining Materic Bodies through Concentration and
Optimization of a Linear Functional.- The Mellin Transform Its Properties
and Applications in Geophysics.-
2. Gravity and Magnetics.- Optimisation of
Magnetic Anomalies via Singular Value Decomposition.- A Statistical Approach
to Depth Determination from Gravity Gradients.- Space Domain Iterative
Inversion and its Application to the Western Anatolian Grabens.- The
Elliptical Current Loop Model of Earth Magnetic and Paleomagnetic Field
Sources.- The Influence of the Core-mantle Boundary Irregularities on the
Mass Density Distribution Inside the Earth.- The Solution of the Inverse
Gravity Problem of the Earth with a Homogeneous Ellipsoid Model.- Stochastic
Modelling of Potential Fields for Geological Objects with Complex Internal
Structure.- Secular Variation based on Archaeomagnetic Data from Ukraine and
Bulgaria.- Can the Geophysical Maps over Buried Ancient Sites Reveal Specific
Structures, if Correlated to Predetermined Signals?.- Study of Geomagnetic
Field Reversals using the Mellin Transform.-
3. Electrics and
Electromagnetics.- A Correlationbetween the Different Models of Resistivity
Sounding Data to Discover a New Fresh Water Field in El Sadat City, Western
Desert of Egypt.- Fluid Penetration and Formation Temperature Estimation by
Inversion of Borehole Measurements.- Interpolation of Induced Polarisation
Transients by the Generalized Cole-Cole Relaxation Model.- On the Solution of
2.5D Electromagnetic Field Problems.-
4. Seismics.- Automated Basic Static
Corrections.- Fast Radon Transform and Velocity Analysis Applications.- An
Optimizational Method for Solving the Inverse Dynamic Problem for the Wave
Equation in the Class of Vertically Inhomogeneous Media: Numerical Modeling.-
In-depth Parameter for Inversion in Terms of the Type of Stratification.- A
Systems Theory Model for Inversion of the Abel Transform.-
Numerically-Analytical Method for Calculation of Theoretical Seismograms in
Layered-Inhomogeneous Media.- Weighting Factors in the Inversion of Seismic
Data.- Algorithm for Calculation of Seismic Wave Field Propagation in the
Medium with Curvilinear Free Surface.- Numerical Inversion of Travel Time
Observations by Boundary Value Problem Methods.- The Multichannel Constrained
Wiener Filter.-
5. Joint Inversion of Geophysical Data and Geothermics.- A
Study of the Subsurface Model of Base Metal Mineralization using Complex
Geophysical Exploration in Wadi El Khadra Prospect, Kingdom of Saudi Arabia.-
Estimation of the Source Model Parameters for Thermal Anomalies in South
Silesia.