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

Front Matter....Pages I-VIII
Front Matter....Pages 1-1
Regularization and Cross Validation Methods for Nonlinear, Implicit, Ill-posed Inverse Problems....Pages 3-13
Active Constraint Strategies in Optimization....Pages 15-31
Robust Predictors and an Alternative Iteration Scheme for Ill-posed Problems....Pages 33-51
Recovering the Orientation Distribution Function with Maximum Entropy from Experimental Pole Distribution Functions....Pages 53-65
Cooperative Approach to Solving Inverse Problems in Integral Geophysics (Theoretical Aspects)....Pages 67-77
Spherical Spline Approximation and its Application in Physical Geodesy....Pages 79-104
Impedance Scattering Theory and Geophysical Problems....Pages 105-117
Boundary Element Analysis of Inverse Problems of Linear Viscoelasticity....Pages 119-127
Obtaining Materic Bodies through Concentration and Optimization of a Linear Functional....Pages 129-148
The Mellin Transform - Its Properties and Applications in Geophysics....Pages 149-168
Front Matter....Pages 169-169
Optimisation of Magnetic Anomalies via Singular Value Decomposition....Pages 171-188
A Statistical Approach to Depth Determination from Gravity Gradients....Pages 189-199
Space Domain Iterative Inversion and its Application to the Western Anatolian Grabens....Pages 201-220
The Elliptical Current Loop Model of Earth’s Magnetic and Paleomagnetic Field Sources....Pages 221-231
The Influence of the Core-mantle Boundary Irregularities on the Mass Density Distribution Inside the Earth....Pages 233-256
The Solution of the Inverse Gravity Problem of the Earth with a Homogeneous Ellipsoid Model....Pages 257-272
Stochastic Modelling of Potential Fields for Geological Objects with Complex Internal Structure....Pages 273-287
Secular Variation based on Archaeomagnetic Data from Ukraine and Bulgaria....Pages 289-296
Can the Geophysical Maps over Buried Ancient Sites Reveal Specific Structures, if Correlated to Predetermined Signals?....Pages 297-314
Study of Geomagnetic Field Reversals using the Mellin Transform....Pages 315-326
Front Matter....Pages 327-327
A Correlation between the Different Models of Resistivity Sounding Data to Discover a New Fresh Water Field in El Sadat City, Western Desert of Egypt....Pages 329-346
Fluid Penetration and Formation Temperature Estimation by Inversion of Borehole Measurements....Pages 347-377
Interpolation of Induced Polarization Transients by the Generalized Cole-Cole Relaxation Model....Pages 379-393
On the Solution of 2.5 D Electromagnetic Field Problems....Pages 395-410
Front Matter....Pages 411-411
Automated Basic Static Corrections....Pages 413-439
Fast Radon Transform and Velocity Analysis Applications....Pages 441-454
An Optimizational Method for Solving the Inverse Dynamic Problem for the Wave Equation in the Class of Vertically Inhomogeneous Media: Numerical Modeling....Pages 455-469
In-depth Parameter for Inversion in Terms of the Type of Stratification....Pages 471-482
A Systems Theory Model For Inversion of The Abel Transform....Pages 483-497
Numerically-Analytical Method for Calculation of Theoretical Seismograms in Layered-Inhomogeneous Anelastic Media....Pages 499-530
Weighting Factors in the Inversion of Seismic Data....Pages 531-546
Algorithm for Calculation of Seismic Wave Field Propagation in the Medium with Curvilinear Free Surface....Pages 547-560
Numerical Inversion of Travel Time Observations by Boundary Value Problem Methods....Pages 561-580
The Multichannel Constrained Wiener Filter....Pages 581-588
Front Matter....Pages 589-589
A Study of the Subsurface Model of Base Metal Mineralization using Complex Geophysical Exploration in Wadi El Khadra Prospect, Kingdom of Saudi Arabia....Pages 591-604
Estimation of the Source Model Parameters for Thermal Anomalies in South Silesia....Pages 605-620