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Analysis of Geophysical Potential Fields: A Digital Signal Processing Approach

✍ Scribed by Naidu P. S., Mathew M. P.


Year
1998
Tongue
English
Leaves
311
Category
Library

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✦ Synopsis


When some useful information is hidden behind a mass of unwanted information we often resort to information processing used in its broad sense or specifically to signal processing when the useful information is a waveform. In geophysical surveys, in particular in aeromagnetic and gravity surveys, from the measured field it is often difficult to say much about any one specific target unless it is close to the surface and well isolated from the rest. The digital signal processing approach would enable us to bring out the underlying model of the source, that is, the geological structure. Some of the tools of dsp such as digital filtering, spectrum estimation, inversion, etc., have found extensive applications in aeromagnetic and gravity map analysis. There are other emerging applications of dsp in the area of inverse filtering, three dimensional visualization, etc.The purpose of this book is to bring numerous tools of dsp to the geophysical community, in particular, to those who are entering the geophysical profession. Also the practicing geophysicists, involved in the aeromagnetic and gravity data analysis, using the commercially available software packages, will find this book useful in answering their questions on "why and how?". It is hoped that such a background would enable the practising geophysicists to appreciate the prospects and limitations of the dsp in extracting useful information from the potential field maps. The topics covered are: potential field signals and models, digital filtering in two dimensions, spectrum estimation and application, parameter estimation with error bounds"

✦ Table of Contents


Front Cover......Page 1
Analysis of Geophysical Potential Fields: A Digital Signal Processing Approach......Page 4
Copyright Page......Page 5
Contents......Page 8
Preface......Page 6
1.1. Potential field surveys for mineral and hydrocarbon exploration......Page 14
1.2. Role of digital signal processing (dsp)......Page 19
1.3. A comparison with seismic signal processing......Page 25
1.4. Prologue......Page 26
1.5. Notation......Page 29
References......Page 30
2.1. Potential field in source free space......Page 32
2.2. Potential field in source filled space......Page 40
2.3. 2D source models......Page 43
2.4. 3D source models......Page 49
2.5. Stochastic models I: random interface......Page 62
2.6. Stochastic model II: random medium......Page 75
References......Page 85
3.2. Spectrum of random fields......Page 88
3.3. Discrete potential fields......Page 96
3.4. Estimation of power spectrum......Page 105
3.5. Depth estimation from radial spectrum......Page 127
3.6. Angular spectrum......Page 141
3.7. Coherence analysis......Page 149
References......Page 155
4.1. Two-dimensional digital filters......Page 158
4.2. Implementation of digital filters......Page 179
4.3. Filtering for signal enhancement......Page 182
4.4. Digital filters for analytical operations......Page 187
4.5. Reduction to pole and equator......Page 196
4.6. Reduction to a plane surface......Page 206
4.7. Removal of the terrain effect......Page 213
4.8. Wiener filters......Page 223
References......Page 232
5.1. Inverse filtering......Page 236
5.2. Least squares inversion (2D distribution)......Page 246
5.3. Least squares inversion (3D distribution)......Page 256
5.4. Texture analysis......Page 261
References......Page 267
6.1. Maximum likelihood (ML) estimation......Page 270
6.2. ML estimation source parameters......Page 277
6.3. Least squares inverse (non-linear)......Page 301
References......Page 307
Subject index......Page 308


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