Analysis of Geophysical Potential Fields -  M.P. Mathew,  P.S. Naidu

Analysis of Geophysical Potential Fields (eBook)

A Digital Signal Processing Approach
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1998 | 1. Auflage
297 Seiten
Elsevier Science (Verlag)
978-0-08-052712-3 (ISBN)
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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.


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 "e;why and how?"e;. 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.

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

Erscheint lt. Verlag 19.6.1998
Sprache englisch
Themenwelt Informatik Grafik / Design Digitale Bildverarbeitung
Naturwissenschaften Geowissenschaften Geografie / Kartografie
Naturwissenschaften Geowissenschaften Geologie
Naturwissenschaften Geowissenschaften Geophysik
Naturwissenschaften Physik / Astronomie Elektrodynamik
Technik
ISBN-10 0-08-052712-4 / 0080527124
ISBN-13 978-0-08-052712-3 / 9780080527123
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