Deconvolution and inverse theory: applications to geophysical problems
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam u.a.
Elsevier
1992
|
| Schriftenreihe: | Methods in geochemistry and geophysics
29 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XVII, 230 S. graph. Darst., Kt. |
| ISBN: | 0444894934 |
Internformat
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Datensatz im Suchindex
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METHODS IN GEOCHEMISTRY AND GEOPHYSICS, 29 DECONVOLUTIONAND
INVERSETHEORY APPLICATION TO GEOPHYSICAL PROBLEMS VIJAYDIMRI NATIONAL
GEOPHYSICAL RESEARCH INSTITUTE, UPPAL ROAD, HYDERABAD 500 007, INDIA
ELSEVIER AMSTERDAM - LONDON - NEW YORK-TOKYO 1992 CONTENTS XV FOREWORD
VII PREFACE IX CHAPTER 1. CONVOLUTION 1 1.1. INTRODUCTION 1 1.2.
CONVOLUTION IN GEOPHYSICS 2 1.3. FOURIER THEORY 6 1.3.1. DISCRETE
FOURIER TRANSFORM 9 1.3.2. CONVOLUTION THEOREM 11 1.3.3. FAST FOURIER
TRANSFORM 12 1.3.4. FREQUENCY REPRESENTATION OF CORRELATION FUNCTIONS 14
1.4. GEOPHYSICAL CONVOLUTION MODEL 15 1.4.1. GEOPHYSICAL SYSTEM 15
1.4.2. GRAVITY CONVOLUTION MODEL 16 1.4.3. MAGNETIC CONVOLUTION MODEL 18
1.4.4. RESISTIVITY CONVOLUTION MODEL 20 1.4.5. SEISMIC CONVOLUTION MODEL
21 CHAPTER 2. DECONVOLUTION 23 2.1. INTRODUCTION 23 2.2. PREDICTIVE
DECONVOLUTION 23 2.3. TIME-VARYING DECONVOLUTION 26 2.3.1. GATED WIENER
DECONVOLUTION 27 2.3.2. KAIMAN FILTER 38 2.3.3. ADAPTIVE FILTER 40 2.4.
HOMOMORPHIC DECONVOLUTION 42 2.5. MINIMUM ENTROPY DECONVOLUTION 44
CHAPTER 3. INVERSE THEORY 49 3.1. INTRODUCTION 49 3.2. LINEARIZED
INVERSION 51 3.2.1. EIGENVECTOR ANALYSIS 55 3.2.2. SINGULAR VALUE
DECOMPOSITION 56 3.2.3. GENERALIZED INVERSE OPERATOR 58 3.2.4.
BACKUS-GILBERT METHOD 60 XVI CONTENTS 3.2.5. LINEARIZED INVERSION WITH
NOISY DATA 62 3.2.6. STATISTICAL INVERSION METHODS 64 3.3. NONLINEAR
INVERSION 67 3.3.1. GRADIENT METHODS 68 3.3.2. RANDOM SEARCH METHOD 70
3.4. TYPES OF NORMS 71 3.4.1. LI NORM 73 3.4.2. L 2 NORM 75 3.4.3. LOA
NORM 75 3.4.4. LD NORM 76 3.4.5. COMPARISON OF NORMS 76 CHAPTER 4.
INVERSION AND DECONVOLUTION 81 4.1. INTRODUCTION 81 4.2. DECONVOLUTION
AND INVERSION 82 4.3. MULTICHANNEL CONSTRAINED WIENER FILTER 86 4.4.
DISCUSSION 91 CHAPTER 5. INVERSION OF REFLECTION SEISMIC DATA 93 5.1.
INTRODUCTION 93 5.2. SEISMIC REFLECTION METHOD 93 5.2.1. SEISMIC DATA
PROCESSING 94 5.2.2. SEISMIC DATA INTERPRETATION 97 5.2.3. FINITE
DIFFERENCE METHOD 100 5.3. INVERSION METHODS 102 5.3.1. EXACT INVERSE
102 5.3.2. LINEARIZED INVERSION 103 5.3.3. NONLINEAR INVERSION 106 5.4.
MIGRATION 110 5.4.1. WAVE EQUATION MIGRATION 110 5.4.2. MIGRATION AND
INVERSION 115 5.5. SEISMIC TOMOGRAPHY 117 5.6. OCEAN ACOUSTIC TOMOGRAPHY
121 5.7. STOCHASTIC TOMOGRAPHY 123 CHAPTER 6. INVERSION OF OTHER
GEOPHYSICAL DATA 125 6.1. INTRODUCTION 125 6.2. INVERSION OF GRAVITY
DATA 125 6.2.1. LINEARIZED INVERSION 128 6.2.2. LINEAR PROGRAMMING 133
6.3. INVERSION OF MAGNETIC DATA 135 CONTENTS XVII 6.3.1. GENERALIZED
INVERSION 137 6.3.2. NONLINEAR INVERSION 138 6.4. INVERSION OF
RESISTIVITY DATA 139 6.4.1. LINEARIZED INVERSION 142 6.4.2. NONLINEAR
INVERSION 143 6.5. INVERSION OF ELECTROMAGNETIC DATA 146 6.5.1. FORWARD
METHOD 146 6.5.2. INVERSION METHODS 148 6.5.3. LINEARIZED INVERSION 148
6.5.4. NONLINEAR INVERSION 152 6.5.5. ROBUST ESTIMATES 157 6.6. JOINT
AND COOPERATIVE INVERSION 160 CHAPTER 7. DECONVOLUTION OF OTHER
GEOPHYSICAL DATA 161 7.1. INTRODUCTION 161 7.2. ESTIMATION OF DENSITY
162 7.3. OPTIMUM FILTER FOR POTENTIAL FIELD DATA 165 7.4. MODIFIED
WIENER-HOPF EQUATION 168 7.4.1. PLOTTING OF THE TRADE-OFF CURVE 170
7.4.2. SYNTHETIC MAGNETIC DATA 170 7.4.3. FIELD EXAMPLES 173 7.5.
NONSTATIONARITY OF MAGNETIC DATA 176 7.6. KAIMAN APPROACH 177 7.7.
DECONVOLUTION OF RESISTIVITY DATA 182 7.8. DECONVOLUTION OF
PALEOMAGNETIC DATA 183 CHAPTER 8. SPECTRAL ESTIMATION 185 8.1.
INTRODUCTION 185 8.2. OVERVIEW OF CONVENTIONAL METHODS 186 8.3. HIGH
RESOLUTION METHODS 189 8.3.1. MODIFIED BURG'S COEFFICIENTS 190 8.3.2
MAXIMUM LIKELIHOOD METHOD 197 8.4. MULTICHANNEL AND MULTIDIMENSIONAL
SPECTRA 202 APPENDIX A. MULTICHANNEL UNIMODULAR CONSTRAINED FILTER 205
REFERENCES 209 SUBJECT INDEX 227 |
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| id | DE-604.BV007464379 |
| illustrated | Illustrated |
| indexdate | 2025-01-29T11:03:11Z |
| institution | BVB |
| isbn | 0444894934 |
| language | English |
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| physical | XVII, 230 S. graph. Darst., Kt. |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| publisher | Elsevier |
| record_format | marc |
| series | Methods in geochemistry and geophysics |
| series2 | Methods in geochemistry and geophysics |
| spelling | Dimri, Vijay Verfasser (DE-588)124093671 aut Deconvolution and inverse theory applications to geophysical problems Vijay Dimri Amsterdam u.a. Elsevier 1992 XVII, 230 S. graph. Darst., Kt. txt rdacontent n rdamedia nc rdacarrier Methods in geochemistry and geophysics 29 Inverse Methode (DE-588)4162226-1 gnd rswk-swf Dekonvolution (DE-588)4252971-2 gnd rswk-swf Geophysik (DE-588)4020252-5 gnd rswk-swf Geophysik (DE-588)4020252-5 s Dekonvolution (DE-588)4252971-2 s DE-604 Inverse Methode (DE-588)4162226-1 s Methods in geochemistry and geophysics 29 (DE-604)BV001889852 29 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004845236&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Dimri, Vijay Deconvolution and inverse theory applications to geophysical problems Methods in geochemistry and geophysics Inverse Methode (DE-588)4162226-1 gnd Dekonvolution (DE-588)4252971-2 gnd Geophysik (DE-588)4020252-5 gnd |
| subject_GND | (DE-588)4162226-1 (DE-588)4252971-2 (DE-588)4020252-5 |
| title | Deconvolution and inverse theory applications to geophysical problems |
| title_auth | Deconvolution and inverse theory applications to geophysical problems |
| title_exact_search | Deconvolution and inverse theory applications to geophysical problems |
| title_full | Deconvolution and inverse theory applications to geophysical problems Vijay Dimri |
| title_fullStr | Deconvolution and inverse theory applications to geophysical problems Vijay Dimri |
| title_full_unstemmed | Deconvolution and inverse theory applications to geophysical problems Vijay Dimri |
| title_short | Deconvolution and inverse theory |
| title_sort | deconvolution and inverse theory applications to geophysical problems |
| title_sub | applications to geophysical problems |
| topic | Inverse Methode (DE-588)4162226-1 gnd Dekonvolution (DE-588)4252971-2 gnd Geophysik (DE-588)4020252-5 gnd |
| topic_facet | Inverse Methode Dekonvolution Geophysik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004845236&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV001889852 |
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