硕士论文-Analysis and application of the Radon transform
【论文题目】 Analysis and application of the Radon transform
【论文作者】Zhihong Cao
【院校】 UNIVERSITY OF CALGARY
【时间】 December, 2006
【内容简介】
An ultimate goal of seismic exploration is to generate accurate images of the
subsurface to clearly identify hydrocarbon plays. Seismic data processing plays an
important role in achieving this goal. One of the key problems in seismic data processing
is to attenuate multiple reflections from seismic data. Multiple reflections often
destructively interfere with primary reflections and lead to incorrect seismic images.
Different approaches have been investigated and applied to the multiple
attenuation problem, including the Radon transform which is an industry standard and
has been attracting a lot of attention in the last two decades. In this thesis, Radon
transform techniques are reviewed and analyzed and a new Radon algorithm, the
optimized semblance-weighted Radon transform, is introduced. An overview of various
Radon transform methods is given and the algorithms tested on synthetic and real data.
【目录】
Approval Page.....................................................................................................................ii
Abstract..............................................................................................................................iii
Acknowledgements............................................................................................................iv
Table of Contents...............................................................................................................vi
List of Figures and Illustrations.......................................................................................viii
Symbols and Abbreviations..............................................................................................xii
CHAPTER ONE: INTRODUCTION..................................................................................1
1.1 Basic concepts of seismology....................................................................................1
Common mid-point (CMP) gather.............................................................................1
Normal moveout (NMO) correction...........................................................................2
CMP stack..................................................................................................................5
Root Mean Square (RMS) velocity............................................................................5
1.2 Historical background to multiple reflections...........................................................6
1.3 Review of typical solutions to multiple attenuation..................................................9
1.4 The Radon transform...............................................................................................10
1.5 Objective of the thesis..............................................................................................11
1.6 My contributions in this thesis.................................................................................11
1.7 Outline of thesis.......................................................................................................12
CHAPTER TWO: REVIEW OF MULTIPLE SUPPRESSION TECHNIQUES.............13
2.1 CMP stack technique...............................................................................................13
2.2 Predictive deconvolution.........................................................................................13
Theory.......................................................................................................................13
Predictive deconvolution in the -p domain.............................................................16
The slant-stack transform.........................................................................................18
Application to multiple suppression.........................................................................19
2.3 Frequency-wavenumber (f-k) filter..........................................................................20
2.4 Karhunen-Loeve transform......................................................................................23
2.5 Radon transform......................................................................................................25
CHAPTER THREE: THE RADON TRANSFORM.........................................................28
3.1 Definition of the Radon transform...........................................................................28
Hyperbolic Radon transform....................................................................................28
Shifted-hyperbola Radon transform.........................................................................29
Parabolic Radon transform.......................................................................................31
3.2 The Resolution problem of the Radon transform....................................................33
3.3 Solutions to the Radon transform............................................................................38
Standard least-squares solution................................................................................38
Frequency domain solution......................................................................................40
High-resolution solution in the frequency domain...................................................43
Semblance-weighted Radon method........................................................................45
The optimized semblance-weighted Radon solution................................................48
3.4 Stacking path analysis..............................................................................................53
3.5 Analysis of aliasing..................................................................................................54
CHAPTER FOUR: APPLICATION OF DIFFERENT RADON METHODS.................56
4.1 Synthetic data examples of the Radon transforms...................................................56
4.2 Real data example....................................................................................................66
CHAPTER FIVE: CONCLUSIONS.................................................................................82
REFERENCES..................................................................................................................84
