TABLE OF CONTENTS DEDICATION ii ACKNOWLEDGEMENTS . iii ABSTRACT . vi CHAPTER ONE: INTRODUCTION . 1 1.1 BACKGROUND 1 1.2 OBJECTIVES . 2 1.3 THESIS OUTLINE . 3 CHAPTER TWO: LITERATURE REVIEW . 4 2.1 X-RAY COMPUTED TOMOGRAPHY 4 2.1.1 History 4 2.1.2 Radiography versus CT 4 2.1.3 The Interaction of x-ray with Matter and CT Number 6 2.1.4 Applications of Microfocus Computed Tomography 9 2.1.5 The Development of CT Scanners . 10 2.1.6 Artifacts in CT . 13 2.2 APPLICATIONS OF CT IN THE STUDY OF POROSITY AND FABRIC OF POROUS MEDIA . 14 2.2.1 Density Calibration of CT Data . 14 2.2.2 Using CT for Porosity Measurements 15 2.2.3 The Behavior of Granular Particles during Shearing . 17 CHAPTER THREE: PARTICLES BEHAVIOR DURING SHEARING OF GRANULAR MATERIALS 19 3.1 INTRODUCTION 19 3.2 EXPERIMENTAL WORK . 19 3.3 VIEWING THE CT IMAGES AND DATA COLLECTION 25 CHAPTER FOUR: RESULTS AND DISCUSSION . 40 4.1 RESULTS . 40 4.1.1 Translation and Rotation 40 4.1.2 Local Strains 44 4.1.3 Dilatancy Angles 48 4.2 DISCUSSION OF RESULTS . 48 4.2.1 Translation . 48 4.2.2 Rotation 51 4.2.3 Local Strains 52 4.2.4 Dilatancy Angles 53 CHAPTER FIVE: SPATIAL POROSITY DISTRIBUTION OF ROCK CORES STUDIED BY àCT 55 v 5.1 INTRODUCTION 55 5.2 EXPERIMENTAL WORK . 55 5.2.1 Specimen Description 55 5.2.2 CT Scanning . 57 5.3 POROSITY CALCULATIONS . 59 5.3.1 Density Calibration 59 5.4 RESULTS AND DISCUSSION . 61 5.4.1 Effect of Grain Size Distribution . 61 5.4.2 Effect of Compaction Pressure 64 5.4.3 Vertical Profiles of Porosity . 68 CHAPTER SIX: CONCLUSIONS AND RECOMMENDATIONS . 70 6.1 CONCLUSIONS . 70 6.2 RECOMMENDATIONS 72 REFERENCES . 73 APPENDIX A: TRANSLATION AND ROTATION HISTOGRAMS . 76 APPENDIX B: LOCAL STRAIN HISTOGRAMS . 78 VITA . 82