Resonance: the Science Behind the Art of Sonic Drilling
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RESONANCE: THE SCIENCE BEHIND THE ART OF SONIC DRILLING by Peter Andrew Lucon A dissertation submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy in Engineering MONTANA STATE UNIVERSITY Bozeman, Montana April 2013 ©COPYRIGHT by Peter Andrew Lucon 2013 All Rights Reserved ii APPROVAL of a dissertation submitted by Peter Andrew Lucon This dissertation has been read by each member of the dissertation committee and has been found to be satisfactory regarding content, English usage, format, citation, bibliographic style, and consistency and is ready for submission to The Graduate School. Dr. David Miller (Co-Chair) Dr. Douglas Cairns (Co-Chair) Approved for the Department of Mechanical and Industrial Engineering Dr. Christopher H.M. Jenkins Approved for The Graduate School Dr. Ronald W. Larsen iii STATEMENT OF PERMISSION TO USE In presenting this dissertation in partial fulfillment of the requirements for a doctoral degree at Montana State University, I agree that the Library shall make it available to borrowers under rules of the Library. I further agree that copying of this dissertation is allowable only for scholarly purposes, consistent with “fair use” as prescribed in the U.S. Copyright Law. Requests for extensive copying or reproduction of this dissertation should be referred to ProQuest Information and Learning, 300 North Zeeb Road, Ann Arbor, Michigan 48106, to whom I have granted “the right to reproduce and distribute my dissertation in and from microform along with the non-exclusive right to reproduce and distribute my abstract in any format in whole or in part.” Peter Andrew Lucon April 2013 iv ACKNOWLEDGEMENTS I would like to thank some of the many people who from the beginning of this work have been instrumental in its final success. Without the support, encouragement, and training from Lawrence C. Farrar and the staff at Resodyn Corporation this work would never have come to fruition. Without the financial support of Resodyn Corporation, it would not have been possible to start the journey nor finish strong. Funding from the Department of Energy SBIR Phase I Program made it possible to perform tests and collect test data while operating a sonic drill. Special thanks also goes out to Dr. Jeffery Barrow for allowing us the use of his sonic drill as well as the multitude of facts and stories about sonic drilling. I would also like to thank Rob Dobush of Blue Star Enterprises Northwest for assembling and operating the sonic drill for our tests and Brian Seaholm for writing the data acquisition program, recording the test data and traveling with me to take the sonic drill data. Without the support of my family this work would not have been completed. Janice, especially, was and currently is a constant source of encouragement, who through all the other distractions, including the birth of our first born, Helen, kept me on task so I could focus on this endeavor and finish. Finally, I would like to dedicate this body of work to my parents Francis and Mary Lucon, for providing continual support and encouragement throughout to my life. v TABLE OF CONTENTS 1. INTRODUCTION ...................................................................................................... 1 Sonic Drilling Background ......................................................................................... 1 How Sonic Drilling Works ............................................................................. 6 The Sonic Drill Head .......................................................................... 6 The Resonator ..................................................................................... 7 Drilling with Sonics ........................................................................................ 9 Sonic Drilling Modeling ........................................................................................... 12 Motivation for Continued Research in Sonic Drilling ............................................. 22 Background of Microhole Drilling ............................................................... 23 Anticipated Public Benefits .......................................................................... 24 Carbon-Sequestration ....................................................................... 26 Coalbed Methane Basins (CBM) ...................................................... 26 Market Potential ........................................................................................... 27 Research Direction ................................................................................................... 28 2. SONIC DRILL VARIABLES OF INFLUENCE ..................................................... 29 Introduction .............................................................................................................. 29 Penetration Rate ........................................................................................................ 35 Weight on Bit ........................................................................................................... 35 Input Force Frequency .............................................................................................. 36 Input Force ................................................................................................................ 36 Speed of Rotation ..................................................................................................... 37 Flush Fluid Flow ....................................................................................................... 40 Mass of Sonic Head .................................................................................................. 40 Mass of Drill Bit ....................................................................................................... 42 Air Spring Rate at Sonic Head ................................................................................. 43 Damping along the Length of the Drill String .......................................................... 43 Damping at the Drill Bit ........................................................................................... 45 Sonic Driver Damping .............................................................................................. 46 Stored Energy along the Length ............................................................................... 46 Drill Bit Coupling ..................................................................................................... 47 3. MODELING ............................................................................................................. 48 Introduction .............................................................................................................. 48 Single Degree of Freedom System ........................................................................... 49 Sonic Drill System .................................................................................................... 56 Mathematical Model ..................................................................................... 56 Boundary Condition Solution Method ......................................................... 62 Sonic Drill Parameters .................................................................................. 65 vi TABLE OF CONTENTS – CONTINUED Finite Element Method Model ...................................................................... 80 Control Derivations .................................................................................................. 84 Resonant Condition ...................................................................................... 84 Power Delivery and Measurement. .................................................. 89 Real-time Monitoring of Drilling Condition ................................................ 93 Choosing an Operational Resonant Mode .................................................... 95 4. MATHEMATICAL MODELS ................................................................................ 97 Introduction .............................................................................................................. 97 Closed Form Boundary Solution .............................................................................. 97 Finite Element Method ........................................................................................... 101 5. MODEL RESULTS ................................................................................................ 104 Introduction ............................................................................................................ 104 Boundary Condition Solution ................................................................................. 104 Conditions except Damping ....................................................................... 106 Variable Effects of the Strata Being Drilled ............................................... 115 Variable Effects of the Strata Damping ...................................................... 120 Finite Element Solution .......................................................................................... 125 Resonant Modes ......................................................................................... 127 Constant Damping and Restoring ............................................................... 134 FEM with Equivalent Damping and Restoring .......................................... 137 Boundary Condition Results Summary .................................................................