Description

Book Synopsis

A rigorous mathematical problem-solving framework for analyzing the Earth's energy resources

GeoEnergy encompasses the range of energy technologies and sources that interact with the geological subsurface. Fossil fuel availability studies have historically lacked concise modeling, tending instead toward heuristics and overly-complex processes.Mathematical GeoEnergy:Oil Discovery, Depletion and Renewaldetails leading-edge research based on a mathematically-oriented approach to geoenergy analysis.

Volume highlights include:

  • Applies a formal mathematical framework to oil discovery, depletion, and analysis
  • Employs first-order applied physics modeling, decreasing computational resource requirements
  • Illustrates model interpolation and extrapolation to fill out missing or indeterminate data
  • Covers both stochastic and deterministic mathematical processes for historical analysis and prediction
  • Emphasizes the

    Table of Contents

    Preface vii

    1. Introduction to Mathematical Geoenergy 1

    2. Stochastic Modeling 5

    Part I: Depletion

    3. Fossil Fuel Depletion Modeling 13

    4. Discovering Oil Reserves 17

    5. Analysis of Production and the Shock Model .41

    6. Characterizing Discovery, Production, and Reserve Growth 61

    7. Comparing the Oil Production Model to Data 85

    8. Alternative Characterization and Models 109

    9. Models for Future Production 131

    Part II: Renewal

    10. Energy Transition: Applying Probabilities and Physics 157

    11. Wind Energy 167

    12. Wave Energy 179

    13. Geophysical Energy 205

    14. Thermal Energy: Diffusion and Heat Content 213

    15. Latent Energy: Hydrological Cycle 225

    16. Gravitational Potential Energy: Terrain and Topography 233

    17. Solar Energy: Thermodynamic Balance 267

    18. Geoenergy Conversion .273

    19. Dissipative Energy: Resilience, Durability, and Reliability 291

    20. Dispersed Energy: Particulates and Transport in the Environment 305

    21. Electromagnetic Energy: Noise and Uncertainty .319

    Epilogue 327

    Appendix A: The Effect and Role of Feedback 329

    Appendix B: Using Pipes and Flow to Compute Convolution 331

    Appendix C: Dispersion Analogies 333

    Appendix D: Regional Oil Discovery and Production Profiles 341

    Appendix E: Compartment Models 343

    Appendix F: US Reserve Growth 345

    Appendix G: Table of Acronyms 349

    Index 351a

Mathematical Geoenergy

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    A Hardback by Paul Pukite, Dennis Coyne, Daniel Challou

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      Book details

      Publisher American Geophysical Union
      Published 12 February 2019
      ISBN-13 9781119434290
      978-1119434290
      ISBN-10 1119434297
      Also in:
      Earth sciences

      Description

      Book Synopsis

      A rigorous mathematical problem-solving framework for analyzing the Earth's energy resources

      GeoEnergy encompasses the range of energy technologies and sources that interact with the geological subsurface. Fossil fuel availability studies have historically lacked concise modeling, tending instead toward heuristics and overly-complex processes.Mathematical GeoEnergy:Oil Discovery, Depletion and Renewaldetails leading-edge research based on a mathematically-oriented approach to geoenergy analysis.

      Volume highlights include:

      • Applies a formal mathematical framework to oil discovery, depletion, and analysis
      • Employs first-order applied physics modeling, decreasing computational resource requirements
      • Illustrates model interpolation and extrapolation to fill out missing or indeterminate data
      • Covers both stochastic and deterministic mathematical processes for historical analysis and prediction
      • Emphasizes the

        Table of Contents

        Preface vii

        1. Introduction to Mathematical Geoenergy 1

        2. Stochastic Modeling 5

        Part I: Depletion

        3. Fossil Fuel Depletion Modeling 13

        4. Discovering Oil Reserves 17

        5. Analysis of Production and the Shock Model .41

        6. Characterizing Discovery, Production, and Reserve Growth 61

        7. Comparing the Oil Production Model to Data 85

        8. Alternative Characterization and Models 109

        9. Models for Future Production 131

        Part II: Renewal

        10. Energy Transition: Applying Probabilities and Physics 157

        11. Wind Energy 167

        12. Wave Energy 179

        13. Geophysical Energy 205

        14. Thermal Energy: Diffusion and Heat Content 213

        15. Latent Energy: Hydrological Cycle 225

        16. Gravitational Potential Energy: Terrain and Topography 233

        17. Solar Energy: Thermodynamic Balance 267

        18. Geoenergy Conversion .273

        19. Dissipative Energy: Resilience, Durability, and Reliability 291

        20. Dispersed Energy: Particulates and Transport in the Environment 305

        21. Electromagnetic Energy: Noise and Uncertainty .319

        Epilogue 327

        Appendix A: The Effect and Role of Feedback 329

        Appendix B: Using Pipes and Flow to Compute Convolution 331

        Appendix C: Dispersion Analogies 333

        Appendix D: Regional Oil Discovery and Production Profiles 341

        Appendix E: Compartment Models 343

        Appendix F: US Reserve Growth 345

        Appendix G: Table of Acronyms 349

        Index 351a

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