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Mathematical Geoenergy: Discovery, Depletion and Renewal

Mathematical Geoenergy: Discovery, Depletion and Renewal

Paul Pukite , Dennis Coyne , Daniel Challou

ISBN: 978-1-119-43429-0

Dec 2018, American Geophysical Union

368 pages

Select type: Hardcover




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 Renewal details 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 importance of up-to-date data, accessed through the companion website
  • Demonstrates the advantages of mathematical modeling over conventional heuristic and empirical approaches
  • Accurately analyzes the past and predicts the future of geoenergy depletion and renewal using models derived from observed production data

Intuitive mathematical models and readily available algorithms make Mathematical GeoEnergy: Oil Discovery, Depletion and Renewal an insightful and invaluable resource for scientists and engineers using robust statistical and analytical tools applicable to oil discovery, reservoir sizing, dispersion, production models, reserve growth, and more.


Chapter 1.           Introduction to Mathematical Geoenergy

Chapter 2.           Stochastic Modeling

Section I: Depletion

Chapter 3.           Fossil Fuel Depletion Modeling

Chapter 4.           Discovering Oil Reserves

Chapter 5.           Analysis of Production and the Shock Model.

Chapter 6.           Characterizing Discovery, Production, and Reserve Growth.

Chapter 7.           Comparing the Oil Production Model to Data.

Chapter 8.           Alternative Characterization and Models

Chapter 9.           Models for Future Production

Section II: Renewal

Chapter 10.         Energy Transition - Applying Probabilities and Physics

Chapter 11.         Wind Energy

Chapter 12.         Wave Energy

Chapter 13.         Geophysical Energy

Chapter 14.         Thermal Energy: Diffusion and Heat Content

Chapter 15.         Latent Energy: Hydrological Cycle

Chapter 16.         Gravitational Potential Energy: Terrain and Topography

Chapter 17.         Solar Energy: Thermodynamic Balance

Chapter 18.         Geoenergy Conversion

Chapter 19.         Dissipative Energy: Resilience, Durability and Reliability

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

Chapter 21.         Electromagnetic Energy: Noise and Uncertainty


Appendix A: The Effect and Role of Feedback

Appendix B: Using pipes and flow to compute convolution

Appendix C: Dispersion analogies

Appendix D: Regional Oil Discovery and Production Profiles

Appendix E: Compartment Models

Appendix F: USA Reserve Growth

Appendix G: Table of Acronyms