Finite Element Programming in Non-linear Geomechanics and Transient Flow

Finite Element Programming in Non-linear Geomechanics and Transient Flow

1st Edition - August 21, 2021

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  • Author: Nobuo Morita
  • eBook ISBN: 9780323911139
  • Paperback ISBN: 9780323911122

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Finite Element Programming in Non-linear Geomechanics and Transient Flow delivers a textbook reference for both students and practitioners alike, with provided codes to understand and modify. Starting with the fundamentals, the reference covers the basics of finite element methods, including coupling geomechanics and transient fluid flow. The next phase moves from theory into practical application from programs Flow3D and Geo3D, utilizing source codes to solve real field challenges. Stability of perforations during oil and gas production, sand production problems, rock failure, casing collapse, and reservoir compaction problems are just some examples. Next, the reference elevates to hands-on experience, sharing source codes with additional problems engineers can work on independently. This gives students and engineers a starting point to modify their own code in a fraction of the time.

Key Features

  • Helps users understand finite element programs such as Flow3D and Geo3D to solve geomechanics problems, including casing stability, reservoir compaction challenges, and sand production
  • Bridges the gap between theory, applications and source codes to help readers develop or modify their own computer programs with provided source codes
  • Includes cases studies and practice examples that illustrate real-world applications


Doctorate-level petroleum engineering students; petroleum engineers, mechanical engineers, petroleum researchers

Table of Contents

  • Part 1 Basics of the finite element method
    1. Fundamental equations of poro-elasticity and fluid flow through porous media
    2. Finite element methods

    4. Finite element method with isoparametric elements
    5. Numerical integration
    6. Solution of linear simultaneous equations
    7. Convergence and error analysis
    8. Application of the finite element method to non-linear geological materials
    9. Coupling geomechanics and transient fluid flow

    Part 2 Applications of Flow3D and Geo3D to real field problems
    10. Pressure profile around perforations – field problems using Flow3D
    11. Evaluation of mechanical stability of perforations using Geo3D
    12. Numerical methods for the borehole breakout problems using Geo3D
    13. Casing collapse for hydrostatic and geotechnical loads
    14. 3D reservoir compaction problems

    Appendix A: Apparent elastic modulus with pore fluid

    Part 3 Programming of the finite element methods
    Appendix B: 2D and 3D finite element code for single phase transient porous fluid flow problems
    Appendix C: Geo3D code

Product details

  • No. of pages: 550
  • Language: English
  • Copyright: © Gulf Professional Publishing 2021
  • Published: August 21, 2021
  • Imprint: Gulf Professional Publishing
  • eBook ISBN: 9780323911139
  • Paperback ISBN: 9780323911122

About the Author

Nobuo Morita

Nobuo Morita is a professor at the Harold Vance Department of Petroleum Engineering, Texas A&M University, College Station, Texas. He teaches courses on boundary element methods for application to petroleum engineering problems, non-linear mechanics and finite element methods for geomechanics. He is a supervising professor of the Texas A&M Geomechanics Joint Industry Project. He holds sand control, borehole stability and hydraulic fracturing workshops twice per year around the world and has provided consulting services in major oil companies around the world. He was previously employed by ConocoPhillips for 14 years.

Affiliations and Expertise

Professor, Texas A&M University, USA

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