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Finite Element Programming in Non-linear Geomechanics and Transient Flow - 1st Edition - ISBN: 9780323911122, 9780323911139

Finite Element Programming in Non-linear Geomechanics and Transient Flow

1st Edition

Author: Nobuo Morita
eBook ISBN: 9780323911139
Paperback ISBN: 9780323911122
Imprint: Gulf Professional Publishing
Published Date: 21st August 2021
Page Count: 550
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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


No. of pages:
© Gulf Professional Publishing 2021
21st August 2021
Gulf Professional Publishing
eBook ISBN:
Paperback ISBN:

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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