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Finite Element Programming in Non-linear Geomechanics and Transient Flow

  • 1st Edition - August 21, 2021
  • Latest edition
  • Author: Nobuo Morita
  • Language: English

Finite Element Programming in Non-linear Geomechanics and Transient Flow delivers a textbook reference for both students and practitioners alike, with provided codes to understan… Read more

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Description

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

Readership

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

Table of contents

Part 1 Basics of the finite element method1. Fundamental equations of poro-elasticity and fluid flow through porous media2. Finite element methods4. Finite element method with isoparametric elements5. Numerical integration6. Solution of linear simultaneous equations7. Convergence and error analysis8. Application of the finite element method to non-linear geological materials9. Coupling geomechanics and transient fluid flow

Part 2 Applications of Flow3D and Geo3D to real field problems10. Pressure profile around perforations – field problems using Flow3D11. Evaluation of mechanical stability of perforations using Geo3D12. Numerical methods for the borehole breakout problems using Geo3D13. Casing collapse for hydrostatic and geotechnical loads14. 3D reservoir compaction problems

Appendix A: Apparent elastic modulus with pore fluid

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

Product details

  • Edition: 1
  • Latest edition
  • Published: August 21, 2021
  • Language: English

About the author

NM

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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