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.
- 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
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
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.
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