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.
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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
