Finite Element Programming in Non-linear Geomechanics and Transient Flow

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.

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