2D/3D Boundary Element Programming in Petroleum Engineering and Geomechanics

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.

Fundamentals 1. Fundamental elasticity equations 2. Flow through porous media 3. Tensor notation or index notation 4. Fundamental solutions

Theoretical development 5. Boundary element methods 6. Discretization of integral equations 7. Numerical integration 8. System of linear equations 9. Discretization of the system of equations for fluid flow through porous media

Programing 10. 2D structure code (Direct BEM) with stiffness matrix without numerical integration 11. 2D Structure code (Direct BEM) with stiffness matrix with numerical integration 12. 2D Discontinuous Boundary Element Method (DDM) suitable for crack problems 13. 2D transient flow program using time dependent fundamental solution 14. 3D boundary element code (Direct BEM) for solid elasticity problems 15. Analytical 3D displacement discontinuous method: Stress shadow induced by movement of fault planes and fracture opening 16. 3D static fracture model using the dual boundary element method     17. 3D fracture propagation code coupled with 2D finite element flow and 3D fracture code (DDM) Application 18. Interface program, and mesh generation program