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.

• Fundamentals1. Fundamental elasticity equations 2. Flow through porous media3. Tensor notation or index notation4. Fundamental solutionsTheoretical development5. Boundary element methods6. Discretization of integral equations7. Numerical integration8. System of linear equations9. Discretization of the system of equations for fluid flow through porous mediaPrograming10. 2D structure code (Direct BEM) with stiffness matrix without numerical integration11. 2D Structure code (Direct BEM) with stiffness matrix with numerical integration12. 2D Discontinuous Boundary Element Method (DDM) suitable for crack problems 13. 2D transient flow program using time dependent fundamental solution14. 3D boundary element code (Direct BEM) for solid elasticity problems15. Analytical 3D displacement discontinuous method: Stress shadow induced by movement of fault planes and fracture opening16. 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)Application18. Interface program, and mesh generation program