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

2D/3D Boundary Element Programming in Petroleum Engineering and Geomechanics, Volume 72, is designed to make it easy for researchers, engineers and students to begin writing boundary element programs. This reference covers the fundamentals, theoretical developments, programming and applications. Both fluid flow through porous media and structural problems are used for coding exercises. Included computer programs may be used as starting codes; after modifications, they can be applied to real world problems. The book covers topics around mesh generation, 3D boundary element coding, and interface coding for controlling mesh generation, and plotting results.

Autorentext
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.

Inhalt

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

5. Discretization of integral equations
6. Numerical integration
7. System of linear equations

8. 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

9. 2D Structure code (Direct BEM) with stiffness matrix with numerical integration
10. 2D Discontinuous Boundary Element Method (DDM) suitable for crack problems
11. 2D transient flow program using time dependent fundamental solution
12. 3D boundary element code (Direct BEM) for solid elasticity problems
13. Analytical 3D displacement discontinuous method: Stress shadow induced by movement of fault planes and fracture opening
14. 3D static fracture model using the dual boundary element method
15. 3D fracture propagation code coupled with 2D finite element flow and 3D fracture code (DDM)
    Application
16. Interface program, and mesh generation program