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

<p>Fundamentals<br>1. Fundamental elasticity equations <br>2. Flow through porous media<br>3. Tensor notation or index notation<br>4. Fundamental solutions</p> <p>Theoretical development<br>5. Boundary element methods<br>6. Discretization of integral equations<br>7. Numerical integration<br>8. System of linear equations<br>9. Discretization of the system of equations for fluid flow through porous media</p> <p>Programing<br>10. 2D structure code (Direct BEM) with stiffness matrix without numerical integration<br>11. 2D Structure code (Direct BEM) with stiffness matrix with numerical integration<br>12. 2D Discontinuous Boundary Element Method (DDM) suitable for crack problems <br>13. 2D transient flow program using time dependent fundamental solution<br>14. 3D boundary element code (Direct BEM) for solid elasticity problems<br>15. Analytical 3D displacement discontinuous method: Stress shadow induced by movement of fault planes and fracture opening<br>16. 3D static fracture model using the dual boundary element method    <br>17. 3D fracture propagation code coupled with 2D finite element flow and 3D fracture code (DDM)<br>Application<br>18. Interface program, and mesh generation program</p>