Course Definition:
Application of finite-difference equations to multi-phase fluid flow in porous media in two or three dimensions with gravity and capillary pressure effects. Simulation of water-flood performance and enhanced recovery techniques.

Policy:

  • Homeworks & Projects 35%
  • Tests & Quizzes 40%
  • Final 25%

  • Homework and projects are due at the time specified.
  • Late homework or projects: 5% penalty for every class meeting.
  • Attendance: Required.

Text Book:
"Basic Applied Reservoir Simulation," Ertekin, Abou-Kassem, King.
Clcik Here to see this book in SPE store.

Books extensively used during the semester:
"Elements of Reservoir Modeling," S. M. Faruq Ali.

"Petroleum Reservoir Simulation," Aziz, Settari.

Check Your Homeworks, Grades, and your records regarding missing classes and being late Here:


Syllubus:
Chapter 1: INTRODUCTION (Week - 1)
Chapter 2: INTRODUCTION TO FINITE DIFFERENCE CALCULUS
  • Using Calculus of Differences
  • Using Taylor Series
  • Simple Applications
(Weeks - 2,3)
Chapter 3: Grid Types and Boundary Conditions
  • Block Centered Spacing
  • Mesh Centered Spacing
  • Boundary Conditions

POLAR GRIDS

  • Curvilinear Grid Systems
  • Singularities
(Weeks - 4,5)
Chapter 4: SOLUTION TECHNIQUES
  • Jacoby's Method
  • Gauss-Seidel Method
  • Successive Over-Relaxation Methods
    • Pointwise Over-Relaxation Methods
    • Linewise Over-Relaxation Methods
    • Plainwise Over-Relaxation Methods
  • Convergence Criteria
    • Rate of Convergence
    • Acceleration Parameters
  • Systematic Iterative Methods in Matrix Form
(Weeks - 6 to 9)
Chapter 5: SOLUTION OF ELLIPTIC EQUATIONS
  • Incompressible Flow Equations
    • Continuity Equation
    • Discretization
    • Transmissibility Concept
    • Direct Solution Formulation
    • Thomas's Algorithm
(Weeks - 10,11)
Chapter 6: SOLUTION OF PARABOLIC EQUATION
  • Slightly Compressible and Compressible Flow Equations
    • Explicit Finite Difference Scheme
    • Implicit Finite Difference Scheme
    • Truncation Error Analysis
    • Consistency Analysis
    • Stability Analysis
    • ADIP Procedure
    • SIP Procedure
    • Newton-Raphson Method for Non-Linear System of Equations
(Weeks - 12-14)
Chapter 7: SOLUTION OF HYPERBOLIC EQUATIONS
  • Difference Scheme
  • Time Weighing
  • Numerical Dispersion and Introduction to Truncational Error Analysis
(Weeks - 15)

Problem Sets:

Projects:

Group Performance:

Projects: