Day 1 :MAIN PHYSICAL LAWS
Porosity
Darcy’s law
Relative Permeability
Capillary pressure
The continuity equation

Day 2 :
SLIGHTLY COMPRESSIBLE MONOPHASIC FLOW
From physical case to mathematical model
From math model to numerical model
Study of stability and convergence of numerical methods
Build a numerical simulator using “SCILAB software” and show numerical experiences

Day 3 :
SIMULTANEOUS FLOW OF 2 IMMISCIBLE FLUIDS INCOMPRESSIBLE, HORIZONTAL
Without capillary-pressure
From physical case to math model
Study of the saturation equation “The Buckley-Leverett equation”
Study of stability and convergence. Build a numerical simulator and show numerical experiences
2-D problem front tracking and grid effects
Study of the five – Spot pattern – Build the math model and the numerical model
Present numerical experiments – Front tracking – Grid effects
Compare the results with solution of equivalent “moving boundary problem”

Day 4 :
SIMULTANEOUS FLOW OF 2 IMMISCIBLE FLUIDS INCOMPRESSIBLE, HORIZONTAL
With capillary-pressure
From physical case to math model
Study of the saturation equation with capillary pressure
Study of the “boundary conditions”
Build a numerical simulator and present numerical experiments

Day 5 :
THE BLACK-OIL MODEL
Thermodynamic model for the two phases flow of two components (oil and gas)
Build the mathematical “black-oil model”
Derive the numerical model
The IMPES method