Page 300 - Principles of Applied Reservoir Simulation 2E

Chapter 27

Simulator Formulation

WINB4D is an implicit pressure-explicit saturation finite difference
simulator. It can simulate isothermal Darcy flow in up to three dimensions.
Reservoir fluids are described by up to three fluid phases (oil, gas, and water),
whose physical properties are functions of pressure only. Solution gas may be
present in both the oil and water phases.

27.1 Equations

The black oil simulator mass conservation equations for the oil-, water-
and gas-phases are derived in Chapter 4. They can be succinctly written in vector
notation as follows:

Oil
a
4> -r-l (27.1)
Pose dt B
B 0 o
Water

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