Simulation of two-dimensional waterflooding by using mixed finite elements
A new method to simulate incompressible diphasic flow in two dimensions (2D) is presented. Its distinctive features include (1) a reformulation of the basic equation using the premise of a global pressure and (2) approximation of convective terms by an upwind scheme for discontinuous finite elements. A mixed finite-element method approximates both the scalar functions (pressure and saturation) and the vector functions (total velocity field and capillary diffusion vector). The pressure (resp. the saturation) is approximated by a discontinuous function piecewise constant (resp. linear) on the elements of the mesh. A basis of divergence-free vectors is used in the pressure equation, which accelerates computation. Several test examples, which include gravity and capillary effects, are presented.
- Research Organization:
- INRIA
- OSTI ID:
- 6252826
- Journal Information:
- SPEJ, Soc. Pet. Eng. J.; (United States), Vol. 24:4
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
DISPLACEMENT FLUIDS
FLOW MODELS
OIL WELLS
WATERFLOODING
RESERVOIR FLUIDS
COMPUTERIZED SIMULATION
DIFFUSION
FINITE ELEMENT METHOD
FUNCTIONS
INCOMPRESSIBLE FLOW
OIL SATURATION
RESERVOIR PRESSURE
RESERVOIR ROCK
TWO-DIMENSIONAL CALCULATIONS
TWO-PHASE FLOW
VECTORS
FLUID FLOW
FLUID INJECTION
FLUIDS
MATHEMATICAL MODELS
NUMERICAL SOLUTION
SATURATION
SIMULATION
TENSORS
WELLS
020300* - Petroleum- Drilling & Production