Porous media: fluid distributions and transport with applications to petroleum recovery

Thesis/Dissertation · Tue Jan 01 00:00:00 EST 1985

OSTI ID:5371198

Heiba, A E.A.

Multiphase flows of the sort encountered in petroleum recovery processes are analyzed from microscopic and continuum points of view. On the microscopic level, a statistical, percolation-based, pore-network theory is developed to model the relative permeabilities and capillary pressures that characterize the Darcy transport and capillarity-controlled spatial distributions of two phases, e.g. oil and water, or three phases, e.g. gas, oil and water, in porespace. Inputs to the theory are a disordered bond network or tree to model the chaotic connectivity of porespace. The bonds, which represent lumped pore-segments, are characterized by a single distributed parameter, throat-radius, with which all other pore dimensions are regarded as perfectly correlated. Phases are assigned to the bonds according to capillary pressure levels, wettabilities, and past assignments of fluids to the bonds. These criteria and accessibilities evaluated with percolation theory in turn define pore-filling sequences of occupancy and allowability from which follow predictions of saturations and relative permeabilities. On the continuum level, the statistical theory is combined with an adaptive finite element method to simulate the one-dimensional flow of two and three phases, as in cores taken from reservoir rock. The combined simulation approach draws needed predictions of relative permeabilities and capillary pressures from the statistical theory, so that the need for experimental data is reduced. The adaptive finite element method used to solve the equations that describe the transport of the phases automatically refines subdomains in zones where fluid content changes rapidly. This makes it possible to resolve accurately any fronts that form.

• Research Organization: Minnesota Univ., Minneapolis (USA)
• OSTI ID: 5371198
• Resource Relation: Other Information: Thesis (Ph. D.)
• Country of Publication: United States
• Language: English

Related Subjects

02 PETROLEUM
OIL WELLS
FLOW MODELS
MULTIPHASE FLOW
ASSOCIATED GAS
CAPILLARY FLOW
FINITE ELEMENT METHOD
PERMEABILITY
PETROLEUM
POROUS MATERIALS
RESERVOIR PRESSURE
SIMULATION
WATER
ENERGY SOURCES
FLUID FLOW
FLUIDS
FOSSIL FUELS
FUELS
GASES
HYDROGEN COMPOUNDS
MATERIALS
MATHEMATICAL MODELS
NUMERICAL SOLUTION
OXYGEN COMPOUNDS
WELLS
020300* - Petroleum- Drilling & Production