Method for determining zones in a stratified medium where...

Data processing: structural design – modeling – simulation – and em – Simulating nonelectrical device or system – Fluid

Reexamination Certificate

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C703S009000

Reexamination Certificate

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10542490

ABSTRACT:
The invention relates to a method for determining the zones of a stratified porous medium whose physical properties are known, wherein the front or interface between fluids in place and injected flushing fluids moves in a stationary manner, without using a complete flow simulation. Starting from an a priori defined front form which separates two zones of uniform saturation, assumed to have a stationary displacement, the pressure field is determined independently in each zone. The pressure jump on either side of the front is then evaluated for any point of the interface. If it is zero, the form of the front is such that it can move in a stationary manner in the medium. If the pressure jump is not zero, the user deforms the interface and resumes the process until a stationary form is obtained. This process may not converge. In this case, we consider that a stationary front cannot form through the total thickness of the medium and the medium is divided so as to seek solutions in intermediate zones.

REFERENCES:
Popinet et al.; A Front-Tracking Algorithm for Accurate Representation of Surface Tension; Int. J. Numer. Meth. Fluids 30: 775-793 (1999).
Karlsen et al.; A front-tracking approach to two-phase fluid-flow model with capillary forces; Citeseer; 1997; pp. 1-29.
Sheldon et al.: “The Motion of an Interface Between Two Fluids in a Slightly Dipping Porous Medium”, SPE, Society of Petroleum Engineers Inc., 1962, pp. 275-282, XP002261168 pp. 275-p. 280.
Glimm J. et al.: “Front Tracking for Petroleum Reservoir Simulation” SPE, Society of Petroleum Engineers Inc., 1983, pp. 41-49, XP002261169.
Yortsos: “Analytical Studies for Processes at Vertical Equilibrium ” SPE, Society of Petroleum Engineers Inc., 1992, pp. 1-14, XP002261170, p. 1-p. 12.
Darman et al.: “Upscaling Immiscible Gas Displacements: Quantitative Use of Fine Grid Flow Data in Grid Coarsening Schemes” SPE, Society of Petroleum Engineers Inc., 2000, pp. 1-14, XP002262271, p. 1-p. 14.
English translation of the Written Opinion of the International Searching Authority.

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