Data processing: structural design – modeling – simulation – and em – Modeling by mathematical expression
Reexamination Certificate
2007-04-03
2007-04-03
Phan, Thai (Department: 2128)
Data processing: structural design, modeling, simulation, and em
Modeling by mathematical expression
C703S010000, C702S006000, C702S011000, C702S017000
Reexamination Certificate
active
10695899
ABSTRACT:
A method for rapidly forming a stochastic model of Gaussian or related type, representative of a porous heterogeneous medium such as an underground reservoir, constrained by data characteristic of the displacement of fluids. The method comprises construction of a chain of realizations representative of a stochastic model (Y) by gradually combining an initial realization of (Y) and one or more other realization(s) of (Y) referred to as a composite realization, and minimizing an objective function (J) measuring the difference between a set of non-linear data deduced from the combination by means of a simulator simulating the flow in the medium and the data measured in the medium, by adjustment of the coefficients of the combination. The composite realization results from the projection of the direction of descent of the objective function, calculated by the flow simulator for the initial realization, in the vector subspace generated by P realizations of (Y), randomly drawn and independent of one another, and of the initial realization. During optimization, the chain is explored so as to identify a realization that allows minimizing the objective function (J). In order to sufficiently reduce the objective function, sequentially constructed chains are explored by taking as the initial realization the optimum realization determined for the previous chain. The method may be used for development of oil reservoirs.
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Hu Lin-Ying
Le Ravalec-Dupin Mickaële
Antonelli, Terry Stout & Kraus, LLP.
Institut Francais du Pe'trole
Phan Thai
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