Method of generating a grid on a heterogenous formation...

Data processing: structural design – modeling – simulation – and em – Modeling by mathematical expression

Reexamination Certificate

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Reexamination Certificate

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07047165

ABSTRACT:
A method of generating a hybrid grid of a heterogeneous formation crossed by one or more geometric discontinuities such as, for example, an underground formation where one or more wells have been drilled, or a fractured formation, by combining structured grids and non-structured grids in order to carry out simulations in accordance with a defined numerical pattern is disclosed. Hybrid gridding is performed by associating a first structured grid (G1) for gridding of the heterogeneous medium considering discontinuities thereof with second structured, radial type grids (G2) for gridding of a zone around each pipe or well, which allows better consideration of constraints linked with flows in the zone. In order to connect the first grid of the medium and the second well grids, non-structured transition grids (G3) are interposed there between. A power diagram technique is used, which is particularly advantageous in that it allows appropriate connection of non-regular structured grids. An application is hydrocarbon reservoir simulation.

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Marc Soucy et al, “A General Surface Approach to the Integration of a Set of Range Views”, IEEE Transactions on Pattern Analysis and Machine Intelligence, U.S., IEEE Inc., New York, vol. 17, No. 4, Apr. 1, 1995, pp. 344-358, XP000499566, ISSN: 0162-8828.
F. Aurenhammer, “Power diagrams: Properties, Algorithms and Applications”, Siam Journal of Computing, Feb. 1987, USA, vol. 16, No. 1, pp. 78-96, XP000900943, ISSN: 0097-5397.

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