Method and system for modeling geological structures using...

G - Physics – 06 – F

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G06F 17/50 (2006.01) G06T 17/05 (2011.01) G01V 11/00 (2006.01) G06T 17/20 (2006.01)

Patent

CA 2414405

A method for solving space-time problems involving three-dimensional space wherein an unstructured four-dimensional finite element model is generated and solved to produce a four-dimensional solution. The four-dimensional mesh is generated from a three-dimensional mesh by extruding each of the simplices of the three-dimensional mesh in a time dimension. The four-dimensional prisms formed by extrusion of the three-dimensional simplices are divided into a plurality of four-dimensional simplices which form a four-dimensional finite element model. The elements of the four-dimensional model can be selectively refined to obtain a finer mesh in areas of greater interest, and a coarser mesh in areas which are of less interest. The mesh can be refined in the spatial dimensions and also in the temporal dimension.

L'invention concerne un procédé servant à résoudre des problèmes spatio-temporels et faisant intervenir un espace tridimensionnel, un modèle à élément finis quadridimensionnel non structuré étant produit et résolu, d'où l'obtention d'une solution quadridimensionnelle. Le réseau quadridimensionnel est généré à partir d'un réseau tridimensionnel par extrusion de chacun des simplexes du réseau tridimensionnel dans une dimension temporelle. Les prismes quadridimensionnels formés par extrusion des simplexes tridimensionnels sont divisé en une pluralité de simplexes quadridimensionnels formant un modèle à éléments finis quadridimensionnel. Les éléments du modèle quadridimensionnel peuvent être sélectivement affinés de manière à obtenir un réseau plus fin dans les zones d'intérêt et plus grossier dans les autres zones. Ledit réseau peut être affiné dans les dimensions spatiale et temporelle.

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