T-surf Corporation

Societe Nationale Elf Aquitaine (production)

Compagnie Generale De Geophysique

Total Compagnie Francaise Des Petroles

Association Scientifique Pour La Geologie Et De Ses Applications

Jean-Laurent Mallet

Richard Cognot

T Ait Ettajer

A method of establishing continuity of a property which is interpolated over a surface defined by at least two primary nodes. The method includes identifying first and second portions of a boundary which defines a discontinuity in the surface. The method further includes defining the first and second portions of the boundary by at least one secondary node on each portion, and interpolating the property from a first primary node to a second primary node by utilizing the secondary nodes. When the property is characterized by determined values at primary nodes on the surface, the continuity of the property can be established as substantially the same value of the property at the selected secondary nodes. When the surface is characterized by a given gradient at each of the secondary nodes, the continuity of the property can be established as substantially the same gradient at the selected secondary nodes.

Modeling continuous properties on discontinuous surfaces

Methods and apparatus for mapping a feature onto a simulated surface having contoured portions, the surface being definable by a plurality of generally adjacent triangulations, the surface being further definable by a plurality of intersecting isoparametric curves linking identified values of the feature to identified points on the surface. In one embodiment, the isoparametric curves are characterized in that when the surface is flat, the isoparametric curves intersect one another in a perpendicular manner, and the perpendicularity of the intersections on the contoured portions of the surface is maintained. In another embodiment, the isoparametric curves are characterized in that when the surface is flat. The isoparametric curves are spaced a predetermined distance apart, and the spacing of the intersections on the contoured portions of the surface is maintained. In a third embodiment of the invention, the isoparametric curves are characterized by defined mathematical relationships having a plurality of variables associated with at least the topology of the surface, and at least one of the variables is held constant between isoparametric curves. Preferably, each of the triangulations are characterized by vertices terminating at points on the surface, and the method further includes using the vertices to define a gradient of a mathematical function associated with the feature, which function is interpolated over the triangulated surface.

Global constrained parameterization of triangulated surfaces

Method for modelling a surface and device for implementing same

Growing community of inventors

Nancy, France

Jean-Laurent Mallet