Abstract: A method for three-dimensional modelling of a geological volume, which consists in defining cells adapted to the critical surfaces of the geological volume to be modelled; defining an assembly of polyhedral macrocells (M) adapted to the geometry (1) of the geological layers of the volume to be modelled; parametering the geological space to match the observed geological domain and a parametric domain by associating with a point belonging to the geological domain an image point located in the parametric domain; then defining a virtural subdivision of the polyhedral macrocells (M) into hexahedral microcells (m) whereof the geometry is obtained by subdividing the geometry of each macrocell (M).

Abstract: A method for three-dimensional modelling of a geological volume, which consists in defining cells adapted to the critical surfaces of the geological volume to be modelled; defining an assembly of polyhedral macrocells (M) adapted to the geometry (1) of the geological layers of the volume to be modelled; parametering the geological space to match the observed geological domain and a parametric domain by associating with a point belonging to the geological domain an image point located in the parametric domain; then defining a virtural subdivision of the polyhedral macrocells (M) into hexahedral microcells (m) whereof the geometry is obtained by subdividing the geometry of each macrocell (M).

Abstract: 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.

Abstract: 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.