Abstract: Method for generating a 3D grid, and for defining a material property model on the grid, to use, for example, in a reservoir simulator. A mapping is defined (61,71) to a design space in which the material property is described as a piecewise smooth implicit or explicit function in three dimensions. Grid geometry is constructed only in the physical space of the model (62-65, 73-76), and no grid is required in the design space. The material property, for example permeability, is sampled in the design space (66,77) to populate the cells in the grid constructed in the physical domain. Prismatic grid cells may be truncated based on faults and horizons (65), or maybe conformed to fault surfaces using a 3D parameterization of the model (76). Only forward mapping, i.e. from the physical domain to the design space, is required.

Abstract: A method of generating a volumetric data structure of a subsurface region, including: obtaining, with a computer, a volume segment of the subsurface region, wherein the volume segment is bounded by a first horizon and a second horizon, and by a plurality of lateral surfaces formed by faults and boundaries of a geological model corresponding to the subsurface region; obtaining, with the computer, an isomorphic triangulation of the first horizon of the volume segment; deforming, with the computer, the isomorphic triangulation of the first horizon of the volume segment to fit a boundary of the second horizon of the volume segment; after the deforming, creating, with the computer, a template grid from the first horizon of the volume segment and the second horizon of the volume segment; generating, with the computer, layer sections from the template grid by cutting the template grid by lateral surfaces of the volume segment; and generating, with the computer, the volumetric data structure of the subsurface reservo

Abstract: Method for generating a 3D grid, and for defining a material property model on the grid, to use, for example, in a reservoir simulator. A mapping is defined (61,71) to a design space in which the material property is described as a piecewise smooth implicit or explicit function in three dimensions. Grid geometry is constructed only in the physical space of the model (62-65, 73-76), and no grid is required in the design space. The material property, for example permeability, is sampled in the design space (66,77) to populate the cells in the grid constructed in the physical domain. Prismatic grid cells may be truncated based on faults and horizons (65), or maybe conformed to fault surfaces using a 3D parameterization of the model (76). Only forward mapping, i.e. from the physical domain to the design space, is required.