Abstract: A model is created by distributing a plurality of points in the volume in the absence of a grid. Each point has a location. A first vector, having a length, a magnitude representing the value of the geological property in the neighborhood of the first point, and a direction representing the direction of maximum continuity, derived from a geological property in the neighborhood of the location of the first point, is assigned to a first point of the plurality of points. The direction of maximum continuity is the direction along which the magnitude of the geological property stays substantially the same for the greatest distance when moving away from the first point. The length of the first vector represents the distance from the first point in the direction of the first vector that the magnitude and direction of maximum continuity of the geological property stay substantially the same.

Abstract: A model of the geological properties in a volume of the earth is created by distributing a plurality of points in the volume in the absence of a grid. Each point has a location. A first vector is assigned to a first point of the plurality of points. The first vector has a length, a magnitude, and a direction derived from a geological property in the neighborhood of the location of the first point. The magnitude of the first vector represents the value of the geological property in the neighborhood of the first point. The direction of the first vector represents the direction of maximum continuity. The direction of maximum continuity is the direction in the volume along which the magnitude of the geological property stays substantially the same for the greatest distance when moving away from the first point.