Unstructured grid cell subdivision

A system comprising:

• a processor;
• and
• memory operatively coupled to the processor, the memory storing instructions that, when executed by the processor, cause the system to:
• set a target value for a coordinate direction of a depositional space to define a cutting plane that cuts a depogrid cell at the target value in the coordinate direction;
• generate a cutting polygon that bounds a planar region of the cutting plane to define a cutting surface at the target value that subdivides the depogrid cell into a plurality of depogrid cells in the coordinate direction;
• triangulate the cutting surface in the depositional space using vertices of the cutting polygon to create a set of triangular surfaces, wherein the set of triangular surfaces provides common planar surfaces between the plurality of depogrid cells in the depositional space;
• and
• transform the set of triangular surfaces to a geological space using a correspondence mapping and the vertices of the cutting polygon, wherein the correspondence mapping defines a relationship between depositional coordinates and geological coordinates, and the set of triangular surfaces provides common non-planar surfaces between the plurality of depogrid cells in the geological space.

A non-transitory computer-readable medium comprising computer-executable instructions that, when executed, are configured to cause a processor to perform operations comprising:

• setting, by the processor, a target value for a coordinate direction of a depositional space to define a cutting plane that cuts a depogrid cell at the target value in the coordinate direction;
• generating, by the processor, a cutting polygon that bounds a planar region of the cutting plane at the target value;
• generating, by the processor, a control point in the depositional space using a ray that extends orthogonally with respect to the cutting plane, wherein the cutting polygon and the control point define a cutting surface at the target value that subdivides the depogrid cell into a plurality of depogrid cells in the coordinate direction, and the cutting surface provides common planar surfaces between the plurality of depogrid cells in the depositional space;
• and
• transforming, by the processor, the cutting surface to a geological space using a correspondence mapping, the control point, and vertices of the cutting polygon, wherein the correspondence mapping defines a relationship between depositional coordinates and geological coordinates, and the cutting surface provides common non-planar surfaces between the plurality of depogrid cells in the geological space.