Depogrid Cell Subdivision via Coordinate Transformation
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Solution Overview
Problem
Existing geological modeling and simulation techniques face challenges in efficiently subdividing structured grids to achieve accurate flow behavior simulations in sedimentary basins, particularly due to the complexity of managing connections and calculating new vertices while adhering to geometrical constraints.
Innovation Solution
A method is introduced that involves setting a target value for a coordinate direction in depositional space to define a cutting plane, generating a cutting polygon to create a cutting surface, and transforming this surface to geological space using a correspondence mapping. This process subdivides depogrid cells while maintaining common planar and non-planar surfaces across the geological space.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If local grid refinement subdivision is applied to structured grids, then flow behavior simulation accuracy is improved, but device complexity and computational resource requirements increase nonlinearly
Solution Approach 1:
The patent applies segmentation by dividing the grid system into parent cells and child cells through local grid refinement. This allows selective subdivision of specific grid cells into smaller sub-cells while maintaining the original grid structure elsewhere, thereby improving flow behavior simulation accuracy in regions of interest without increasing overall system complexity nonlinearly.
Solution Approach 2:
The patent implements local quality by enabling different grid resolutions in different spatial regions. Child cells are created with finer resolution in areas requiring detailed flow behavior analysis, while parent cells maintain coarser resolution in less critical areas. This localized approach optimizes simulation accuracy where needed while controlling computational resource requirements.
2Manufacturing precision
If multiple iterations of grid cell subdivision are performed, then simulation precision is improved, but resource requirements scale nonlinearly
Solution Approach 1:
The patent applies partial action by performing subdivision iterations only on selected parent cells that require refinement, rather than uniformly subdividing the entire grid. This allows the simulation precision to be improved in critical regions while avoiding the nonlinear increase in computational resources that would result from exhaustive subdivision of all grid cells.
Solution Approach 2:
The patent implements the nested doll principle by creating a hierarchical grid structure where child cells are nested within parent cells. This nested arrangement allows multiple levels of refinement where grandchild cells can be created within child cells, enabling progressive precision improvement while efficiently managing computational resources through the hierarchical organization.
3Stability of the object's composition
If geometrical constraints of structured grids are maintained during subdivision, then grid uniformity is preserved, but ease of manufacture is reduced
Solution Approach 1:
The patent applies the intermediary principle by introducing a coordinate transformation system that acts as a mediator between the structured grid requirements and the subdivision operations. The transformation maps child cells back to the parent cell coordinate system, allowing geometrical constraints and grid uniformity to be maintained while simplifying the subdivision process through the intermediary transformation layer.
Solution Approach 2:
The patent implements copying by creating child cells as copies of parent cell structures with transformed coordinates. This copying approach preserves the geometrical constraints and uniformity of the original structured grid while enabling subdivision. The child cells replicate the parent cell's structural properties but with modified coordinate systems that reflect their refined position and dimensions.
Data Source
AI summary
A method includes setting 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. The method further includes generating 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. The cutting surface provides common planar surfaces between the plurality of depogrid cells in the depositional space. The method further includes transforming the cutting surface to a geological space using vertices of the cutting polygon and a correspondence mapping that defines a relationship between depositional coordinates and geological coordinates. The cutting surface provides common non-planar surfaces between the plurality of depogrid cells in the geological space.