Gradient Direction Rotation for Geological Feature Modeling
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Solution Overview
Problem
In multidimensional environments, such as sedimentary basins, limited information makes it difficult to accurately model features like channels, leading to erroneous linear representations due to underlying physical phenomena, which can be addressed by generating a scalar field from gradient directions and applying local rotations to improve spatial representation.
Innovation Solution
A method involving a two-dimensional grid of cells, where direction information is used to trace trajectories, determine scalar field values, and apply a map to redistribute spatially distributed variables, allowing for more accurate representation of features by introducing stochastic character and refining model data.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Ease of manufacture
If linear interpolation is used to represent features between two points, then the representation is simple and straightforward, but the representation becomes erroneous and does not reflect the true geological features that vary with position
Solution Approach 1:
The patent applies preliminary rotations to the gradient directions before generating the scalar field. By pre-rotating the gradient directions to align with the desired feature orientation (e.g., channel strike direction), the subsequent scalar field generation and linear interpolation automatically produce geologically realistic features without requiring complex post-processing corrections
Solution Approach 2:
The patent transforms the gradient direction parameters by applying rotations to account for geological structures. This parameter transformation allows the simple linear interpolation method to work effectively by modifying the input gradient directions to reflect the underlying geological variability, thereby improving representation accuracy while maintaining computational simplicity
2Manufacturing precision
If gradient directions are used to generate a scalar field, then the spatial representation accuracy is improved, but the computational complexity and processing steps increase
Solution Approach 1:
The patent performs preliminary rotations on the gradient directions before scalar field generation. This pre-processing step simplifies the overall computational process by aligning the gradients with the dominant geological structure, reducing the need for iterative adjustments or complex post-processing operations
Solution Approach 2:
The patent applies parameter transformations (rotations) to the gradient directions to reflect geological reality. This transformation approach maintains computational efficiency by using closed-form rotation solutions rather than requiring complex iterative optimization, thereby improving accuracy without proportionally increasing computational complexity
Data Source
AI summary
A method can include defining a two dimensional grid of cells for a region associated with a geologic environment, assigning directions to at least some of the cells, tracing a first set of trajectories with respect to the grid based on the directions, determining a first set of scalar field values based on the first set of trajectories, rotating the directions, tracing a second set of trajectories with respect to the grid based on the rotated directions, determining a second set of scalar field values based on the second set of trajectories, outputting a map based on the first set of scalar field values and the second set of scalar field values and applying the map to map a spatially distributed variable in the region associated with the geologic environment. Various other apparatuses, systems, methods, etc., are also disclosed.