ANALYSIS OF THE DISPLACEMENT IN FRACTAL LATTICES WITH DIFFERENT NUMBER OF GRIDS
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Bibliographic record
Abstract
Two-dimensional (2-D) fractal lattices, that can be representative of fracture surface/aperture roughness or 2-D permeability distribution in a porous medium, are generated using fractional Brownian motion (fBm) for different grid sizes. Invasion percolation simulations are applied on these lattices to investigate the influences of the grid size on displacement. It is found that the selection of the number of grids for computer experimentation of displacement processes is critical. The fractal dimension of the invasion cluster decreases with increasing fractal dimension of the lattice and the number of grids of the lattice. In modeling the displacement processes in fractal porous media or a single fracture between two rough surfaces, consistent fractal behavior is expected any value of the number of grids above 128 × 128. Hence, one should be careful in selecting the number of points in measuring the permeability distribution in a 2-D porous medium or roughness of the fracture surfaces.
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Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.001 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it