Extended Walton third-order elastic coefficients modified by an anisotropic and stress-dependent coordination number
Bibliographic record
Abstract
ABSTRACT Relating subsurface stress to velocity anisotropy can provide quantitative insight into the effects of reservoir production. Rock-physics models using effective medium theory for unconsolidated sands can be built to establish this link, although empirical corrections are often required. In pursuit of this goal, fractional changes in elastic moduli have been related to fractional changes in stress through a perturbation analysis of the extended Walton model. The stress path considered was composed of isotropic loading followed by an arbitrary stress perturbation. The coefficients derived are dependent on granular elastic moduli and the proportion of grains with no-slip contacts but are conveniently independent of strain and porosity. A modification of these relationships has been introduced using an anisotropic stress-dependent coordination number, whose parameters can be derived from isotropic moduli-stress experiments. The inclusion of an anisotropic coordination number improved the model’s fit to experimental results of unconsolidated sands subject to anisotropic loading.
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How this classification was reachedexpand
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) | 0.000 | 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 itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".