Methodology for the nonlinear coupled multi‐physics simulation of mineral dissolution
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Bibliographic record
Abstract
Abstract This article presents a numerical methodology for the simulation of mineral dissolution which couples brine flow, dissolved mineral transport, and cavity evolution. The proposed model considers both (1) the varying density brine flow within the cavity governed by the compressible Navier‐Stokes equations and (2) the evolution of the cavity boundary using a sharp interface model with a physically‐derived dissolution rate equation. The proposed nonlinear multi‐physics model can capture complex flow patterns such as the generation of a vortex in the cavity. The impact of those complex flow patterns on the cavity development can be studied because of the coupling of brine flow and dissolution front movement. The model employs a new strategy to explicitly track the dissolution front, which results in low computational cost for long‐term dissolution simulations. The proposed model is verified through a convergence analysis, showing both spatial and temporal convergence. Numerical simulations of mineral dissolution in horizontal cavities are conducted to investigate the flow velocity, mass fraction of dissolved mineral, cavity shape evolution, and dissolution rate over time. Additionally, a discussion on the effect of Peclet number on mineral dissolution in the cavity is undertaken.
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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 | 0.001 | 0.005 |
| 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 it