Nonlinear Simulation of Thermo-viscous Fingering in Miscible Displacements in Porous Media
Bibliographic record
Abstract
The nonlinear simulation of interfacial instabilities in miscible displacements in porous media often requires sophisticated numerical algorithms as well as very fine spatial and temporal resolutions. In this study, Hartley transform based pseudo-spectral method is used to simulate time evolution of thermoviscous fingers in rectilinear geometry. The problem is formulated using continuity equation, Darcy's law, and volume-averaged forms of convection-diffusion equation for mass and energy balance. The numerical code is validated against established results for isothermal displacements. The effects of exponential dependence of viscosity on concentration and temperature, Lewis number, and porosity on the stability of the thermo-viscous flow are examined. It has been generally observed that at practical values of porosity and Lewis number, the thermal front always lags behind the fluid front and the instability is dominated by the viscosity variation due to concentration.
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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".