NUMERICAL INVESTIGATION OF COUPLED ANOMALOUS DIFFUSION AND HEAT TRANSFER DURING THERMAL DISPLACEMENT PROCESS IN POROUS MEDIA UNDER LOCAL THERMAL EQUILIBRIUM
Bibliographic record
Abstract
Heterogeneities are acknowledged to exist on many different length scales in geological media and outcrops, leading to a huge range of fluid velocities, porosities, and effective thermal conductivities. In this regard, existing continuum-based non-isothermal simulation models may not always be accurate for predicting transport behavior in highly heterogeneous reservoir rocks, or fractured rocks with fractal geometry. In the present study, the fractional calculus theory is adopted to simulate anomalous fluid and heat transport in porous media under non-isothermal flow conditions. The resulting coupled mathematical model is developed under the assumption of local thermal equilibrium (LTE) and is handled numerically by employing existing finite difference and finite volume numerical discretization methods. Numerical experiments performed indicate that transport behavior of the anomalous non-isothermal model differs significantly from the classical non-isothermal formulation which is based on Darcy flux and Fourier-flux constitutive relations. The simulation results indicate that the sub-diffusive regime leads to a higher pressure-drop through the porous media. In addition, the rate of heat propagation in the porous media is noted to be retarded when the order of fractional differentiation deviates from unity. This study demonstrates the use of fractional calculus as a tool to characterize complex transport behavior observed in heterogeneous porous media.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.001 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.001 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.001 | 0.001 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.001 | 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 itClassification
machine, unvalidatedMachine predicted; a candidate call from one source (direct Gemma or distilled Codex), 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".