Three-Dimensional Analysis of the Thermal Interaction of Multiple Vertical Ground Heat Exchangers
Bibliographic record
Abstract
The use of ground heat pumps for heating and cooling buildings is receiving increasing attention due to their many benefits. But such systems have some challenges regarding the long-term use of groundwater for thermal purposes, including the sustainability of the systems. Interference between adjoining installations is being reported, raising issues of sustainability in terms of performance and equitable sharing of natural resources. To help address this issue, an investigation is reported here of the thermal interaction of vertical ground heat exchangers, in which two- and three-dimensional transient heat conduction is examined in the soil around vertical ground heat exchangers. A finite volume numerical solution is applied using FLUENT software. The research extends a previous study in which the analytical results of the line source theory are validated using two-dimensional numerical results, which inherently neglects axial heat transfer effects. The three-dimensional numerical study reported here accounts for axial heat transfer in the soil surrounding a borehole. It is demonstrated that a specified length exists for which the heat from the borehole wall is only conducted in the radial direction and the results of the two-dimensional heat conduction approach are valid.
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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 | 0.000 |
| Open science | 0.000 | 0.001 |
| Research integrity | 0.001 | 0.000 |
| Insufficient payload (model declined to judge) | 0.002 | 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".