Alternative Unsaturated Flow Analyses for the Falling‐Head Ring Infiltrometer
Bibliographic record
Abstract
The Green–Ampt expression for determining field‐saturated hydraulic conductivity ( K fs ) and matric flux potential (ϕ m ) from falling‐head ring infiltrometer measurements produces a singularity when the standpipe cross‐section divided by the ring cross‐section ( R ) equals the change in porous medium water content (Δθ). As R = Δθ is clearly possible in wet, low‐permeability materials, the objective of this study was to develop an alternative falling‐head ring infiltrometer analysis that applies for 0 < R < +∞, including R = Δθ. This was accomplished by replacing the natural logarithm in the Green–Ampt analysis with a Taylor series expansion, which removes the ( R − Δθ) divisor from the analysis. The Taylor series form of the Green–Ampt expression collapses to a simple algebraic expression when R = Δθ. Combining this algebraic expression with a similar analysis developed for gravitationless infiltration provides an improved approximate relationship for estimating K fs when standpipe drawdown is small and R < Δθ.
Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.
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 | 0.001 | 0.002 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.002 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.000 | 0.001 |
| 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".