A Semi‐Analytical Solution to Evaluate the Spatiotemporal Behavior of Diffusive Pressure Plume and Leakage From Geological Storage Sites
Bibliographic record
Abstract
Abstract Analytical and semi‐analytical approaches provide an easy‐to‐use tool to verify the success of long‐term and large‐scale deployment of subsurface CO2 storage. Existing classical solutions lack significant features that are essential in the interpretation of the spatiotemporal evolution of pressure plume. We, obviating the limiting assumptions, report a novel general semi‐analytical solution to a physical problem where a storage layer and a caprock are embedded in an infinite medium. We exploited the features of an integral transform technique and Laplace transform to derive the new solution. An effective numerical treatment is suggested to evaluate the obtained solutions. We identify a distorted Gaussian spatiotemporal pressure plume for the cases when the overburden/underburden permeabilities are less than that of the storage layer. We investigate the nature of temporal behavior of leakage rates and identify a scaling relation in the form of Ld ∝ td1/2 for dimensionless leakage rate and time. We also present a benchmark pressure trend to detect the pressure anomaly signaling potential brine and CO2 leakage. This theory will be invoked as a benchmark analytical study in fields where diffusion is of immense interest.
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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 | 0.002 |
| 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 | 0.001 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.001 | 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".