Mathematical modeling of membrane system for hydrocarbon gas (C1 – C3) recovery in polyethylene plant
Bibliographic record
Abstract
This study proffers a solution to the issue of hydrocarbon loss in petrochemical plants. Three sections were identified as locations where the loss occurred during the polyethylene production operations within the Indorama polyethylene plant facility. This study focused on developing a hollow-fiber membrane system designed to enhance the recovery of methane, ethylene, and propylene within polyethylene production plants. The membrane model was developed and analyzed for use in the Indorama polyethylene plant to predict the recovery of hydrocarbon gas at designated points of loss. Comprehensive modeling showed that the system was described by eleven coupled ordinary differential equations accounting for mass, energy, and momentum. The model equations were discretized into a set of algebraic equations using the orthogonal collocation method, and the solution to these equations was obtained using the Newton-Raphson method. The results showed a remarkable recovery of methane (~86%), ethylene (~80%), and propylene (~91%) on the shell side while capturing about 82% of carbon dioxide on the fiber side. These results were achieved using the spirobisindane-based ladder polymer (PIM-1) membrane material under 90 bar and 2 bar pressure on the shell and fiber side, respectively, with a membrane area of 6900 m2. These findings were instrumental in assessing the effectiveness of the PIM-1 for recovering these hydrocarbon gases.
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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 | 0.001 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.001 |
| 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".