Dimensional Analysis and Scale-up of Immiscible Two-Phase Flow Displacement in Fractured Porous Media under Controlled Gravity Drainage
Bibliographic record
Abstract
Oil production from a fractured reservoir, composed of a gas cap and an oil zone, is usually accomplished using surface or submersible pumps. The production method is called controlled gravity drainage (CGD). In the CGD mode of production, the pumps usually operate under a constant withdrawal rate until gas breakthrough, at which time the pumping rate would be influenced by the presence of gas at the production well. In this paper, we describe immiscible displacements in fractured porous media to have a better understanding of the process. Oil−gas CGD displacements were conducted using a laboratory flow apparatus in the fractured glass bead systems. A detailed dimensional analysis was conducted to scale up the experimental results based on the physics of the CGD process and experimental findings. Dimensional analysis of immiscible two-phase flow in porous media allows for quantification of the influences of petrophysical properties of the fractured media and physical properties of test fluids on some important aspects, such as critical pumping rate and recovery factor at gas breakthrough. In this work, an empirical model based on the dimensional groups of the system obtained from the Buckingham π theorem was employed to investigate the gravity drainage process in a fractured porous medium. A model was developed to predict the critical pumping rate, maximum withdrawal rate, distance between the gas−liquid (G−L) interface positions within the matrix and fractures, and recovery factor just before gas breakthrough for fractured porous media undergoing the CGD processes. The model was tested against experimental and field data of oil production under CGD. The results demonstrate that the model gives satisfactory prediction for the oil−gas drainage systems. The procedure outlined in this paper also has potential applications in modeling immiscible displacements.
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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 | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| 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".