Experimental And Mathematical Study Of Multi-Component Gas/Oil Displacement With Constant Pressure Boundaries
Bibliographic record
Abstract
Summary In this paper multi-component gas/oil displacements with constant pressure boundaries are studied mathematically and experimentally. Mathematically, a novel generation of Buckley-Leverett’s classic fractional flow theory is applied to analytically solve the problem of multi-component gas/oil displacements under constant pressure boundaries. Experimentally, slim tube tests under constant pressure boundary condition are conducted to validate the assumptions made in the mathematical section and thus confirm the innovative analytical solution. All the previous studies in gas/oil displacement problems have been accomplished under the assumption of constant flux boundaries. In practice however, gas flooding projects are often conducted with constant injection pressure and constant producing well pressure. Therefore, a fast and accurate analytical solution will be a powerful tool for IOR/EOR scenario simulations. Conservation of mass in a one-dimensional, dispersion-free medium, for a multi-component gas/oil displacement system leads to a set of partial differential equations. The solution of the corresponding initial value problem under constant flux boundary conditions consists of rarefaction waves, shock waves and constant states connecting the injection state to the production state. In incompressible systems with constant pressure boundaries, the total volumetric flux is a function of time and hence, the classical Buckley-Leverett theory is not valid. However, the saturation wave structure obtained from the constant flux boundary condition problem can be used in the solution of the associated problem with constant pressure boundaries by determining the flux analytically as a function of time. The experimental and analytical solution for a multi-component gas/oil displacement case study is presented. The determination of time dependent volumetric flux from the analytical solution of the constant flux problem is demonstrated. Experimental results are analyzed and compared with the analytical solution. This indicates that analytical solutions match with the experimental results if reliable relative permeability data are used.
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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) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| 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".