Semianalytical Solution for Modeling the Performance of Complex Multifractured Horizontal Wells in Unconventional Reservoirs
Bibliographic record
Abstract
Summary Analytical models have evolved in their capacity to represent the transient response of multifractured horizontal wells producing from unconventional reservoirs. However, as is common with analytical solutions, they are based on simplified reservoir/well geometries and flow-pattern assumptions that inherently restrict their scope of application. Their use for analyzing flow scenarios that transcend their scope is thus prone to errors. This paper documents a semianalytical model that overcomes the aforementioned limitations, and thereby expands analysis to the realm of reservoir/well architectures that are inaccessible to analytical models. Our solution is based on the Laplace-transform boundary-element-method (BEM) implementation of the Green's function solution of the diffusivity equation. We represent the reservoir as a 2D composite system, with the outer boundaries and the interface between reservoir regions discretized appropriately. With the collocation procedure, the solution is distilled to a system of algebraic equations that is solved for the reservoir's transient response. The hydraulic fractures need not be regular (equidistant and/or isometric), as is required by most analytical models; instead, they can traverse arbitrary spatial orientations and dimensions with respect to the horizontal well. We demonstrate the application of our solution by modeling multifractured-horizontal-well performance with two verification cases and three synthetic examples. The first example showcases a multifractured horizontal well traversed by identical, evenly spaced, fully penetrating, vertical hydraulic fractures within a stimulated reservoir volume (SRV). The second example models an enhanced-permeability region local to each hydraulic fracture as opposed to a single SRV housing all the fractures. The last example typifies complex fracture geometries, where the fractures have different half-lengths, spacings, and orientations. Besides showing that all the verification and example cases are in excellent agreement with numerical solution, we demonstrate the utility of our solution for modeling variable-rate flow commonly observed in practical field-production scenarios, showing its potential for history matching and forecasting the performance of multifractured horizontal wells.
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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 | 0.002 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 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".