Calculation Model of Drainage Radius of Single-Layer/Multi-Layer Commingled Gas Production Wells in a Closed Constant-Volume Gas Reservoir and Its Application
Abstract
:1. Introduction
2. Calculation Model of Drainage Radius of Single-Layer Gas Well
2.1. Modified Flowing Material Balance Method
2.2. Method Validation
2.3. Practical Application
3. Calculation Model of Drainage Radius of Multi-Layer Commingled Gas Production Well and Its Application
3.1. Calculation Model of Drainage Radius of Multi-Layered Gas Well
3.2. Method Validation
3.3. Sensitivity Analysis
3.4. Case Study of Calculation Model of Drainage Radius
4. Discussion
5. Conclusions
- (1)
- The novel calculation model of the drainage radius of a single-layer gas well is proposed and proven to be effective and accurate. Results from the case study indicate that the error of calculated drainage radius is only 0.73%, significantly lower than that of the flowing material balance method (5.78%).
- (2)
- The newly derived calculation model of the drainage radius of multi-layer commingled gas production well is established by coupling a production capacity equation with the principle of mass balance in the closed constant-volume gas reservoir. This model is significantly concise and efficient, requiring only two gas production profile tests to swiftly calculate the drainage radius for each layer within the gas reservoir.
- (3)
- The proposed calculation model of the drainage radius of the multi-layer commingled gas production well is validated using reservoir numerical simulation. The results indicate that a maximum relative error of this model is only 2.33%, demonstrating that it has good simplicity, significant efficiency and high precision and meets the engineering calculation demands in gas fields.
- (4)
- Sensitivity analysis reveals that the calculation model of drainage radius is most sensitive to the physical properties of natural gas, while the influences of formation coefficient, skin factor and change rate of the gas rate are comparatively small.
- (5)
- The case study of a closed constant-volume gas reservoir with multi-layer commingled gas production well demonstrates the proposed calculation model of drainage radius has satisfactory accuracy and reliability. It can achieve a good history-match of the actual measured bottomhole flowing pressure and gas rate splitting coefficients for each layer with the simulated data.
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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Property | Value |
---|---|
K (mD) | 1 |
h (m) | 10 |
(%) | 7 |
Sgi | 0.25 |
Pi (MPa) | 20 |
Ti (°C) | 88.66 |
Pi (MPa) | 20 |
rw (m) | 0.1 |
qsc (m3/d) | 30,000 |
re (m) | 500 |
Property | Actual Value of Gas Reservoir Model | Flowing Material Balance Method | Modified Flowing Material Balance Method | ||
---|---|---|---|---|---|
Value | Error (%) | Value | Error (%) | ||
Gi (108 m3) | 0.7581 | 0.5774 | 23.84 | 0.7403 | 2.35 |
re (m) | 500 | 436.4 | 12.72 | 494.1 | 1.18 |
Property | Material Balance Method | Flowing Material Balance Method | Modified Flowing Material Balance Method | ||
---|---|---|---|---|---|
Value | Error (%) | Value | Error (%) | ||
Gi (108 m3) | 0.9180 | 0.8150 | 11.22 | 0.9047 | 1.45 |
re (m) | 617.9 | 582.2 | 5.78 | 613.4 | 0.73 |
Reservoir Property | Layer 1 | Layer 2 | Layer 3 |
---|---|---|---|
Kj (mD) | 1 | 1.5 | 2 |
hj (m) | 6 | 8 | 10 |
(%) | 7 | 7 | 7 |
Sgij | 0.8 | 0.8 | 0.8 |
Tij (°C) | 88.66 | 90.68 | 92.91 |
rw (m) | 0.2 | ||
qsc (m3/d) | 100,000 | ||
rej (m) | 300 | 500 | 700 |
Production Time | Production Data | Layer 1 | Layer 2 | Layer 3 |
---|---|---|---|---|
300 d | qscj (m3/d) | 13,216.9 | 20,740.4 | 66,042.7 |
Pwf (MPa) | 10.9988 | |||
600 d | qscj (m3/d) | 11,181.7 | 21,973.9 | 66,844.4 |
Pwf (MPa) | 7.1236 | |||
rej-calculated (m) | 295.7 | 492.3 | 716.3 | |
Relative Error (%) | 1.43 | 1.54 | 2.33 |
Time | Property | Layer h8 | Layer s1 | Layer s2 |
---|---|---|---|---|
Kj (mD) | 0.2 | 0.17 | 0.276 | |
hj (m) | 10.4 | 4.6 | 8.6 | |
(%) | 7.6 | 6.5 | 4.7 | |
Sgij | 0.69 | 0.71 | 0.75 | |
Tij (°C) | 90.5 | 91.7 | 93.1 | |
Sj | −1.5 | −1 | −4 | |
rw (m) | 0.1 | |||
3 December 2015 | Pwfj (MPa) | 16.5336 | 16.6436 | 16.9107 |
qscj (m3/d) | 4977 | 951 | 8094 | |
25 September 2019 | Pwfj (MPa) | 8.4850 | 8.5426 | 8.7133 |
qscj (m3/d) | 6400 | 133 | 5802 |
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Xin, C.; Zhou, W.; Zhang, L.; Qiao, X.; Wang, Y.; Xiao, Y. Calculation Model of Drainage Radius of Single-Layer/Multi-Layer Commingled Gas Production Wells in a Closed Constant-Volume Gas Reservoir and Its Application. Appl. Sci. 2024, 14, 1873. https://doi.org/10.3390/app14051873
Xin C, Zhou W, Zhang L, Qiao X, Wang Y, Xiao Y. Calculation Model of Drainage Radius of Single-Layer/Multi-Layer Commingled Gas Production Wells in a Closed Constant-Volume Gas Reservoir and Its Application. Applied Sciences. 2024; 14(5):1873. https://doi.org/10.3390/app14051873
Chicago/Turabian StyleXin, Cuiping, Wei Zhou, Lei Zhang, Xiangyang Qiao, Yongke Wang, and Yue Xiao. 2024. "Calculation Model of Drainage Radius of Single-Layer/Multi-Layer Commingled Gas Production Wells in a Closed Constant-Volume Gas Reservoir and Its Application" Applied Sciences 14, no. 5: 1873. https://doi.org/10.3390/app14051873
APA StyleXin, C., Zhou, W., Zhang, L., Qiao, X., Wang, Y., & Xiao, Y. (2024). Calculation Model of Drainage Radius of Single-Layer/Multi-Layer Commingled Gas Production Wells in a Closed Constant-Volume Gas Reservoir and Its Application. Applied Sciences, 14(5), 1873. https://doi.org/10.3390/app14051873