A Coupled Transient Wellbore/Reservoir-Temperature Analytical Model
- Mauricio S. C. Galvao (Petrobras) | Marcio S. Carvalho (Pontifical Catholic University of Rio de Janeiro) | Abelardo B. Barreto Jr. (Pontifical Catholic University of Rio de Janeiro)
- Document ID
- Society of Petroleum Engineers
- SPE Journal
- Publication Date
- October 2019
- Document Type
- Journal Paper
- 2,335 - 2,361
- 2019.Society of Petroleum Engineers
- analytical model, Joule-Thomson/adiabatic expansion effects, coupled wellbore/reservoir modeling, transient temperature data
- 28 in the last 30 days
- 253 since 2007
- Show more detail
- View rights & permissions
|SPE Member Price:||USD 12.00|
|SPE Non-Member Price:||USD 35.00|
This work presents a new coupled transient wellbore/reservoir thermal analytical model, consisting of a combined reservoir/casing/tubing system. The analytical model considers flow of a slightly compressible, single-phase fluid in a homogeneous infinite-acting reservoir system and provides temperature-transient data for drawdown and buildup tests at any gauge location along the wellbore. The model accounts for Joule-Thomson (J-T), adiabatic-fluid-expansion, conduction, and convection effects. The wellbore-fluid mass density is modeled as a function of temperature, and the analytical solution makes use of the Laplace transformation to solve the transient heat-flow differential equation, accounting for a transient wellbore-temperature gradient ∂T = ∂z. The solutions presented assume moderate- to high-permeability reservoirs and do not consider skin effects in the formation. Results of the analytical model are compared with those of a commercial thermal simulator and with those of available models in the literature. Our model provides more accurate transient-temperature-flow profiles along the wellbore in comparison with previous analytical models in the literature. Furthermore, a generalization of a well-known parameter-estimation method from transient-temperature data is provided.
|File Size||1 MB||Number of Pages||27|
Abramowitz, M. and Stegun, A. 1972. Handbook of Mathematical Functions. New York City: Dover.
Alves, I. N., Alhanati, F. J. S., and Shoham, O. 1992. A Unified Model for Predicting Flowing Temperature Distribution in Wellbores and Pipelines. SPE Prod Eng 7 (4): 363–367. SPE-20632-PA. https://doi.org/10.2118/20632-PA.
App, J. F. 2009. Field Cases: Nonisothermal Behavior Due to J-T and Transient Fluid Expansion/Compression Effects. Presented at the SPE Annual Technical Conference and Exhibition, New Orleans, 4–7 October. SPE-124338-MS. https://doi.org/10.2118/124338-MS.
App, J. F. 2010. Nonisothermal and Productivity Behavior of High-Pressure Reservoirs. SPE J. 15 (1): 50–63. SPE-114705-PA. https://doi.org/10.2118/114705-PA.
Chevarunotai, N., Hasan, A. R., and Kabir, C. S. 2015. Transient Flowing-Fluid Temperature Modeling in Oil Reservoirs for Flow Associated With Large Drawdowns. Presented at the SPE Annual Technical Conference and Exhibition, Houston, 28–30 September. SPE-175008-MS. https://doi.org/10.2118/175008-MS.
Computer Modelling Group (CMG). 2017. CMG-STARS Version 2017.10.6504.34460, Advanced Process and Thermal Simulator. Calgary: CMG.
Curtis, M. R. and Witterholt, E. J. 1973. Use of the Temperature Log for Determining Flow Rates in Producing Wells. Presented at the Fall Meeting of the Society of Petroleum Engineers of AIME, Las Vegas, Nevada, 30 September–3 October. SPE-4637-MS. https://doi.org/10.2118/4637-MS.
Duru, O. O. and Horne, R. N. 2010a. Modeling Reservoir Temperature Transients and Reservoir-Parameter Estimation Constrained to the Model. SPE Res Eval & Eng 13 (6): 873–883. SPE-115791-PA. https://doi.org/10.2118/115791-PA.
Duru, O. O. and Horne, R. N. 2010b. Joint Inversion of Temperature and Pressure Measurements for Estimation of Permeability and Porosity Fields. Presented at the SPE Annual Technical Conference and Exhibition, Florence, Italy, 19–22 September. SPE-134290-MS. https://doi.org/10.2118/134290-MS.
Duru, O. O. and Horne, R. N. 2011a. Simultaneous Interpretation of Pressure, Temperature, and Flow-Rate Data Using Bayesian Inversion Methods. SPE Res Eval & Eng 14 (2): 225–238. SPE-124827-PA. https://doi.org/10.2118/124827-PA.
Duru, O. O. and Horne, R. N. 2011b. Combined Temperature and Pressure Data Interpretation: Applications to Characterization of Near-Wellbore Reservoir Structures. Presented at the SPE Annual Technical Conference and Exhibition, Denver, 30 October–2 November. SPE-146614-MS. https://doi.org/10.2118/146614-MS.
Galvao, M. S. C. 2018. Analytical Models for Thermal Wellbore Effects on Pressure Transient Testing. Master’s thesis, PUC-Rio, Rio de Janeiro.
Hasan, A. R. and Kabir, C. S. 1991. Heat Transfer During Two-Phase Flow in Wellbores; Part I—Formation Temperature. Presented at the SPE Annual Technical Conference and Exhibition, Dallas, 6–9 October. SPE-22866-MS. https://doi.org/10.2118/22866-MS.
Hasan, A. R. and Kabir, C. S. 2002. Fluid Flow and Heat Transfer in Wellbores. Richardson, Texas: Society of Petroleum Engineers.
Hasan, A. R., Kabir, C. S., and Lin, D. 2005. Analytic Wellbore Temperature Model for Transient Gas-Well Testing. SPE Res Eval & Eng 8 (3): 240–247. SPE-84288-PA. https://doi.org/10.2118/84288-PA.
Hasan, A. R., Kabir, C. S., and Wang, X. 1997. Development and Application of a Wellbore/Reservoir Simulator for Testing Oil Wells. SPE Form Eval 12 (3): 182–188. SPE-29892-PA. https://doi.org/10.2118/29892-PA.
Horne, R. N. and Shinohara, K. 1979. Wellbore Heat Loss in Production and Injection Wells. J Pet Technol 31 (1): 116–118. SPE-7153-PA. https://doi.org/10.2118/7153-PA.
Horner, D. R. 1951. Pressure Build-Up in Wells. Presented at the 3rd World Petroleum Congress, The Hague, 28 May–6 June. WPC-4135.
Izgec, B., Kabir, C. S., Zhu, D. et al. 2007. Transient Fluid and Heat Flow Modeling in Coupled Wellbore/Reservoir Systems. SPE Res Eval & Eng 10 (3): 294–301. SPE-102070-PA. https://doi.org/10.2118/102070-PA.
Lee, B. I. and Kesler, M. G. 1975. A Generalized Thermodynamic Correlation Based on Three-Parameter Corresponding States. AIChE J. 21 (3): 510–527. https://doi.org/10.1002/aic.690210313.
Mao, Y. and Zeidouni, M. 2017. Accounting for Fluid-Property Variations in Temperature-Transient Analysis. SPE J. 23 (3): 868–884. SPE-187465-PA. https://doi.org/10.2118/187465-PA.
Muradov, K. M. and Davies, D. R. 2012. Temperature Transient Analysis in a Horizontal, Multi-Zone, Intelligent Well. Presented at the SPE Intelligent Energy International, Utrecht, The Netherlands, 27–29 March. SPE-150138-MS. https://doi.org/10.2118/150138-MS.
Onur, M. 2017. Modeling and Interpretation of the Bottomhole Temperature Transient Data. Presented at the SPE Latin America and Caribbean Petroleum Engineering Conference, Buenos Aires, 17–19 May. SPE-185586-MS. https://doi.org/10.2118/185586-MS.
Onur, M. and Cinar, M. 2016. Temperature Transient Analysis of Slightly Compressible, Single-Phase Reservoirs. Presented at SPE Europec featured at the 78th EAGE Conference and Exhibition, Vienna, Austria, 30 May–2 June. SPE-180074-MS. https://doi.org/10.2118/180074-MS.
Onur, M. and Cinar, M. 2017a. Analysis of Sandface-Temperature-Transient Data for Slightly Compressible, Single-Phase Reservoirs. SPE J. 22 (4): 1134–1155. SPE-180074-PA. https://doi.org/10.2118/180074-PA.
Onur, M. and Cinar, M. 2017b. Modeling and Analysis of Temperature Transient Sandface and Wellbore Temperature Data From Variable Rate Well Test Data. Presented at SPE Europec featured at the 79th EAGE Conference and Exhibition, Paris, 12–15 June. SPE-185802-MS. https://doi.org/10.2118/185802-MS.
Onur, M., Palabiyik, Y., Tureyen, I. et al. 2016a. Transient Temperature Behavior and Analysis of Single-Phase Liquid Water Geothermal Reservoirs During Drawdown and Buildup Tests: Part II. Interpretation and Analysis Methodology With Applications. J Pet Sci Eng 146 (October): 657–669. https://doi.org/10.1016/j.petrol.2016.08.002.
Onur, M., Ulker, G., Kocak, S. et al. 2016b. Interpretation and Analysis of Transient Sandface and Wellbore Temperature Data. Presented at the SPE Annual Technical Conference and Exhibition, Dubai, 26–28 September. SPE-181710-MS. https://doi.org/10.2118/181710-MS.
Onur, M., Ulker, G., Kocak, S. et al. 2017. Interpretation and Analysis of Transient-Sandface- and Wellbore-Temperature Data. SPE J. 22 (4): 1156–1177. SPE-181710-PA. https://doi.org/10.2118/181710-PA.
Palabiyik, Y., Onur, M., Tureyen, I. et al. 2016. Transient Temperature Behavior and Analysis of Single-Phase Liquid Water Geothermal Reservoirs During Drawdown and Buildup Tests: Part I. Theory, New Analytical and Approximate Solutions. J Pet Sci Eng 146 (October): 637–656. https://doi.org/10.1016/j.petrol.2016.08.003.
Panini, F. and Onur, M. 2018. Parameter Estimation From Sandface Drawdown Temperature Transient Data in the Presence of a Skin Zone Near the Wellbore. Presented at SPE Europec featured at the 80th EAGE Conference and Exhibition, Copenhagen, Denmark, 11–14 June. SPE-190773-MS. https://doi.org/10.2118/190773-MS.
Ramey, H. J. Jr. 1962. Wellbore Heat Transmission. J Pet Technol 14 (4): 427–435. SPE-96-PA. https://doi.org/10.2118/96-PA.
Ribeiro, P. M. and Horne, R. N. 2013. Pressure and Temperature Transient Analysis: Hydraulic Fractured Well Application. Presented at the SPE Annual Technical Conference and Exhibition, New Orleans, 30 September–2 October. SPE-166222-MS. https://doi.org/10.2118/166222-MS.
Ribeiro, P. M. and Horne, R. N. 2016. Detecting Fracture Growth Out of Zone by Use of Temperature Analysis. SPE J. 21 (4): 1263–1278. SPE-170746-PA. https://doi.org/10.2118/170746-PA.
Sagar, R., Doty, D. R., and Schmidt, Z. 1991. Predicting Temperature Profiles in a Flowing Well. SPE Prod Eng 6 (4): 441–448. SPE-19702-PA. https://doi.org/10.2118/19702-PA.
Sidorova, M., Shako, V., Pimenov, V. et al. 2015. The Value of Transient Temperature Responses in Testing Operations. Presented at the SPE Middle East Oil & Gas Show and Conference, Manama, Bahrain, 8–11 March. SPE-172758-MS. https://doi.org/10.2118/172758-MS.
Sidorova, M., Theuveny, B., Pimenov, V. et al. 2014. Do Not Let Temperature Transients Hinder Your Build-Up Pressure Interpretation–Proper Gauge Placement in Highly Productive Reservoirs in Well Testing Operations. Presented at the SPE Annual Caspian Technical Conference and Exhibition, Astana, Kazakhstan, 12–14 November. SPE-172278-MS. https://doi.org/10.2118/172278-MS.
Sui, W., Zhu, D., Hill, A. D. et al. 2008a. Model for Transient Temperature and Pressure Behavior in Commingled Vertical Wells. Presented at the SPE Russian Oil and Gas Technical Conference and Exhibition, Moscow, 28–30 October. SPE-115200-MS. https://doi.org/10.2118/115200-MS.
Sui, W., Zhu, D., Hill, A. D. et al. 2008b. Determining Multilayer Formation Properties From Transient Temperature and Pressure Measurements. Presented at the SPE Annual Technical Conference and Exhibition, Denver, 21–24 September. SPE-116270-MS. https://doi.org/10.2118/116270-MS.
Sui, W., Ehlig-Economides, C. A., Zhu, D. et al. 2010. Determining Multilayer Formation Properties From Transient Temperature and Pressure Measurements in Commingled Gas Wells. Presented at the International Oil and Gas Conference and Exhibition in China, Beijing, 8–10 June. SPE-131150-MS. https://doi.org/10.2118/131150-MS.
Willhite, G. P. 1967. Over-All Heat Transfer Coefficients in Steam and Hot Water Injection Wells. J Pet Technol 19 (5): 607–615. SPE-1449-PA. https://doi.org/10.2118/1449-PA.