Analysis of Sandface-Temperature-Transient Data for Slightly Compressible, Single-Phase Reservoirs
- Mustafa Onur (University of Tulsa) | Murat Cinar (Istanbul Technical University)
- Document ID
- Society of Petroleum Engineers
- SPE Journal
- Publication Date
- August 2017
- Document Type
- Journal Paper
- 1,134 - 1,155
- 2017.Society of Petroleum Engineers
- Transient temperature data, Joule-Thomson, adiabatic expansion, convection, conduction, Infinite-acting reservoirs, New analytical solutions and analysis procedures, Slightly compressible, single-phase fluid flow
- 8 in the last 30 days
- 429 since 2007
- Show more detail
- View rights & permissions
|SPE Member Price:||USD 12.00|
|SPE Non-Member Price:||USD 35.00|
This paper presents new semilog-straight-line and temperature-derivative methods for interpreting and analyzing sandface-temperature transient data from constant-rate drawdown and buildup tests conducted in infinite-acting reservoirs containing slightly compressible fluid of constant compressibility and viscosity. The procedures are dependent on the analytical solutions accounting for Joule-Thomson (J-T) heating/cooling, adiabatic-fluid expansion, and conduction and convection effects. The development of the analytical solutions is dependent on the fact that the effects of temperature changes on pressure-transient data can be neglected so that the pressure-diffusivity and thermal-energy-balance equations can be decoupled. The analytical solutions are verified by and are found in excellent agreement with the solutions of a commercial nonisothermal reservoir simulator. It is shown that drawdown and buildup sandface-temperature data may exhibit three infinite-acting radial-flow (IARF) periods (represented by semilog equations): one at early times reflecting the adiabatic expansion/compression effects, another at intermediate times reflecting the J-T expansion in the skin zone if skin exists, and the third at late times reflecting J-T expansion effects in the nonskin zone. Performing semilog analyses by use of these IARF regimes gives estimates of permeability of skin and nonskin zones as well as the radius of the skin zone, assuming that the J-T coefficient of the fluid and the viscosity are known. Parameters such as skin-zone permeability and radius are not readily accessible from conventional pressure-transient analysis (PTA) from which only the skin factor and nonskin-zone permeability can be obtained. The applicability of the proposed analysis procedure is demonstrated by considering synthetic and field-test data. The results indicate that the analysis procedure provides reliable estimates of skin-zone and nonskin-zone permeability and skin-zone radius from drawdown or buildup temperature data jointly with pressure data.
|File Size||2 MB||Number of Pages||22|
Abramowitz, M. and Stegun, A. 1972. Handbook of Mathematical Functions. New York City: Dover.
App, J. F. 2009. Field Cases: Nonisothermal Behavior Due to Joule-Thomson 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.
App, J. F. and Yoshioka, K. 2013. Impact of Reservoir Permeability on Flowing Sandface Temperatures: Dimensionless Analysis. SPE J. 18 (4): 685–694. SPE-146951-PA. https://doi.org/10.2118/146951-PA.
Bourdet, D., Ayoub, J. A., and Pirard, Y. M. 1989. Use of Pressure Derivative in Well Test Interpretation. SPE Form Eval 4 (2): 293–302. SPE-12777-PA. https://doi.org/10.2118/12777-PA.
Chekalyuk, E. B. 1965. Thermodynamics of Oil Formation. Moscow: Nedra.
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). 2015. CMG-STARS Version 2015.10.5715.22942, Advanced Process and Thermal Reservoir Simulator. Calgary: CMG.
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. 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.
Earlougher, R. C. Jr. 1977. Advances in Well Test Analysis, Vol. 5. Richardson, Texas: Monograph Series, Society of Petroleum Engineers.
Ehlig-Economides, C. A. and Joseph, J. 1987. A New Test for Determination of Individual Layer Properties in a Multilayered Reservoir. SPE Form Eval 2 (3): 261–283. SPE-14167-PA https://doi.org/10.2118/14167-PA.
Garg, S. K. and Pritchett, J. W. 1977. On Pressure-Work, Viscous Dissipation and the Energy Balance Relation for Geothermal Reservoirs. Adv. Water Resour. 1 (1): 41–47. https://doi.org/10.1016/0309-1708(77)90007-0.
Garg, S. K. and Pritchett, J. W. 1984. Pressure Transient Analysis for Hot Water Geothermal Wells. In Water Resources Monograph: Groundwater Hydraulics, Vol. 9. ed. J. Rosenshein and G. D. Bennett, 242–255. Washington, DC: American Geophysical Union. https://doi.org/10.1029/WM009p0242.
Hawkins, M. F. Jr. 1956. A Note on the Skin Effect. J Pet Technol 8 (12): 65–66. SPE-732-G. https://doi.org/10.2118/732-G.
Hurst, W. 1953. Establishment of the Skin Effect and Its Impediment to Fluid Flow into a Wellbore. Petrol. Eng. 25 (11): B6–B16.
Kappa. 2015. Ecrin Version 4.30.09, Integrated Software Platform for Dynamic Flow Analysis. Sophia Antipolis, France: Kappa.
Kuchuk, F. J., Onur, M., and Hollaender F. 2010. Pressure Transient Formation and Well Testing: Convolution, Deconvolution and Nonlinear Estimation. New York City: Elsevier.
Lee, B. I. K. 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.
Onur, M. and Palabiyik, Y. 2015. Nonlinear-Parameter Estimation Based on History Matching of Temperature Measurements for Single-Phase Liquid-Water Geothermal Reservoirs. Oral presentation of paper WGC-22009 given at the World Geothermal Congress, Melbourne, Australia, 19–25 April.
Onur, M. and Cinar, M. 2016. Temperature Transient Analysis of Slightly Compressible, Single Phase Reservoirs. Presented at SPE Europec featured at 78th EAGE Conference and Exhibition, Vienna, Austria, 30 May–2 June. SPE-180074-MS. https://doi.org/10.2118/180074-MS.
Ozisik, M. N. 1993. Heat Conduction, second edition. New York City: John Wiley & Sons.
Palabiyik, Y., Onur, M., Tureyen, O. 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.
Palabiyik, Y., Tureyen, O. I., and Onur, M. 2013. A Study on Pressure and Temperature Behaviors of Geothermal Wells in Single-Phase Liquid Reservoirs. Oral presentation given at the 38th Workshop on Geothermal Reservoir Engineering, Stanford, California, 11–13 February.
Palabiyik, Y., Tureyen, O. I., and Onur, M. 2015. Pressure and Temperature Behaviors of Single-Phase Liquid Water Geothermal Reservoirs under Various Production/Injection Schemes. Oral presentation of paper WGC-22008 given at World Geothermal Congress, Melbourne, Australia, 19–25 April.
Prats, M. 1982. Thermal Recovery, Vol. 7. Richardson, Texas: Monograph Series, Society of Petroleum Engineers.
Pruess, K., Oldenburg, C., and Moridis, G. 1999. Tough2 User’s Guide, Version 2.0. Report 476, LBNL-43134, Lawrence Berkeley National Laboratory, Berkeley, California.
Ramazanov, A. S. and Nagimov, V. M. 2007. Analytical Model for the Calculation of Temperature Distribution in the Oil Reservoir During Unsteady Fluid Flow. Oil Gas Business 1: 532.546–3:536.42.
Ramazanov, A. S., Valiullin, R. A., Shako, V. et al. 2010. Thermal Modeling for Characterization of Near Wellbore Zone and Zonal Allocation. Presented at the SPE Russian Oil & Gas Technical Conference and Exhibition, Moscow, 26–28 October. SPE-136256-MS. https://doi.org/10.2118/136256-MS.
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.
Somerton, W. H. 1992. Thermal Properties and Temperature-Related Behavior of Rock/Fluid Systems. New York City: Elsevier.
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., Zhu, D., Hill, A. D. et al. 2010. Determining Multilayer Formation Properties from Transient Temperature and Pressure Measurements in Comingled 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.
Theis, C. V. 1935. The Relation Between the Lowering of the Piezometric Surface and the Rate and Duration of Discharge of Well Using Ground Water Storage. Eos. Trans. AGU 16 (2): 519–524. https://doi.org/10.1029/TR016i002p00519.
Van Everdingen, A. F. 1953. The Skin Effect and Its influence on the Productive Capacity of a Well. J Pet Technol 5 (6): 171–176. SPE-203-G. https://doi.org/10.2118/203-G.