A Multi-Layer Commingled Composite Reservoir Model for Thermal Well Test Analysis
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International Journal of Engineering Trends and Technology (IJETT) |  |
| © 2014 by IJETT Journal | ||
| Volume-18 Number-6 |
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| Year of Publication : 2014 | ||
| Authors : Ashkan Jahanbani G , Tom A. Jelmert |
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| DOI : 10.14445/22315381/IJETT-V18P259 |
Citation
Ashkan Jahanbani G , Tom A. Jelmert "A Multi-Layer Commingled Composite Reservoir Model for Thermal Well Test Analysis", International Journal of Engineering Trends and Technology (IJETT), V18(6),283-292 Dec 2014. ISSN:2231-5381. www.ijettjournal.org. published by seventh sense research group
Abstract
Many enhanced oil recovery projects like steam injection into an oil reservoir are analyzed using composite reservoir models. Most of the models used assume two-region composite reservoirs with highly different properties separated by a vertical front. Applicability of thermal well test analysis method was evaluated previously using simulation studies of both vertical and horizontal steam injection wells with the conclusion that simplifying assumptions of the conventional two-region models may not explain some pressure behavior and may cause significant errors in the estimates. The main objective of this paper is therefore to develop a new analytical model for well test analysis to improve previous models. The model is a three-region composite model with an intermediate region characterized by power-law decline of properties. Fronts are tilted due to the gravity override and are modeled using the multi-layer reservoir concept assigning different front radii to each layer. A commingled model is assumed in which there is no cross-flow between the layers and all the communication happens through the wellbore. Steam condensation is included in the form of heat loss to the formation. Pressure type curves are generated and validated. Effects of the important parameters included in the model are investigated. The model developed in this work will be used in type curve matching for improved well test analysis.
References
[1] W. Hurst, “Interference between oil fields,” Trans., AIME, vol. 219, pp. 175-192, 1960.
[2] R. D. Carter, “Pressure Behavior of a Limited Circular Composite Reservoir,” SPE J. vol. 6(4) pp. 328-34, 1966. http://dx.doi.org/10.2118/1621-PA
[3] A. Satman, M. Eggenschwiler, R. W-K. Tang, and H. J. Ramey Jr., “An Analytical Study of Transient Flow in Systems with Radial Discontinuities,” in the 55th Annual Meeting of SPE of AIME, Dallas, Texas, 21-24 September, 1980, paper SPE 9399. http://dx.doi.org/10.2118/9399-MS
[4] H. Kazemi, “Locating a burning front by pressure transient measurements,” Journal of Petroleum Technology, vol. 18(2), pp. 227-232, 1966. http://dx.doi.org/10.2118/1271-PA
[5] M. O. Onyekonwu, H. J. Ramey Jr., W. E. Brigham, and R. M. Jenkins, “Interpretation of Simulated Falloff Tests,” in the California Regional Meeting of SPE of AIME, Long Beach, California, 11-13 April, 1984, paper SPE 12746. http://dx.doi.org/10.2118/12746-MS
[6] J. Barua and R. N. Horne, “Computerized Analysis of Thermal Recovery Well Test Data,” SPE Formation Evaluation Journal, vol. 2(4), pp. 560-66, 1987. http://dx.doi.org/10.2118/12745-PA
[7] A.K. Ambastha and H. J. Ramey Jr., “Pressure Transient Analysis for a Three- Region Composite Reservoir,” in the Rocky Mountain Regional Meeting of SPE of AIME, Casper, Wyoming, 1992, paper SPE 24378 http://dx.doi.org/10.2118/24378-MS
[8] T. Nanba and R. N. Horne, “Estimation of Water and Oil Relative Permeabilities from Pressure Transient Analysis of Water Injection Well Data,” in the Annual Technical Conference and Exhibition of SPE of AIME, San Antonio, Texas, 8-11 October, 1989, paper SPE 19829. http://dx.doi.org/10.2118/19829-MS
[9] M. Abbaszadeh and M. Kamal, “Pressure Transient Testing of Water Injection Wells,” SPE Res. Eng., vol. 4(1), pp. 115-124, 1989. http://dx.doi.org/10.2118/16744-PA
[10] R. B. Bratvold and R. N. Horne, “Analysis of Pressure Falloff Tests following Cold Water Injection,” SPE Formation Evaluation Journal, vol. 5(3) pp. 293-302, 1990. http://dx.doi.org/10.2118/18111-PA
[11] L.G. Acosta and A.K. Ambastha, “Thermal Well Test Analysis Using an Analytical Multi-Region Composite Reservoir Model,” in the Annual Technical Conference and Exhibition of SPE of AIME, New Orleans, Louisiana, September 25-28, 1994, paper SPE 28422 http://dx.doi.org/10.2118/28422-MS
[12] C. Chakrabarty, “Pressure Transient Analysis of Non- Newtonian Power Law Fluid Flow in Fractal Reservoirs,” PhD Thesis, University of Alberta, Edmonton, Alberta, April 1993.
[13] D. Poon, “Transient Pressure Analysis of Fractal Reservoirs,” in the Annual Technical Meeting of the Petroleum Society of Canada, Calgary, Alberta, June 7-9, 1995, paper PETSOC 95-34. http://dx.doi.org/10.2118/95-34
[14] M. B. Issaka and A. K. Ambastha, “An Improved Three-region Composite Reservoir Model for Thermal Recovery Well Test Analysis,” in the Annual Meeting of CIM, Calgary, Alberta, June 8-11, 1997, paper CIM 97-55. http://dx.doi.org/10.2118/97-55
[15] H. C. Lefkovits, P. Hazebroek, E. E. Allen, and C. S. Matthews, “A study of the behavior of bounded reservoirs composed of stratified layers," SPE J., vol. 1(1), pp. 43–58, 1961. http://dx.doi.org/10.2118/1329-G
[16] A. Satman, “An Analytical Study of Transient Flow in Stratified Systems with Fluid Banks,” in SPE Annual Technical Conference and Exhibition, San Antonio, Texas, 4-7 October, 1981, paper SPE 10264. http://dx.doi.org/10.2118/10264-MS
[17] A. Satman, and M. M. Oskay, "Effect of a Tilted Front on Well Test Analysis," paper SPE 14701 available from SPE, 1985.
[18] D.G. Hatzignatiou, D.O. Ogbe, K. Dehghani, and M.J. Economides, “Interference Pressure Behavior in Multilayered Composite Reservoirs,” in SPE Annual Technical Conference and Exhibition, Dallas, Texas, 27-30 September, 1987, paper SPE-16766. http://dx.doi.org/10.2118/16766-MS
[19] K. Anbarci, A. S. Grader, and T. Ertekin, “Determination of Front Locations in a Multilayer Composite Reservoir,” in SPE Annual Technical Conference and Exhibition, San Antonio, Texas, 8-11 October, 1989, paper SPE-19799. http://dx.doi.org/10.2118/19799-MS
[20] E. Gomes and A. K. Ambastha, “An Analytical Pressure-Transient Model for Multilayered, Composite Reservoirs with Pseudosteady-State Formation Crossflow,” in SPE Western Regional Meeting, Anchorage, Alaska, 26-28 May, 1993, paper SPE-26049. http://dx.doi.org/10.2118/26049-MS
[21] J. Rabb, and C. Palmgren, “Pressure Transient Analysis in SAGD,” in Canadian International Petroleum Conference, Calgary, Canada, 10-12 June, 2003, paper CIPC 2003-120. http://dx.doi.org/10.2118/2003-120
[22] A. Shamila, E. Shirif, M. Dong, and A. Henni, “Chamber Volume/Size Estimation for SAGD Process from Horizontal Well Testing,” in 56th Annual Technical Meeting of Canadian International Petroleum Conference, Calgary, Alberta, Canada, 7-9 June, 2005, paper CIPC 2005-075. http://dx.doi.org/10.2118/2005-075
[23] A. Jahanbani G., T. A. Jelmert, J. Kleppe, M. Ashrafi, Y. Souraki, and O. Torsaeter, “Investigation of the applicability of thermal well test analysis in steam injection wells for Athabasca heavy oil,” in EAGE Annual Conference & Exhibition incorporating SPE Europec, Copenhagen, Denmark. 4-7 June, 2012, paper SPE 154182. http://dx.doi.org/10.2118/154182-MS
[24] A. Jahanbani G., T. A. Jelmert, and J. Kleppe, “Investigation of thermal well test analysis for horizontal wells in SAGD process,” in SPE Annual Technical Conference and Exhibition (ATCE), San Antonio, USA, 8-10 October, 2012, paper SPE 159680. http://dx.doi.org/10.2118/159680-MS
[25] A. Jahanbani G. and J. Kleppe, “Analysis of Heat Loss Effects on Thermal Pressure Falloff Tests,” in the 14th European Conference on the Mathematics of Oil Recovery, Catania, Sicily, Italy, 8-11 September, 2014, paper EAGE- Mo P23. DOI: 10.3997/2214-4609.20141806
[26] Y. C. Yortsos, “Distribution of fluid phases within the steam zone in steam-injection processes,” SPE Journal, vol. 24(4), pp. 458-466, 1984. http://dx.doi.org/10.2118/11273-PA
[27] J. F. Stanislav, C. V. Easwaran, and S. L. Kokal, “Interpretation of thermal well falloff testing,” SPE Formation Evaluation Journal, vol. 4(2), pp. 181-186, 1989. http://dx.doi.org/10.2118/16747-PA
[28] I. Kiome, “Pressure Transient Behaviour for a Well in a Multi-layered Composite Reservoir with an Inclined,” M.Sc. Thesis, University of Alberta, Edmonton, Canada, 1991.
[29] H. Stehfest, “Algorithm 368: numerical inversion of Laplace transform,” Commun. Assoc. Comput. Math., vol. 13(1), pp. 47–49, 1970.
[30] A. F. van Everdingen and W. Hurst, “The application of the Laplace transformation to flow problems in reservoirs,” JPT, vol. 1(12), pp. 305–324, 1949. http://dx.doi.org/10.2118/949305-G
[31] A. K. Ambastha, “Pressure Transient Analysis for Composite Systems,” PhD Thesis, Stanford University, Stanford, USA, 1988.
[32] H. S. Carslaw and J. C. Jaeger, Conduction of Heat in Solids. London, UK: Oxford University Press, 1959
Keywords
commingled system, composite reservoir, gravity override, heat loss, multi-layer, thermal well test