A Multi-Layer Multi-Region Well Test Model
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International Journal of Engineering Trends and Technology (IJETT) |  |
| © 2015 by IJETT Journal | ||
| Volume-19 Number-3 |
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| Year of Publication : 2015 | ||
| Authors : Ashkan Jahanbani G. , Tom A. Jelmert |
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| DOI : 10.14445/22315381/IJETT-V19P227 |
Citation
Ashkan Jahanbani G , Tom A. Jelmert "A Multi-Layer Multi-Region Well Test Model", International Journal of Engineering Trends and Technology (IJETT), V19(3), 154-158 Jan 2015. ISSN:2231-5381. www.ijettjournal.org. published by seventh sense research group
Abstract
Pressure data of composite reservoirs are usually analyzed using two-region models separated by a vertical front. This simplification may lead to significant errors in the estimates. In this paper, a multi-region composite model with thin skin at the fronts is improved by adding n layers in the vertical direction to model the effect of gravity. The proposed model is then compared to the recently developed models for thermal well test analysis. The proposed model consists of m regions to model the smooth variation of properties from the inner to the outer region while the composite models used for the comparison assume an intermediate region characterized by power-law decline of properties. Fronts are assumed tilted due to the gravity effects by use of multi-layer reservoir concept with no cross-flow between the layers. The model can be validated against conventional models. Addition of more intermediate regions and skin at front locations are investigated to achieve a better match with the new analytical models. The model developed in this work can be used in type curve matching for improved well test analysis.
References
[1] 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
[2] A. Jahanbani G., and T. A. Jelmert, “A Multi-Layer Commingled Composite Reservoir Model for Thermal Well Test Analysis,” International Journal of Engineering Trends and Technology (IJETT), vol. 18 (6), pp. 283-292, 2014. 10.14445/22315381/IJETT-V18P259
[3] A. Jahanbani G., and T. A. Jelmert, “A New Composite Reservoir Model for Thermal Well Test Analysis,” International Journal of Engineering Trends and Technology (IJETT), vol. 18 (8), pp. 357-366, 2014. 10.14445/22315381/IJETT-V18P273
[4] 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
[5] I. Kiome, “Pressure Transient Behaviour for a Well in a Multi-layered Composite Reservoir with an Inclined Front” M.Sc. Thesis, University of Alberta, Edmonton, Canada, 1991.
[6] H. Stehfest, “Algorithm 368: numerical inversion of Laplace transform,” Commun. Assoc. Comput. Math., vol. 13(1), pp. 47–49, 1970.
[7] 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
[8] 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
Keywords
composite reservoir, gravity, multi-layer, multi-region, smooth property variation, well test