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Discussion of Permeability Anisotropy Effect in Transformation

Authors
James Sheng (Consultant)
DOI
https://doi.org/10.2118/139430-PA
Document ID
SPE-139430-PA
Publisher
Society of Petroleum Engineers
Source
Journal of Canadian Petroleum Technology
Volume
49
Issue
07
Publication Date
July 2010
Document Type
Journal Paper
Pages
42 - 46
Language
English
ISSN
0021-9487
Copyright
2010. Society of Petroleum Engineers
Disciplines
5.6.4 Drillstem/Well Testing, 5.5 Reservoir Simulation
Keywords
well testing, anisotropy, equivalent permeability, coordinate transformation, equivalent isotropic model
Downloads
2 in the last 30 days
471 since 2007
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SPE Non-Member Price: USD 35.00

Summary

To solve an anisotropic flow problem, the problem is transformed into an equivalent isotropic problem. It is expected that an anisotropic solution can be readily obtained from the equivalent isotropic solution. However, sometimes that is not the case. Using the drawdown equation of a fully penetrated vertical well test and the drawdown and buildup equations for a probe test, this paper discusses when it is both possible and impossible to directly obtain an anisotropic solution from an isotropic solution. Because of the fact that transformation causes the changes in flow geometry and the shape of the wellbore or probe, the equivalent isotropic solution must be modified to obtain the anisotropic solution. Finally, a case of how horizontal well productivity was incorrectly derived in a published paper --caused by the misuse of the concept of anisotropy--is presented.

File Size  170 KBNumber of Pages   5

References

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Brigham, W.E. 1990. Discussionof Productivity of a Horizontal Well. SPE Res Eng  5(2): 254-255. SPE-20394. doi: 10.2118/18298-PA.

Peaceman, D.W. 1990. FurtherDiscussion of Productivity of a Horizontal Well. SPE Res Eng 5 (3): 437-438. SPE-20799. doi: 10.2118/18298-PA.

Moran, J.H. and Finklea, E.E. 1962. Theoretical Analysis of PressurePhenomena Associated with the Wireline Formation Tester. J PetTechnol  14 (8): 899-908; Trans., AIME, 225.SPE-177-PA. doi: 10.2118/177-PA.

Waid, M.C., Proett, M.A., Chen, C.C., and Ford, W.T. 1991. Improved Models for Interpreting thePressure Response of Formation Testers. Paper SPE 22754 presented at theSPE Annual Technical Conference and Exhibition, Dallas, 6-9 October. doi:10.2118/22754-MS.

Steward, G. and Wittmann, M. 1979. Interpretation of the PressureResponse of the Repeat Formation Tester. Paper SPE 8362 presented at theSPE Annual Technical Conference and Exhibition, Las Vegas, Nevada, USA, 23-26September. doi: 10.2118/8362-MS.

Kasap, E., Huang, K., Shwe, T., and Georgi, D. 1999. Formation-Rate-Analysis Technique:Combined Drawdown and Buildup Analysis for Wireline Formation Test Data.SPE Res Eval & Eng 2 (3): 271-280. SPE-56841-PA. doi:10.2118/56841-PA.

Sheng, J.J., Georgi, D.T., and Burge, J. 2006. Concept of Geometric Factor and ItsPractical Application to Estimate Horizontal and Vertical Permeabilities.SPE Res Eval & Eng  9 (6): 698-707. SPE-90226-PA. doi:10.2118/90226-PA.

Sheng, J.J. and Hughes B. 2006. Analytical Solution of Single-ProbeTests in a Horizontal Well and Its Application to Estimate Horizontal andVertical Permeabilities. Paper SPE 102659 presented at the SPE AnnualTechnical Conference and Exhibition, San Antonio, Texas, USA, 24-27 September.doi: 10.2118/102659-MS.

Joshi, S.D. 1988. Augmentationof Well Productivity with Slant and Horizontal Wells. J Pet Technol 40 (6): 729-739; Trans., AIME, 285. SPE-15375-PA.doi: 10.2118/15375-PA.

Giger, F.M. 1987. Low-Permeability ReservoirsDevelopment Using Horizontal Wells. Paper SPE 16406 presented at the SPESymposium on Low Permeability Reservoirs, Denver, 18-19 May. doi:10.2118/16406-MS.

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Whittle, T.M., Lee, J., and Gringarten, A.C. 2003. Will Wireline Formation Tests ReplaceWell Tests? Paper SPE 84086 presented at the SPE Annual TechnicalConference and Exhibition, Denver, 5-8 October. doi: 10.2118/84086-MS.

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