A Novel Infinite-Acting-Radial-Flow Analysis Procedure for Estimating Permeability Anisotropy From an Observation-Probe Pressure Response at a Vertical, Horizontal, or Inclined Wellbore
- Mustafa Onur (Istanbul Technical University) | Peter S. Hegeman (Schlumberger) | Ihsan M. Gök (Schlumberger)
- Document ID
- Society of Petroleum Engineers
- SPE Reservoir Evaluation & Engineering
- Publication Date
- May 2014
- Document Type
- Journal Paper
- 152 - 164
- 2014.Society of Petroleum Engineers
- 5.6.3 Pressure Transient Testing
- observation probe, radial flow, permeability anisotropy, wireline formation tests,, interval pressure transient testing
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- 430 since 2007
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This paper presents a new infinite-acting-radial-flow (IARF) analysis procedure for estimating horizontal and vertical permeability solely from pressure-transient data acquired at an observation probe during an interval pressure-transient test (IPTT) conducted with a single-probe, dual-probe, or dual-packer module. The procedure is based on new infinite-acting-radial-flow equations that apply for all inclination angles of the wellbore in a single-layer, 3D anisotropic, homogeneous porous medium. The equations for 2D anisotropic cases are also presented and are derived from the general equations given for the 3D anisotropic case. It is shown that the radial-flow equation presented reduces to Prats’ (1970) equation assuming infinite-acting radial flow at an observation point along a vertical wellbore in isotropic or 2D anisotropic formations of finite bed thickness. The applicability of the analysis procedure is demonstrated by considering synthetic and field packer/probe IPTT data. The synthetic IPTT examples include horizontal- and slanted-well cases, but the field IPTT is for a vertical well. The results indicate that the procedure provides reliable estimates of horizontal and vertical permeability solely from observation-probe pressure data during radial flow for vertical, horizontal, and inclined wellbores. Most importantly, the analysis does not require that both spherical and radial flow prevail at the observation probe during the test.
|File Size||1 MB||Number of Pages||13|
Abbaszadeh, M. and Hegeman, P.S. 1990. Pressure-Transient Analysis for a Slanted Well in a Reservoir With Vertical Pressure Support. SPE Form Eval 5 (3): 277–284. http://dx.doi.org/10.2118/19045-PA.
Amos, D.E. 1983. A Portable FORTRAN Subroutine for Derivatives of the Psi Function, Algorithm 610. ACM Trans. on Mathematical Software 9 (4): 494–502.
Besson, J. 1990. Performance of Slanted and Horizontal Wells on an Anisotropic Medium. Paper SPE 20965 presented at the EUROPEC 90, The Hague, The Netherlands, 22–24 October. http://dx.doi.org/10.2118/20965-MS.
Carter, R.D., Kemp, L.F. Jr., Pierce, A.C. et al. 1974. Performance Matching With Constraints. SPE J 14 (2): 187–196. http://dx.doi.org/10.2118/4260-PA.
Cody, W., Strecok, A., and Thacher, H. 1973. Chebyshev Approximations for the Psi Function. Mathematics of Computation 27 (121): 123–127.
Earlougher, R.C. Jr. 1977. Advances in Well Test Analysis, Monograph Series No. 5, Dallas, Texas: SPE.
Earlougher, R.C. Jr. 1980. Analysis and Design Methods for Vertical Well Testing. J. Pet Tech 32 (3): 505–514. http://dx.doi.org/10.2118/8038-PA.
Goode, P.A. and Thambynayagam, R.K.M. 1992. Permeability Determination With a Multiple Probe-Formation Tester. SPE Form Eval 7 (4): 297–303. http://dx.doi.org/10.2118/20737-PA.
Kalam, Z., Al Dayyani, T., Grader, A. et al. 2011. Digital Rock Physics Analysis in Complex Carbonates. World Oil On-Line 232 (5): 1–9.
Kuchuk, F.J. 1994. Pressure Behavior of the MDT Packer Module and DST in Crossflow-Multilayer Reservoirs. J. Pet. Sci. Eng. 11 (2): 123–135.
Kuchuk, F.J., Ramakrishnan, T.S., and Dave, Y. 1994. Interpretation of Wireline Formation Tester Packer and Probe Pressures. Paper SPE 28404 presented at the SPE Annual Technical Conference and Exhibition, New Orleans, Louisiana, 25–28 September. http://dx.doi.org/10.2118/28404-MS.
Kuchuk, F.J. 1996. Multiprobe Wireline Formation Tester Pressure Behavior in Crossflow-Layered Reservoirs. In Situ 20 (1): 1–40.
McKinley, R.M., Vela, S., and Carlton, L.A. 1968. A Field Application of Pulse-Testing for Detailed Reservoir Description. J. Pet Tech 20 (3): 313–321. http://dx.doi.org/10.2118/1822-PA.
Onur, M., Hegeman, P.S., and Kuchuk, F.J. 2004. Pressure/Pressure Convolution Analysis of Multiprobe and Packer-Probe Wireline Formation Tester Data. SPE Res Eval & Eng 7 (5): 351–364. http://dx.doi.org/10.2118/77343-PA.
Onur, M., Çinar, M., Ilk, D. et al. 2008. An Investigation of Recent Deconvolution Methods for Well-Test Data Analysis. SPE J. 13 (2): 226–247. http://dx.doi.org/10.2118/102575-PA.
Onur, M., Hegeman, P.S., Gok, I.M. et al. 2011. A Novel Analysis Procedure for Estimating Thickness-Independent Horizontal and Vertical Permeabilities From Pressure Data at an Observation Probe Acquired by Packer-Probe Wireline Formation Testers. SPE Res Eval & Eng 14 (4): 457–472. http://dx.doi.org/10.2118/148403-PA.
Parkes, R., Carnegie, A., Neville, T. et al. 1998. New Techniques in Wireline Formation Testing in Tight Reservoirs. Paper SPE 50128 presented at the SPE Asia Pacific Oil and Gas Conference and Exhibition, Perth, Australia, 12–14 October. http://dx.doi.org/10.2118/50128-MS.
Pimonov, E., Ayan, C., Onur, M. et al. 2010. New Pressure/Rate Deconvolution Algorithm to Analyze Wireline Formation Tester and Well-Test Data. SPE Res Eval & Eng 13 (4): 603–613. http://dx.doi.org/10.2118/123982-PA.
Pop, J.J., Badry, R.A., Morris, C.V. et al. 1993. Vertical Interference Testing With a Wireline Conveyed Straddle Packer Tool. Paper SPE 26841 presented at the SPE Annual Technical Conference and Exhibition, Houston, Texas, 3–6 October. http://dx.doi.org/10.2118/26841-MS.
Prats, M. 1970. A Method for Determining the Net Vertical Permeability Near a Well From In-Situ Measurements. J. Pet Tech 22 (5): 637–643. http://dx.doi.org/10.2118/2511-PA.
Press, W.H., Flannery, B.P., Teukolsky, A.A. et al. 2007. Numerical Recipes: The Art of Scientific Computing, Cambridge University Press.
Saenger, E.H. and Madonna, C. 2011. Digital Rock Physics: Numerical vs. Laboratory Measurements. Paper in Proceedings of SEG San Antonio 2011 Annual Meeting, 8693–8697.
von Schroeter, T., Hollaender, F., and Gringarten, A.C. 2004. Deconvolution of Well Test Data as a Nonlinear Total Least-Squares Problem. SPE J. 9 (4): 375–390. http://dx.doi.org/10.2118/77688-PA.
Zimmerman, T., McInnis, J., Hoppe, J. et al. 1990. Application of Emerging Wireline Formation Technologies. Paper OSEA 90105 presented at the Offshore South East Asia Conference, Singapore, 4–7 December.