Estimation of Permeability and Permeability Anisotropy From Straddle-Packer Formation-Tester Measurements Based on the Physics of Two-Phase Immiscible Flow and Invasion
- Renzo Angeles (University of Texas at Austin) | Carlos Torres-Verdin (University of Texas at Austin) | Hee-Jae Lee (University of Texas at Austin) | Faruk Omer Alpak (University of Texas at Austin) | James J. Sheng (Baker Atlas)
- Document ID
- Society of Petroleum Engineers
- SPE Journal
- Publication Date
- September 2007
- Document Type
- Journal Paper
- 339 - 354
- 2007. Society of Petroleum Engineers
- 5.6.9 Production Forecasting, 7.2.2 Risk Management Systems, 5.1 Reservoir Characterisation, 5.2 Reservoir Fluid Dynamics, 5.6.4 Drillstem/Well Testing, 5.5.8 History Matching, 4.2 Pipelines, Flowlines and Risers, 4.1.2 Separation and Treating, 5.6.3 Pressure Transient Testing, 5.6.1 Open hole/cased hole log analysis, 4.1.5 Processing Equipment, 5.5 Reservoir Simulation, 5.5.1 Simulator Development, 4.3.4 Scale, 5.3.1 Flow in Porous Media, 5.3.2 Multiphase Flow, 5.5.11 Formation Testing (e.g., Wireline, LWD)
- 0 in the last 30 days
- 701 since 2007
- Show more detail
- View rights & permissions
|SPE Member Price:||USD 5.00|
|SPE Non-Member Price:||USD 35.00|
We describe the successful application of a new method to estimate permeability and permeability anisotropy from transient measurements of pressure acquired with a wireline straddle-packer formation tester. Unlike standard algorithms used for the interpretation of formation-tester measurements, the method developed in this paper incorporates the physics of two-phase immiscible flow as well as the processes of mudcake buildup and invasion.
An efficient 2D (cylindrical coordinates) implicit-pressure explicit-saturation finite-difference algorithm is used to simulate both the process of invasion and the pressure measurements acquired with the straddle-packer formation tester. Initial conditions for the simulation of formation-tester measurements are determined by the spatial distributions of pressure and fluid saturation resulting from mud-filtrate invasion. Inversion is performed with a Levenberg-Marquardt nonlinear minimization algorithm. Sensitivity analyses are conducted to assess nonuniqueness and the impact of explicit assumptions made about fluid viscosity, capillary pressure, relative permeability, mudcake growth, and time of invasion on the estimated values of permeability and permeability anisotropy.
Applications of the inversion method to noisy synthetic measurements include homogeneous, anisotropic, single- and multilayer formations for cases of low- and high-permeability rocks. We also study the effect of unaccounted impermeable bed boundaries on inverted formation properties. For cases where a priori information can be sufficiently constrained, our inversion methodology provides reliable and accurate estimates of permeability and permeability anisotropy. In addition, we show that estimation errors of permeability inversion procedures that neglect the physics of two-phase immiscible fluid flow and mud-filtrate invasion can be as high as 100%.
Modular and multiprobe formation testers have proved advantageous in the determination of permeability at intermediate-scale lengths because of the increased distance between the observation and sink probes (Pop et al. 1993; Badaam et al. 1998; Proett et al. 2000). Moreover, the use of dual-packer or "straddle-packer?? modules over point-probe modules is known to improve the interpretation of pressure transient measurements when testing laminated, shaly, fractured, vuggy, unconsolidated, and low-permeability formations (Ayan et al. 2001). Several papers have been published to describe interpretation techniques and applications of these new formation-testing approaches (Kuchuk 1998; Hurst et al. 2000; Onur et al. 2004).
The new method introduced in this paper interprets formation-tester measurements acquired with wireline straddle-packer tools. It incorporates the physics of two-phase, axisymmetric, immiscible fluid flow to simulate the measurements, and it is combined with a nonlinear minimization algorithm for history-matching purposes. Comparable inversion approaches have been documented in the open technical literature (Proett et al. 2000; Xian et al. 2004; Jackson et al. 2003) but they assumed single-phase fluid flow. Recently, Zeybek et al. (2001) introduced a multiphase flow method to integrate formation-tester pressure and fractional flow measurements with the objective of refining relative permeability values estimated from openhole resistivity logs. The same authors considered the manual inversion of radial invasion profiles, horizontal permeability, and permeability anisotropy but did not assess the uncertainty of their estimations introduced by a priori assumptions about multiphase flow parameters. By contrast, the developments reported in this paper integrate the flow simulator with a dynamically coupled mudcake growth and mud-filtrate invasion algorithm (Wu et al. 2002), which improves the physical consistency and reliability of the quantitative estimation of both permeability and permeability anisotropy.
|File Size||5 MB||Number of Pages||16|
Alpak, F.O. 2005. Algorithms for Numerical Modeling and Inversion ofMultiphase Fluid Flow and Electromagnetic Measurements. PhD dissertation.Austin, Texas: University of Texas at Austin.
Angeles, R. 2005. Inversion of Permeability and Permeability Anisotropy fromStraddle-Packer Formation Tester Measurements using the Physics of Two-PhaseImmiscible Flow and Invasion. MSc thesis. Austin, Texas: University of Texas atAustin.
Ayan, C. et al. 2001. Characterizing Permeability with Formation Testers.Oilfield Review 13: 2-23.
Badaam, H., Al-Matroushi, S., Young, N., Ayan, C., Mihcakan, M., and Kuchuk,F.J. 1998. Estimation of FormationProperties Using Multiprobe Formation Tester in Layered Reservoirs. PaperSPE 49141 prepared for presentation at the SPE Annual Technical Conference andExhibition, New Orleans, 27-30 September. DOI: 10.2118/49141-MS.
Brooks, R.H. and Corey, A.T. 1964. Hydraulic properties of porous media.Colorado State University Hydrology Paper 3. Fort Collins, Colorado: ColoradoState University Press.
Coates, G.R. and Denoo, S. 1981. The Producibility Answer Product. TheTechnical Review 29 (2): 54-63.
Cramér, H. 1945. Mathematical Methods of Statistics. Princeton, NewJersey: Princeton University Press.
Gök, I.M., Onur, M., Hegeman, P.S., and Kuchuk, F.J. 2006. Effect of an Invaded Zone onPressure-Transient Data From Multiprobe and Packer-Probe Wireline FormationTesters. SPEREE 9 (1): 39-49. SPE-84093-PA. DOI:10.2118/84093-PA.
Habashy, T.M. and Abubakar, A. 2004. A General Framework for ConstraintMinimization for the Inversion of Electromagnetic Measurements. Progress inElectromagnetics Research 46: 265-312.
Hawkins, M.F., Jr. 1956. A Note onthe Skin Effect. Trans., AIME, 207, 356-357.
Hurst, S.M., McCoy, T.F., and Hows, M.P. 2000. Using the Cased-Hole Formation TesterTool for Pressure Transient Analysis. Paper SPE 63078 presented at the SPEAnnual Technical Conference and Exhibition, Dallas, 1-4 October. DOI:10.2118/63078-MS.
Jackson, R.R., Banerjee, R., and Thambynayagam, R.K.M. 2003. An Integrated Approach to IntervalPressure Transient Test Analysis Using Analytical and Numerical Methods.Paper SPE 81515 presented at the SPE Middle East Oil Show, Bahrain, 9-12 June.DOI: 10.2118/81515-MS.
Kuchuk, F.J. 1998. IntervalPressure Transient Testing With MDT Packer-Probe Module in HorizontalWells. SPEREE 1 (6): 509-518. SPE-53002-PA. DOI:10.2118/53002-PA.
Lee, H., Wu, Z., and Torres-Verdín, C. 2004. Development of aTwo-Dimensional, Axi-Symmetric Single Well Code for Two-Phase Immiscible FluidFlow, Salt Mixing, and Temperature Equilibration in the Near Wellbore RegionWith Applications to the Simulation of Mud-Filtrate Invasion And FormationTester Data. Appendix II. Fourth Annual Report. Austin, Texas: FormationEvaluation Program at University of Texas at Austin.
Leverett, M.C. 1941. CapillaryBehavior in Porous Solids. Trans., AIME, 142, 152-169.
Onur, M., Hegeman, P.S., and Kuchuk, F.J. 2004. Pressure-Transient Analysis of DualPacker-Probe Wireline Formation Testers in Slanted Wells. Paper SPE 90250presented at the SPE Annual Technical Conference and Exhibition, Houston, 26-29September. DOI: 10.2118/90250-MS.
Pop, J.J., Badry, R.A., Morris, C.W., Wilkinson, D.J., Tottrup, P., andJonas, J.K. 1993. VerticalInterference Testing With a Wireline-Conveyed Straddle-Packer Tool. PaperSPE 26481 presented at the SPE Annual Technical Conference and Exhibition,Houston, 3-6 October. DOI: 10.2118/26481-MS.
Proett, M.A., Chin, W.C., and Mandal, B. 2000. Advanced Dual Probe Formation TesterWith Transient, Harmonic, and Pulsed Time-Delay Testing Methods DeterminesPermeability, Skin, and Anisotropy. Paper SPE 64650 presented at the SPEInternational Oil and Gas Conference and Exhibition in China, Beijing, 7-10November. DOI: 10.2118/64650-MS.
Pucknell, J.K. and Clifford, P.J. 1991. Calculation of Total SkinFactors. Paper SPE 23100 presented at the SPE Offshore Europe Conference,Aberdeen, 3-6 September. DOI: 10.2118/23100-MS.
Wu, J., Torres-Verdín, C., Proett, M.A., Sepehrnoori, K., and Belanger, D.2002. Inversion of MultiphasePetrophysical Properties Using Pumpout Sampling Data Acquired With a WirelineFormation Tester. Paper SPE 77345 presented at the SPE Annual TechnicalConference and Exhibition, San Antonio, Texas, 29 September-2 October 2. DOI:10.2118/77345-MS.
Xian, C., Carnegie, A., Al Raisi, M.R., Petricola, M., and Chen, J. 2004. An Integrated Efficient Approach ToPerform IPTT Interpretation. Paper SPE 88561 presented at the SPE AsiaPacific Oil and Gas Conference and Exhibition, Perth, Australia, 18-20 October.DOI: 10.2118/88561-MS.
Zeybek, M., Ramakrishnan, T.S., Al-Otaibi, S.S., Salamy, S.P., and Kuchuk,F.J. 2001. Estimating MultiphaseFlow Properties Using Pressure and Flowline Water-Cut Data From Dual PackerFormation Tester Interval Tests and Openhole Array ResistivityMeasurements. Paper SPE 71568 presented at the SPE Annual TechnicalConference and Exhibition, New Orleans, 30 September-3 October. DOI:10.2118/71568-MS.