Analysis of Transient Linear Flow in Stress-Sensitive Formations
- Farhad Qanbari (University of Calgary) | Christopher R. Clarkson (University of Calgary)
- Document ID
- Society of Petroleum Engineers
- SPE Reservoir Evaluation & Engineering
- Publication Date
- February 2013
- Document Type
- Journal Paper
- 98 - 104
- 2013.Society of Petroleum Engineers
- 6 Reservoir Description and Dynamics, 6.6 Reservoir Monitoring/Formation Evaluation
- prodution data analysis, transient linear flow, tight oil reservoirs, stress-sensitive formations
- 3 in the last 30 days
- 826 since 2007
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Rate- and pressure-transient analysis of unconventional gas and oil reservoirs is a challenge because of the complex reservoir characteristics that dictate flow. Transient linear flow is usually an important flow regime for these reservoirs and is often associated with linear flow to induced hydraulic fractures. One of the complications in the analysis of this flow regime is stress sensitivity of porosity and permeability. This work provides a new method for analysis of transient linear flow in stress-sensitive tight oil reservoirs. A correction factor is used to correct the results of the conventional method for analysis of transient linear flow in tight oil reservoirs. A new method is developed for calculating the correction factor by use of an analytical solution to the flow equation. The correction factor is used for production-data analysis of two examples for constant-pressure and constant-rate production. The results indicate that the correction factor becomes more important for higher values of permeability modulus and pressure drawdown. Further, we demonstrate that the correction factor can eliminate the considerable error of the conventional analysis method in estimating initial reservoir permeability or hydraulic fracture half-length.
|File Size||630 KB||Number of Pages||7|
Al-Hussainy, R., Ramey H. J. Jr. and Crawford, P. B. 1966. The Flow of Real Gases through Porous Media. J Pet. Tech. 18 (5): 624-636.http://dx.doi.org/10.2118/1243-A-PA.
Ames, W.F. 1965. Nonlinear Partial Differential Equations in Engineering. New York: Academic Press Inc.
Aziz, K. and Settari, A. 1979. Petroleum Reservoir Simulation.London, UK: Applied Science Publishers Ltd.
Cobble, M.H. 1967. Nonlinear Heat Transfer of Solids in Orthogonal Coordinate Systems. Int. J. Nonlinear Mech. 2 (4): 417-426.http://dx.doi.org/10.1016/0020-7462(67)90008-X.
Crank, J. and Henry, M.E. 1949a. Diffusion in Media with Variable Properties. Part I. The Effect of a Variable Diffusion Coefficient on the Rates of Absorption and Desorption. Trans. Faraday Society 45:636-650. http://dx.doi.org/10.1039/TF9494500636.
Crank, J. and Henry, M.E. 1949b. Diffusion in Media with Variable Properties. Part I. The Effect of a Variable Diffusion Coefficient on the Concentration-Distance Relationship in the Non-Steady State. Trans. FaradaySociety 45: 1119-1139. http://dx.doi.org/10.1039/TF9494501119.
Crank, J. 1975. The Mathematics of Diffusion. London, UK: OxfordUniversity Press.
Fujita, H. 1952a. The Exact Pattern of a Concentration-Dependent Diffusionin a Semi-Infinite Medium, Part I. Text. Res. J. 22 (11):757-760. http://dx.doi.org/10.1177/004051755202201106.
Fujita, H. 1952b. The Exact Pattern of a Concentration-Dependent Diffusionin a Semi-Infinite Medium, Part II. Text. Res. J. 22 (12):823-827. http://dx.doi.org/10.1177/004051755202201209.
Fujita, H. 1954. The Exact Pattern of a Concentration-Dependent Diffusion ina Semi-Infinite Medium, Part III. Text. Res. J. 24 (3):234-240. http://dx.doi.org/10.1177/004051755402400304.
Hill, J.M. 1989. Simulation Solutions for Nonlinear Diffusion - A NewIntegration Procedure. J. Eng. Math. 23 (2): 141-155. http://dx.doi.org/10.1007/BF00128865.
Ibrahim, M. and Wattenbarger, R.A. 2006. Analysis of Rate Dependence in Transient Linear Flow in Tight Gas Wells. Paper SPE 100836 presented at the2006 Abu Dhabi International Petroleum Exhibition and Conference held in AbuDhabi, United Arab Emirates, 5-8 November. http://dx.doi.org/10.2118/100836-MS.
Kashchiev, D. and Firoozabadi, A. 2003. Analytical Solutions for 1D Countercurrent Imbibition in Water-Wet Media. SPE J. 8 (4):401-408. http://dx.doi.org/10.2118/87333-PA.
Muskat, M. 1949. The Theory of Potentiometric Models. Trans. AIME 179 (1): 216-221. http://dx.doi.org/10.2118/949216-G.
Nobakht, M. and Clarkson, C.R. 2011. A New Analytical Method for Analyzing Production Data from Shale Gas Reservoirs Exhibiting Linear Flow: Constant Pressure Production. SPE Paper 143989 presented at the Americas Unconventional Gas Conference, Woodlands, Texas, USA, 14-16 June. http://dx.doi.org/10.2118/143989-MS.
Parlange, M.B., Parsad, S.N., Parlange, J.Y., et al. 1992. Extension of the Heaslet-Alksne Technique to Arbitrary Soil Water Diffusivities. WaterResour. Res. 28 (10): 2793-2797. http://dx.doi.org/10.1029/92WR01683.
Pedrosa, O.A. 1986. Pressure Transient Response in Stress-Sensitive Formations. SPE Paper 15115 presented at the SPE California Regional Meeting,Oakland, California, 2-4 April. http://dx.doi.org/10.2118/15115-MS.
Philip, J.R. 1955. Numerical Solution of Equations of the Diffusivity Typewith Diffusivity Concentration-Dependent. J. Eng. Math. 8:219-227.
Raghavan, R., Scorer, J.D.T. and Miller, F.G. 1972. An Investigation by Numerical Methods of the Effect of Pressure-Dependent Rock and Fluid Properties on Well Flow Tests. SPE J. 12 (3): 267-275. http://dx.doi.org/10.2118/2617-PA.