Impact of Shale-Gas Apparent Permeability on Production: Combined Effects of Non-Darcy Flow/Gas-Slippage, Desorption, and Geomechanics
- HanYi Wang (The University of Texas at Austin) | Matteo Marongiu-Porcu (Schlumberger)
- Document ID
- Society of Petroleum Engineers
- SPE Reservoir Evaluation & Engineering
- Publication Date
- November 2015
- Document Type
- Journal Paper
- 495 - 507
- 2015.Society of Petroleum Engineers
- Geomechanics, Permeability, Shale Gas, Non-Darcy Flow, Adsorption Layer
- 6 in the last 30 days
- 1,019 since 2007
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Permeability is one of the most fundamental reservoir-rock properties required for modeling hydrocarbon production. Many shale-gas and ultralow-permeability tight gas reservoirs can have matrix-permeability values in the range of tens to hundreds of nanodarcies. The ultrafine pore structure of these rocks can cause violation of the basic assumptions behind Darcy's law. Depending on a combination of pressure-temperature conditions, pore structure and gas properties, non-Darcy flow mechanisms such as Knudsen diffusion, and/or gas-slippage effects will affect the matrix apparent permeability.
Even though numerous theoretical and empirical models were proposed to describe the increasing apparent permeability caused by non-Darcy flow/gas-slippage behavior in nanopore space, few literature sources have investigated the impact of formation compaction and the release of the adsorption gas layer upon shale-matrix apparent permeability during reservoir depletion.
In this article, we first present a thorough review on gas flow in shale nanopore space and discuss the factors that can affect shale-matrix apparent permeability, besides the well-studied non-Darcy flow/gas-slippage behavior. Then, a unified shale-matrix apparent-permeability model is proposed to bridge the effects of non-Darcy flow/gas-slippage, geomechanics (formation compaction), and the release of the adsorption gas layer into a single, coherent equation. In addition, a mathematical framework for an unconventional reservoir simulator that was developed for this study is also presented.
Different matrix apparent-permeability models are implemented in our numerical simulator to examine how the various factors affect matrix apparent permeability within the simulated reservoir volume. Finally, the impact of a natural-fracture network on matrix apparent-permeability evolution is investigated. The results indicate that, even though the conductive fracture network plays a vital role in shale-gas production, the matrix apparent-permeability evolution during pressure depletion cannot be neglected for accurate production modeling.
|File Size||1 MB||Number of Pages||13|
Aguilera, R. 2002. Incorporating Capillary Pressure, Pore Throat Aperture Radii, Height Above Free Water Table, and Winland r35 Values on Pickett Plots. AAPG Bull. 86: 605–624. http://dx.doi.org/10.1306/61EEDB5C-173E-11D7-8645000102C1865D.
Beskok, A. and Karniadakis, G. E. 1999. A Model for Flows in Channels, Pipes, and Ducts at Micro and Nano Scales. Microscale Thermophysical. Eng. 3 (1): 43–77. http://dx.doi.org/10.1080/108939599199864.
Cho, Y., Ozkan, E., and Apaydin, O. G. 2013. Pressure-Dependent Natural-Fracture Permeability in Shale and Its Effect on Shale-Gas Well Production. SPE Res Eval & Eng 16 (2): 216–228. SPE-159801-PA. http://dx.doi.org/10.2118/159801-PA.
Cipolla, C. L., Mack, M. G., Maxwell, S. C. et al. 2011. A Practical Guide to Interpreting Microseismic Measurements. Paper presented at the North American Unconventional Gas Conference and Exhibition, The Woodlands, Texas, USA, 14–16 June. SPE 144067-MS. http://dx.doi.org/10.2118/144067-MS.
Civan, F. 2010. Effective Correlation of Apparent Gas Permeability in Tight Porous Media. Transport in Porous Media 82 (2): 375–384. http://dx.doi.org/10.1007/s11242-009-9432-z.
Civan, F., Rai, C. S., and Sondergeld, C. H. 2011. Shale-Gas Permeability and Diffusivity Inferred by Improved Formulation of Relevant Retention and Transport Mechanisms. Transport in Porous Media 86 (3): 925–944. http://dx.doi.org/10.1007/s11242-010-9665-x.
Darabi, H., Ettehad, A., Javadpour, F. et al. 2012. Gas Flow in Ultra-Tight Shale Strata. J. Fluid Mechanics 710: 641–658. http://dx.doi.org/10.1017/jfm.2012.424.
Dong, J. J., Hsu, J. Y., and Wu, W. J. 2010. Stress-Dependence of the Permeability and Porosity of Sandstone and Shale from TCDP Hole-A. International J. Rock Mechanics and Mining Sciences 47 (7): 1141–1157. http://dx.doi.org/10.1016/j.ijrmms.2010.06.019.
Elahi Naraghi, M. and Javadpour, Farzam. 2015. A Stochastic Permeability Model for the Shale-Gas Systems. International J. Coal Geology 140: 111–124, http://dx.doi.org/10.1016/j.coal.2015.02.004.
Fathi, E., Tinni, A., and Akkutlu, I. Y. 2012. Shale Gas Correction to Klinkenberg Slip Theory. Paper presented at the SPE Americas Unconventional Resources Conferences at Pittsburgh, Pennsylvania, USA, 5–7 June. SPE-154977-MS. http://dx.doi.org/10.2118/154977-MS.
Florence, F. A., Rushing, J. A., Newsham, K. E. et al. 2007. Improved Permeability Prediction Relations for Low-Permeability Sands. Paper presented at the SPE Rocky Mountain Oil and Gas Technology Symposium, Denver, USA, 16–18 April. SPE-107954-MS. http://dx.doi.org/10.2118/107954-MS.
Javadpour, F., Fisher, D., and Unsworth, M. 2007. Nanoscale Gas Flow in Shale Gas Sediments. J Can Pet Technol 46 (10): 55–61. SPE-07-10-06-PA. http://dx.doi.org/10.2118/07-10-06-PA.
Javadpour, F. 2009. Nanopores and Apparent Permeability of Gas Flow in Mudrocks (Shales and Siltstone). J Can Pet Technol 48 (8): 16–21. SPE-09-08-16-PA. http://dx.doi.org/10.2118/09-08-16-PA.
Klinkenberg, L. J. 1941. The Permeability of Porous Media to Liquid and Gases. API Drilling and Production Practice, 200–213.
Knudsen, M. 1909. Die Gesetze der Molekularstro¨mung und der inneren Reibungsstro¨mung der Gase durch Ro¨hren (The Laws of Molecular and Viscous Flow of Gases Through Tubes). Ann. Phys. 333 (1): 75–130. http://dx.doi.org/10.1002/andp.19093330106.
Langmuir, I. 1916. The Constitution and Fundamental Properties of Solids and Liquids. J. American Chemical Society 38 (11): 2221–2295. http://dx.doi.org/10.1021/ja02268a002.
Lee, A L., Gonzalez, M. H., and Eakin, B. E. 1966. The Viscosity of Natural Gases. J Pet Technol 18 (8): 997–1000. SPE-1340-PA. http://dx.doi.org/10.2118/1340-PA.
Mahmoud, M. A. 2013. Development of a New Correlation of Gas Compressibility Factor (Z-Factor) for High-Pressure Gas Reservoirs. JERT-13-1048. http://dx.doi.org/10.1115/1.4025019.
Mallon, A. J. and Swarbrick, R. E. 2008. How Should Permeability Be Measured in Fine-Grained Lithologies? Evidence From the Chalk. Geofluids 8 (1): 35–45. http://dx.doi.org/10.1111/j.1468-8123.2007.00203.x.
Pedrosa, O. A. Jr. 1986. Pressure Transient Response in Stress-Sensitive Formation. Paper presented at the 56th California Regional Meeting of the Society of Petroleum Engineers, Oakland, California, USA, 2–4 April. SPE-15115-MS. http://dx.doi.org/10.2118/15115-MS.
Peyret, O., Drew, J., Mack, M. et al. 2012. Subsurface to Surface Microseismic Monitoring for Hydraulic Fracturing. Paper presented at the SPE Annual Technical Conference and Exhibition, San Antonio, Texas, USA, 8–10 October. SPE-159670-MS. http://dx.doi.org/10.2118/159670-MS.
Roy, S., Raju, R., Chuang, H. F. et al. 2003. Modeling Gas Flow Through Microchannels and Nanopores. J. Appl. Phys. 93 (8): 4,870–4,879. http://dx.doi.org/10.1063/1.1559936.
Sakhaee-Pour, A. and Bryant, S. L. 2012. Gas Permeability of Shale. SPE Res Eval & Eng 15 (4): 401–409. SPE-146944-PA. http://dx.doi.org/10.2118/146944-PA.
Shabro, V., Torres-Verdin, C., and Javadpour, F. 2011. Numerical Simulation of Shale-Gas Production: From Pore-Scale Modeling of Slip-Flow, Knudsen Diffusion, and Langmuir Desorption to Reservoir Modeling of Compressible Fluid. Paper presented at the North American Unconventional Gas Conference and Exhibition, The Woodlands, Texas, USA, 14–16 June. SPE-144355-MS. http://dx.doi.org/10.2118/144355-MS.
Shabro, V., Torres-Verdin, C., and Sepehrnoori, K. 2012. Forecasting Gas Production in Organic Shale With the Combined Numerical Simulation of Gas Diffusion in Kerogen, Langmuir Desorption From Kerogen Surfaces, and Advection in Nanopores. Paper presented at the SPE Annual Technical Conference and Exhibition, San Antonio, Texas, USA, 8–10 October. SPE-159250-MS. http://dx.doi.org/10.2118/159250-MS.
Sherman, F. 1969. The Transition From Continuum to Molecular Flow. Annual Review of Fluid Mechanics 1: 317–340. http://dx.doi.org/10.1146/annurev.fl.01.010169.001533.
Singh, H., Javadpour, F., Ettehad, A. et al. 2014. Nonempirical Apparent Permeability of Shale. SPE Res Eval & Eng 17 (3): 414–424. SPE-170243-PA. http://dx.doi.org/10.2118/170243-PA.
Soeder, D. J. 1988. Porosity and Permeability of Eastern Devonian Gas Shale. SPE Form Eval 3 (1): 116–124. SPE-15213-PA. http://dx.doi.org/10.2118/15213-PA.
Swami, V., Clarkson, C. R., and Settari, A. 2012. Non-Darcy Flow in Shale Nanopores: Do We Have a Final Answer? Paper presented at the Canadian Unconventional Resources Conference, Calgary, 30 October–1 November. SPE-162665-MS. http://dx.doi.org/10.2118/162665-MS.
Vera, F. and Ehlig-Economides, C. 2013. Diagnosing Pressure-Dependent-Permeability in Long-Term Shale Gas Pressure and Production Transient Analysis. Paper presented SPE Annual Technical Conference and Exhibition held in New Orleans, Louisiana, USA, 30 September–2 October 2013. SPE-166152-MS. http://dx.doi.org/10.2118/166152-MS.
Wang, H., Ajao, O., and Economides, M. J. 2014. Conceptual Study of Thermal Stimulation in Shale Gas Formations. J. Natural Gas Science and Engineering 21: 874–885. http://dx.doi.org/10.1016/j.jngse.2014.10.015.
Xiao, X., Sun, H., Han, Y. et al. 2009. Dynamic Characteristic Evaluation Methods of Stress Sensitive Abnormal High Pressure Gas Reservoir. Paper presented at the SPE Annual Technical Conference and Exhibition, New Orleans, USA, 4–7 October. SPE-124415-MS. http://dx.doi.org/10.2118/124415-MS.
Ypma, T. J. 1995. Historical Development of the Newton-Raphson Method. SIAM Review 37 (4): 531–551. http://dx.doi.org/10.1137/1037125.
Zakhour, N., Sunwall, M., Benavidez, R. et al. 2015. Real-Time Use of Microseismic Monitoring for Horizontal Completion Optimization Across a Major Fault in the Eagle Ford Formation. Paper presented at the SPE Hydraulic Fracturing Technology Conference, The Woodlands, Texas, USA, 3–5 February. SPE-173353-MS. http://dx.doi.org/10.2118/173353-MS.
Ziarani, A. S. and Aguilera, R. 2011. Knudsen’s Permeability Correction for Tight Porous Media. Transport in Porous Media 91 (1): 239–260. http://dx.doi.org/10.1007/s11242-011-9842-6.
Zienkiewicz, O. C. and Taylor, R. L. 2005. The Finite Element Method: Its Basis and Fundamentals, fifth edition, Vol. 1, 42–45. London: Elsevier Pte. Ltd.