Predicting Sorption-Induced Strain and Permeability Increase With Depletion for Coalbed-Methane Reservoirs
- Christopher R. Clarkson (University of Calgary) | Zhejun Pan (CSIRO Petroleum Resources) | Ian D. Palmer (Higgs-Palmer Technologies) | Satya Harpalani (Southern Illinois University)
- Document ID
- Society of Petroleum Engineers
- SPE Journal
- Publication Date
- March 2010
- Document Type
- Journal Paper
- 152 - 159
- 2010. Society of Petroleum Engineers
- 5.4 Enhanced Recovery, 4.1.5 Processing Equipment, 5.5.8 History Matching, 5.1.5 Geologic Modeling, 2.4.3 Sand/Solids Control, 5.8.2 Shale Gas, 5.8.3 Coal Seam Gas, 5.2.2 Fluid Modeling, Equations of State, 5.4.2 Gas Injection Methods, 5.6.1 Open hole/cased hole log analysis, 5.5 Reservoir Simulation, 1.2.2 Geomechanics, 1.2.3 Rock properties, 3.2.3 Hydraulic Fracturing Design, Implementation and Optimisation, 4.1.2 Separation and Treating
- sorption-induced strain, permeability modeling, Palmer & Mansoori equation, Pan & Connell model, coalbed methane
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It is well known that absolute permeability changes occur in coalbed methane (CBM) reservoirs during primary depletion or enhanced recovery/CO2 sequestration operations. Sorption-induced strain in CBM reservoirs, also known as matrix shrinkage or swelling, may dominate permeability changes at low pressures, as is the case for CBM wells undergoing primary depletion in the Fruitland coal fairway of the San Juan basin.
Several analytical models have been developed to predict changes in coal permeability as a function of stress and sorption. Most models, however, utilize an empirical method for estimating sorption-induced strain. Recently, a theoretical model for sorption-induced strain was developed and applied to single-component adsorption/strain experimental data. The new model was developed from basic thermodynamic principles and is more predictive than the empirically based approaches. In this paper, the theoretical model is expanded to incorporate multicomponent adsorption models that are more rigorous, and sometimes more accurate, than the commonly applied extended Langmuir (EL) equation. This improves predictions of multicomponent gas sorption-induced strain, as demonstrated by comparison to experimental data. The new sorption-induced strain model is then used to calculate the sorption-strain component of the popular Palmer and Mansoori (P&M) equation, which, in turn, can be used to model permeability changes during both primary (single- or multicomponent gas) and enhanced recovery operations. Finally, the coupled sorption-strain/permeability model, incorporated into an analytical simulator, is used to predict and match permeability growth in a producing CBM well in the Fruitland coal fairway, which has a binary (CH4 + CO2) sorbed/produced gas composition.
Matches to field-derived permeability growth using the new model are accurate but nonunique because of the lack of available data, particularly rock mechanical properties. Given the availability of rock mechanics and adsorption isotherm data, the rigorous thermodynamic basis of the new model should allow for more accurate predictions of coalbed permeability changes, but further testing is required.
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Bentz, D.P., Garboczi, E.J., and Quenard, D.A. 1998. Modelling drying shrinkagein reconstructed porous materials: application to porous Vycor glass.Modelling Simul. Mater. Sci. Eng. 6 (3): 211-236. doi:10.1088/0965-0393/6/3/002.
Chikatamarla, L., Cui, X., and Bustin, R.M. 2004. Implications ofVolumetric/Shrinkage of Coal in Sequestration of Acid Gases. Paper 0435presented at the International Coalbed Methane Symposium, Tuscaloosa, Alabama,USA, 3-7 May.
Clarkson, C.R. and Bustin, R.M. 1999. The effect of porestructure and gas pressure upon the transport properties of coal. 1. Isothermsand pore volume distributions. Fuel 78 (11): 1333-1334.doi: 10.1016/S0016-2361(99)00055-1.
Clarkson, C.R. and McGovern, J.M. 2003. A New Tool for UnconventionalReservoir Exploration and Development Applications. Paper 0336 presented at theInternational Coalbed Methane Symposium, Tuscaloosa, Alabama, USA, 5-7 May.
Clarkson, C.R., Jordan, C.L., Gierhart, R.R., and Seidle, J.P. 2008a. Production Data Analysis ofCoalbed-Methane Wells. SPE Res Eval & Eng 11 (2):311-325. SPE-107705-PA. doi: 10.2118/107705-PA.
Clarkson, C.R., Pan, Z., Palmer, I., and Harpalani, S. 2008b. Predicting Sorption-Induced Strainand Permeability Increase With Depletion for CBM Reservoirs. Paper SPE114778 presented at the SPE Annual Technical Conference and Exhibition, Denver,21-24 September. doi: 10.2118/114778-MS.
Cui, X., and Bustin, R.M. 2005. Volumetric strain associated withmethane desorption and its impact on coalbed gas production from deep coalseams. AAPG Bulletin 89 (9): 1181-1202. doi:10.1306/05110504114.
Cui, X., Bustin, R.M., and Chikatamarla, L. 2007. Adsorption-induced coal swellingand stress: Implications for methane production and acid gas sequestration intocoal seams. J. Geophys. Res. 112 (B10202): 1-16. doi:10.1029/2004JB003482.
Do, D.D. 1998. Adsorption Analysis: Equilibria and Kinetics. London:Imperial College Press.
Gierhart, R.R., Clarkson, C.R., and Seidle, J.P. 2007. Spatial Variation of San Juan BasinFruitland Coalbed Methane Pressure Dependent Permeability: Magnitude andFunctional Form. Paper IPTC 11333 presented at the International PetroleumTechnology Conference, Dubai, 4-6 December. doi: 10.2523/11333-MS.
Hall, F.E., Zhou, C., Gasem, K.A.M., Robinson, R.L. Jr., and Yee, D. 1994.Adsorption of pure methane,nitrogen, and carbon dioxide and their binary mixtures on wet Fruitlandcoal. Paper SPE 29194 presented at the Eastern Regional Meeting,Charleston, West Virginia, USA, 8-10 November. doi: 10.2118/29194-MS.
Karacan, C.Ö. 2007. Swelling-induced volumetricstrains internal to a stressed coal associated with CO2sorption. International Journal of Coal Geology 72 (4):209-220. doi: 10.1016/j.coal.2007.01.003.
Levine J.R. 1996. Model Study of the Influence of Matrix Shrinkage onAbsolute Permeability of Coalbed Reservoirs. In Coalbed Methane and CoalGeology, ed. R. Gayer and I. Harris, No. 109, 197-212. Bath, UK: SpecialPublications, The Geological Society Publishing House.
Mavor, M.J. and Gunter, W.D. 2006. Secondary Porosity and Permeabilityof Coal vs. Gas Composition and Pressure. SPE Res Eval & Eng 9 (2): 114-125. SPE-90255-PA. doi: 10.2118/90255-PA.
Mavor, M.J. and Vaughn, J.E. 1998. Increasing Coal Absolute Permeabilityin the San Juan Basin Fruitland Formation. SPE Res Eval & Eng 1 (3): 201-206. SPE-39105-PA. doi: 10.2118/39105-PA.
Mazumder, S. and Wolf, K.H. 2008. Differential swelling andpermeability change in coal in response to CO2 injection forECBM. International Journal of Coal Geology 74 (2):122-138. doi: 10.1016/j.coal.2007.11.001.
Mitra, A. and Harpalani, S. 2007. Modeling Incremental Swelling ofCoal Matrix with CO2 Injection in Coalbed Methane Reservoirs. Paper SPE111184 presented at the Eastern Regional Meeting, Lexington, Kentucky, USA,17-19 October. doi: 10.2118/111184-MS.
Moffat, D.H. and Weale, K.E. 1955. Sorption by Coal of Methane at HighPressures. Fuel 34: 449-462.
Myers, A.L. 2002. Thermodynamics of adsorption inporous materials. AIChE Journal 48 (1): 145-160. doi:10.1002/aic.690480115.
Myers, A.L. and Prausnitz, J.M. 1965. Thermodynamics of mixed-gasadsorption. AIChE Journal 11 (1):121-127. doi:10.1002/aic.690110125.
Palmer, I. 2008. Permeability changes incoal: Analytical modeling. International Journal of Coal Geology 77 (1-2): 119-126. doi: 10.1016/j.coal.2008.09.006.
Palmer, I. and Mansoori, J. 1998. How Permeability Depends on Stressand Pore Pressure in Coalbeds: A New Model. SPE Res Eval & Eng 1 (6): 539-544. SPE-52607-PA. doi: 10.2118/52607-PA.
Palmer, I., Mavor, M., and Gunter, B. 2007. Permeability Changes in CoalSeams During Production and Injection. Paper 0713 presented at theInternational Coalbed Methane Symposium, Tuscaloosa, Alabama, USA, 5-9 May.
Pan, Z. and Connell, L.D. 2007. A theoretical model for gasadsorption-induced coal swelling. International Journal of CoalGeology 69 (4): 243-252. doi:10.1016/j.coal.2006.04.006.
Scherer, G.W. 1986. Dilation of PorousGlass. Journal of the American Ceramic Society 69 (6):473-480. doi: 10.1111/j.1151-2916.1986.tb07448.x.
Shi, J-Q. and Durucan, S. 2005. A Model for Changes in CoalbedPermeability During Primary and Enhanced Methane Recovery. SPE Res Eval& Eng 8 (4): 291-299. SPE-87230-PA. doi:10.2118/87230-PA.
Zahner, R. 1997. Application ofMaterial Balance to Determine Ultimate Recovery of a San Juan Fruitland CoalWell. Paper SPE 38858 presented at the SPE Annual Technical Conference andExhibition, San Antonio, Texas, USA, 5-8 October. doi: 10.2118/38858-MS.