Cleat-scale modelling of the coal permeability evolution due to sorption-induced strain

[en] A model is developed at the scale of the fractures to take into account the hydromechanical couplings observed experimentally. It is implemented in the finite element code Lagamine. This numerical model is developed at the scale of the fractures and the matrix blocks. Fractures are modelled with interface elements specially adapted to manage sorption/desorption by taking into account the Langmuir’s isotherm.

Disciplines :

Geological, petroleum & mining engineering

Author, co-author :

Bertrand, François ; Université de Liège - ULiège > Département ArGEnCo > Géotechnique

Buzzi, Olivier; University of Newcastle

Collin, Frédéric ; Université de Liège - ULiège > Département ArGEnCo > Géotechnique

Language :

English

Title :

Cleat-scale modelling of the coal permeability evolution due to sorption-induced strain

Publication date :

2019

Journal title :

International Journal of Coal Geology

ISSN :

0166-5162

Publisher :

Elsevier, Netherlands

Peer reviewed :

Peer Reviewed verified by ORBi

Funders :

FRIA - Fonds pour la Formation à la Recherche dans l'Industrie et dans l'Agriculture

Available on ORBi :

since 28 October 2019

Statistics

Number of views

113 (16 by ULiège)

Number of downloads

218 (9 by ULiège)

More statistics

Scopus citations^®

Scopus citations^®
without self-citations

OpenCitations

OpenAlex citations

See more details

publications

supporting

mentioning

contrasting

Smart Citations

Citing PublicationsSupportingMentioningContrasting

View Citations

See how this article has been cited at scite.ai

scite shows how a scientific paper has been cited by providing the context of the citation, a classification describing whether it supports, mentions, or contrasts the cited claim, and a label indicating in which section the citation was made.

Bibliography

Argilaga, A., Papachristos, E., Caillerie, D., and Dal Pont, S. (2016). Homogenization of a cracked saturated porous medium: Theoretical aspects and numerical implementation. International Journal of Solids and Structures, 94:222–237.
Bandis, S., Lumsden, A., and Barton, N. (1983). Fundamentals of rock joint deformation. In International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, volume 20, pages 249–268. Elsevier.
Barenblatt, G., Zheltov, I. P., and Kochina, I. (1960). Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [strata]. Journal of applied mathematics and mechanics, 24(5):1286–1303.
Barton, N., Bandis, S., and Bakhtar, K. (1985). Strength, deformation and conductivity coupling of rock joints. In International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, 22, 121–140. Elsevier.
Berkowitz, N. (1985). The chemistry of coal.
Bertrand, F., Cerfontaine, B., and Collin, F. (2017). A fully coupled hydro-mechanical model for the modeling of coalbed methane recovery. Journal of Natural Gas Science and Engineering, 46:307–325.
Cerfontaine, B., Dieudonné, A.-C., Radu, J.-P., Collin, F., and Charlier, R. (2015). 3d zero-thickness coupled interface finite element: formulation and application. Computers and Geotechnics, 69:124–140.
Charlier, R. (1987). Approche unifiée de quelques problèmes non linéaires de mécanique des milieux continus par la méthode des éléments finis (grandes déformations des métaux et des sols, contact unilatéral de solides, conduction thermique et écoulements en milieu poreux). PhD thesis, Université de Liège.
Chen, C.-Y., Horne, R. N., and Fourar, M. (2004). Experimental study of liquid-gas flow structure effects on relative permeabilities in a fracture. Water Resources Research, 40(8).
Collin, F., Li, X.-L., Radu, J.-P., and Charlier, R. (2002). Thermo-hydro-mechanical coupling in clay barriers. Engineering Geology, 64(2):179–193.
Connell, L. D., Lu, M., and Pan, Z. (2010). An analytical coal permeability model for tri-axial strain and stress conditions. International Journal of Coal Geology, 84(2):103–114.
Corey, A. T. (1954). The interrelation between gas and oil relative permeabilities. Producers monthly, 19(1):38–41.
Cui, X. and Bustin, R. M. (2005). Volumetric strain associated with methane desorption and its impact on coalbed gas production from deep coal seams. Aapg Bulletin, 89(9):1181–1202.
Cussler, E. L. (2009). Diffusion: mass transfer in fluid systems. Cambridge university press.
Darcy, H. (1856). Les fontaines publiques de la ville de Dijon. Librairie des Corps Impériaux des Ponts et Chaussées et des Mines.
Fick, A. (1855). Ueber diffusion. Annalen der Physik, 170(1):59–86.
Fourar, M., Lenormand, R., et al. (1998). A viscous coupling model for relative permeabilities in fractures. In SPE Annual Technical Conference and Exhibition. Society of Petroleum Engineers.
Gens, A., Carol, I., and Alonso, E. (1990). A constitutive model for rock joints formulation and numerical implementation. Computers and Geotechnics, 9(1-2):3–20.
Gilman, A. and Beckie, R. (2000). Flow of coal-bed methane to a gallery. Transport in porous media, 41(1):1–16.
Goodman, R. E. (1976). Methods of geological engineering in discontinuous rocks.
Gray, I. et al. (1987). Reservoir engineering in coal seams: Part 1-the physical process of gas storage and movement in coal seams. SPE Reservoir Engineering, 2(01):28–34.
Gustafsson, B. and Vasil'’ev, A. (2006). Conformal and potential analysis in Hele-Shaw cells. Springer Science & Business Media.
Habraken, A.-M. (1989). Contribution à la modélisation du formage des métaux par la méthode des éléments finis. PhD thesis, Universté de Liège.
Harpalani, S. and Chen, G. (1997). Influence of gas production induced volumetric strain on permeability of coal. Geotechnical & Geological Engineering, 15(4):303–325.
Intergovernmental Panel on Climate Change - IPCC (2015). Climate change 2014: Mitigation of climate change, volume 3. Cambridge University Press.
Ismail, A. F., Khulbe, K. C., and Matsuura, T. (2015). Gas separation membranes, volume 7. Springer.
Karacan, C. Ö. (2003). Heterogeneous sorption and swelling in a confined and stressed coal during co2 injection. Energy & Fuels, 17(6):1595–1608.
Kewen, L. et al. (2004). Theoretical development of the brooks-corey capillary pressure model from fractal modeling of porous media. In SPE/DOE Symposium on Improved Oil Recovery. Society of Petroleum Engineers.
Klinkenberg, L. et al. (1941). The permeability of porous media to liquids and gases. In Drilling and production practice. American Petroleum Institute.
Kundt, A. and Warburg, E. (1875). Ueber reibung und wärmeleitung verdünnter gase. Annalen der Physik, 232(10):177–211.
Langmuir, I. (1918). The adsorption of gases on plane surfaces of glass, mica and platinum. Journal of the American Chemical society, 40(9):1361–1403.
Lu, S., Cheng, Y., and Li, W. (2016). Model development and analysis of the evolution of coal permeability under different boundary conditions. Journal of Natural Gas Science and Engineering, 31:129–138.
Mandelbrot, B. B. and Pignoni, R. (1983). The fractal geometry of nature.
Marinelli, F., Van den Eijnden, A., Sieffert, Y., Chambon, R., and Collin, F. (2016). Modeling of granular solids with computational homogenization: Comparison with biot’ s theory. Finite Elements in Analysis and Design, 119:45–62.
Olsson, R. and Barton, N. (2001). An improved model for hydromechanical coupling during shearing of rock joints. International Journal of Rock Mechanics and Mining Sciences, 38(3):317–329.
Pan, Z. and Connell, L. D. (2007). A theoretical model for gas adsorption-induced coal swelling. International Journal of Coal Geology, 69(4):243–252.
Pan, Z. and Connell, L. D. (2012). Modelling permeability for coal reservoirs: a review of analytical models and testing data. International Journal of Coal Geology, 92:1–44.
Peng, Y., Liu, J., Pan, Z., Connell, L. D., Chen, Z., and Qu, H. (2017). Impact of coal matrix strains on the evolution of permeability. Fuel, 189:270–283.
Reiss, L. H. (1980). The reservoir engineering aspects of fractured formations, volume 3. Editions Technip.
Romm, E. S. (1966). Fluid flow in fractured rocks (in Russian). Nedra Publishing House.
Schwerer, F., Pavone, A., et al. (1984). Effect of pressure-dependent permeability on well-test analyses and long-term production of methane from coal seams. In SPE Unconventional Gas Recovery Symposium. Society of Petroleum Engineers.
Seidle, J., Jeansonne, M., Erickson, D., et al. (1992). Application of matchstick geometry to stress dependent permeability in coals. In SPE Rocky Mountain Regional Meeting. Society of Petroleum Engineers.
Shi, J. and Durucan, S. (2003). A bidisperse pore diffusion model for methane displacement desorption in coal by CO2 injection. Fuel, 82(10):1219–1229.
Shi, J. and Durucan, S. (2004). Drawdown induced changes in permeability of coalbeds: a new interpretation of the reservoir response to primary recovery. Transport in porous media, 56(1):1–16.
Shi, J.-Q., Pan, Z., and Durucan, S. (2014). Analytical models for coal permeability changes during coalbed methane recovery: Model comparison and performance evaluation. International Journal of Coal Geology, 136:17–24.
Somerton, W. H., Soylemezoglu, I., and Dudley, R. (1975). Effect of stress on permeability of coal. In International journal of rock mechanics and mining sciences & geomechanics abstracts, volume 12, pages 129–145. Elsevier.
Warren, J., Root, P. J., et al. (1963). The behavior of naturally fractured reservoirs. Society of Petroleum Engineers Journal, 3(03):245–255.
White, C. M., Smith, D. H., Jones, K. L., Goodman, A. L., Jikich, S. A., LaCount, R. B., DuBose, S. B., Ozdemir, E., Morsi, B. I., and Schroeder, K. T. (2005). Sequestration of carbon dioxide in coal with enhanced coalbed methane recovery a review. Energy & Fuels, 19(3):659–724.
Witherspoon, P. A., Wang, J., Iwai, K., and Gale, J. (1980). Validity of cubic law for fluid flow in a deformable rock fracture. Water resources research, 16(6):1016–1024.
Wu, K., Li, X., Wang, C., Yu, W., and Chen, Z. (2015). Model for surface diffusion of adsorbed gas in nanopores of shale gas reservoirs. Industrial & Engineering Chemistry Research, 54(12):3225–3236.
Yuster, S. et al. (1951). Theoretical considerations of multiphase flow in idealized capillary systems. In Proceedings of the 3rd World Petroleum Congress, Section II, The Hague, volume 2, pages 437–445.
Zienkiewicz, O. C. and Taylor, R. L. (2000). The finite element method: solid mechanics, volume 2. Butterworth-heinemann.
Zimmerman, R. W., Somerton, W. H., and King, M. S. (1986). Compressibility of porous rocks. Journal of Geophysical Research: Solid Earth, 91(B12):12765–12777.

Name	Provider / Domaine	Expiration	Description
JSESSIONID	Oracle Corporation www.uliege.be	Session	General purpose platform session cookie, used by sites written in JSP. Usually used to maintain an anonymous user session by the server.
CookieScriptConsent	CookieScript .uliege.be	1 year	This cookie is used by Cookie-Script.com service to remember visitor cookie consent preferences. It is necessary for Cookie-Script.com cookie banner to work properly.

Name	Provider / Domaine	Expiration	Description
_pk_id	InnoCraft Ltd .uliege.be	1 year	Used to store a few details about the user such as the unique visitor ID
_pk_ses	InnoCraft Ltd .uliege.be	30 minutes	Short lived cookies used to temporarily store data for the visit
_pk_ref	InnoCraft Ltd .uliege.be	6 months	Used to store the attribution information, the referrer initially used to visit the website