Skip to main content
Log in

Impact of dynamic swelling increment factor on coal permeability

  • Review Paper
  • Published:
Arabian Journal of Geosciences Aims and scope Submit manuscript

Abstract

Although the permeability model has been studied for many years, the effect of adsorption strain has not been well explained. In this study, a new permeability model including a swelling increment factor (SIF) is proposed. The SIF expressed by the physical parameters and pressure affects the evolution of permeability. The permeability model consists of three parts: the matrix strain of effective stress, the fracture strain of effective stress, and the adsorption strain of coal. It is found that gas adsorption makes a big contribution to the evolution of permeability. Three different forms of the permeability model are derived such as constant volume condition, constant confining stress, and uniaxial strain condition. The permeability model considered the SIF fits the experiment and field data well. The permeability model can be widely used in different conditions to explain the mechanism of permeability in matrix-fracture and the adsorption strain relationship among fracture, matrix, and coal bulk.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13

Similar content being viewed by others

References

  • Bai M, Elsworth D, Roegiers JC (1993) Multiporosity/multipermeability approach to the simulation of naturally fractured reservoirs. Water Resour Res 29:1621–1634

    Article  Google Scholar 

  • Bai M, Elsworth D, Inyang HI, Roegiers JC (1997) Modeling contaminant migration with linear sorption in strongly heterogeneous media. J Environ Eng 123:1116–1125

    Article  Google Scholar 

  • Barenblatt GI, Zheltov IP, Kochina N (1960) Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks. Prikl Mat Mekh 24:852–864

    Google Scholar 

  • Bear J,  Corapcioglu MY (1981) A mathematical model for consolidation in a thermoelastic aquifer due to hot water injection or pumping. Water Resour Res 17(3)

  • Chen Z, Liu J, Pan Z, Connell LD, Elsworth D (2012) Influence of the effective stress coefficient and sorption-induced strain on the evolution of coal permeability: model development and analysis. Int J Greenhouse Gas Control 8:101–110

    Article  Google Scholar 

  • Chen J et al (1999) Parameter estimation of two-fluid capillary pressure–saturation and permeability functions[J]. Advances in Water Resources

  • Connell L,  Pan Z,  Lu M et al (2010) Coal permeability and its behaviour with gas desorption, pressure and stress. Society of Petroleum Engineers.

  • Connell LD (2009) Coupled flow and geomechanical processes during gas production from coal seams. Int J Coal Geol 79:18–28

    Article  Google Scholar 

  • Connell LD, Lu M, Pan Z (2010) An analytical coal permeability model for tri-axial strain and stress conditions. Int J Coal Geol 84:103–114

    Article  Google Scholar 

  • Cui X, Bustin RM (2005) Volumetric strain associated with methane desorption and its impact on coalbed gas production from deep coal seams. AAPG Bull 89:1181–1202

    Article  Google Scholar 

  • Cui G, Liu J, Wei M, Shi R, Elsworth D (2018) Why shale permeability changes under variable effective stresses: new insights. Fuel 213:55–71

    Article  Google Scholar 

  • Cui G,  Feng XT,  Pan Z et al (2019) Impact of shale matrix mechanical interactions on gas transport during production[J]. J Petrol Sci Eng 184:106524

  • Detoumay E,  Cheng AHD (1993) Fundamentals of poroelasticity[J]. Analysis & Design Methods 2(1):113–171

  • Gilman A, Beckie R (2000) Flow of coal-bed methane to a gallery. Transp Porous Media 41:1–16

    Article  Google Scholar 

  • Guo P, Cheng Y, Jin K, Li W, Tu Q, Liu H (2014) Impact of effective stress and matrix deformation on the coal fracture permeability. Transp Porous Media 103:99–115

    Article  Google Scholar 

  • Izadi G, Wang S, Elsworth D, Liu J, Wu Y, Pone D (2011) Permeability evolution of fluid-infiltrated coal containing discrete fractures. Int J Coal Geol 85:202–211

    Article  Google Scholar 

  • Jaeger JC, Cook NG, Zimmerman RW (2007) Fundamentals of rock mechanics, 4th edn. Blackwell Publishing, Victoria, Australia

    Google Scholar 

  • Jiang C, Zhao Z, Zhang X, Liu J, Elsworth D, Cui G (2020) Controlling effects of differential swelling index on evolution of coal permeability. J Rock Mech Geotech Eng 12:461–472

    Article  Google Scholar 

  • Lin W, Kovscek AR (2014) Gas sorption and the consequent volumetric and permeability change of coal I: Experimental. Transp Porous Media 105:371–389

    Article  Google Scholar 

  • Liu HH,  Rutqvist J (2010) A new coal-permeability model: internal swelling stress and fracture–matrix interaction[J]. Trans Porous Media 82(1):157–171

  • Liu J et al (1999) Linking stress-dependent effective porosity and hydraulic conductivity fields to RMR[J]. International Journal of Rock Mechanics & Mining Sciences

  • Liu J, Chen Z, Elsworth D, Miao X, Mao X (2010) Linking gas-sorption induced changes in coal permeability to directional strains through a modulus reduction ratio. Int J Coal Geol 83:21–30

    Article  Google Scholar 

  • Liu J, Chen Z, Elsworth D, Qu H, Chen D (2011a) Interactions of multiple processes during CBM extraction: a critical review. Int J Coal Geol 87:175–189

    Article  Google Scholar 

  • Liu J, Wang J, Chen Z, Wang S, Elsworth D, Jiang Y (2011b) Impact of transition from local swelling to macro swelling on the evolution of coal permeability. Int J Coal Geol 88:31–40

    Article  Google Scholar 

  • Liu Q, Cheng Y, Zhou H, Guo P, An F, Chen H (2014) A mathematical model of coupled gas flow and coal deformation with gas diffusion and Klinkenberg Effects. Rock Mech Rock Eng 48:1163–1180

    Article  Google Scholar 

  • Liu T, Lin B, Yang W (2017) Impact of matrix–fracture interactions on coal permeability: model development and analysis. Fuel 207:522–532

    Article  Google Scholar 

  • Liu T, Liu S, Lin B, Fu X, Zhu C, Yang W, Zhao Y (2020a) Stress response during in-situ gas depletion and its impact on permeability and stability of CBM reservoir, Fuel, 266

    Google Scholar 

  • Liu Z, Liu J, Pan P, Elsworth D, Wei M, Shi R (2020b) Evolution and analysis of gas sorption-induced coal fracture strain data. Pet Sci 17:376–392

    Article  Google Scholar 

  • Lu M, Connell LD (2010) Swell of coal matrix induced by gas sorption and its partition to pore-volume and bulk strains – A new critical parameter for coal permeability[J]. Paediatrics & Child Health

  • Lu S, Cheng Y, Li W (2016) Model development and analysis of the evolution of coal permeability under different boundary conditions. J Nat Gas Sci Eng 31:129–138

    Article  Google Scholar 

  • Mitra A, Harpalani S, Liu S (2012a) Laboratory measurement and modeling of coal permeability with continued methane production: Part 1 – Laboratory results Fuel, 94

    Google Scholar 

  • Mitra A, Harpalani S, Liu S (2012b) Laboratory measurement and modeling of coal permeability with continued methane production: Part 1 – Laboratory results. Fuel 94:110–116

    Article  Google Scholar 

  • Nowacki W (1970) Dynamic problems of thermoelasticity. Progress in Aerospace Ences 10:1–63

    Article  Google Scholar 

  • Palmer I (2009) Permeability changes in coal: analytical modeling. Int J Coal Geol 77:119–126

    Article  Google Scholar 

  • Palmer I, Mansoori J (1996) How permeability depends on stress and pore pressure in coalbeds: a new model. SPE Reserv Eval Eng 1:539–544

    Article  Google Scholar 

  • Peng Y, Liu J, Pan Z, Connell LD, Chen Z, Qu H (2017) Impact of coal matrix strains on the evolution of permeability. Fuel 189:270–283

    Article  Google Scholar 

  • Pini R,  Ottiger S,  Burlini L et al (2009) Role of adsorption and swelling on the dynamics of gas injection in coal[J]. J Geophys Res Solid Earth 114(B4)

  • Qu H, Liu J, Pan Z, Connell L (2014) Impact of matrix swelling area propagation on the evolution of coal permeability under coupled multiple processes. J Nat Gas Sci Eng 18:451–466

    Article  Google Scholar 

  • Robertson EP, Christiansen RL (2006) A permeability model for coal and other fractured, sorptive-elastic media. SPE J 13:314–324

    Article  Google Scholar 

  •  Robertson EP (2005) Modeling permeability in coal using sorption-induced strain data[M]

  • Ruipeng Y (2019) Study on the evolution law and application of three fields roadside of deep coal roadway in Shoushan Coal Mine. in: [D]China University of Mining and Technology

  • Seidle JR, Huitt LG (1995) Experimental measurement of coal matrix shrinkage due to gas desorption and implications for cleat permeability increases[C]. International Meeting on Petroleum Engineering. Society of Petroleum Engineers

  • Seidle J, Huitt L (1995) Experimental measurement of coal matrix shrinkage due to gas desorption and implications for cleat permeability increases. International Meeting on Petroleum Engineering, In

    Book  Google Scholar 

  • Shi JQ, Durucan S (2004a) Drawdown induced changes in permeability of coalbeds: a new interpretation of the reservoir response to primary recovery. Transp Porous Media 56:1–16

    Article  Google Scholar 

  • Shi JQ, Durucan S (2004b) Drawdown induced changes in permeability of coalbeds: a new interpretation of the reservoir response to primary recovery. Transp Porous Media 56:1–16

    Article  Google Scholar 

  • Shi JQ, Durucan S (2005) A model for changes in coalbed permeability during primary and enhanced methane recovery. SPE Reserv Eval Eng 8:291–299

    Article  Google Scholar 

  • Shi J-T, Wu J-Y, Sun Z, Xiao Z-H, Liu C, Sepehrnoori K (2020) Methods for simultaneously evaluating reserve and permeability of undersaturated coalbed methane reservoirs using production data during the dewatering stage. Pet Sci 17:1067–1086

    Article  Google Scholar 

  • Wang S, Elsworth D, Liu J (2011) Permeability evolution in fractured coal: the roles of fracture geometry and water-content. Int J Coal Geol 87:13–25

    Article  Google Scholar 

  • Wang S, Elsworth D, Liu J (2012) A mechanistic model for permeability evolution in fractured sorbing media[J]. J Geophys Res Atmos 117(B6):6205

  • Wang K, Zang J, Wang G, Zhou A (2014) Anisotropic permeability evolution of coal with effective stress variation and gas sorption: model development and analysis. Int J Coal Geol 130:53–65

    Article  Google Scholar 

  • Wu Y, Liu J, Elsworth D, Chen Z, Connell L, Pan Z (2010) Dual poroelastic response of a coal seam to CO2 injection. Int J Greenhouse Gas Control 4:668–678

    Article  Google Scholar 

  • Zang J, Wang K, Zhao Y (2015) Evaluation of gas sorption-induced internal swelling in coal. Fuel 143:165–172

    Article  Google Scholar 

  • Zhang H, Liu J, Elsworth D (2008) How sorption-induced matrix deformation affects gas flow in coal seams: a new FE model. Int J Rock Mech Min Sci 45:1226–1236

    Article  Google Scholar 

  • Zhang S, Liu J, Wei M, Elsworth D (2018) Coal permeability maps under the influence of multiple coupled processes. Int J Coal Geol 187:71–82

    Article  Google Scholar 

  • Zhou HW, Zhang L, Wang XY et al. Effects of matrix-fracture interaction and creep deformation on permeability evolution of deep coal[J]. Int J Rock Mech Min Sci 127(2):104236

  • Zhou HW, Rong TL, Wang LJ et al (2020) A new anisotropic coal permeability model under the influence of stress, gas sorption and temperature: Development and verification[J]. Int J Rock Mech Min Sci 132(7):104407

  • Zimmerman RW, Somerton WH, King MS (1986) Compressibility of porous rocks. J Geophys Res Solid Earth 91:12765–12777

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yi Hu.

Ethics declarations

Conflict of interest

The authors declare that they have no competing interests.

Additional information

Responsible Editor: Santanu Banerjee

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Pan, H., Hu, Y., Kang, Y. et al. Impact of dynamic swelling increment factor on coal permeability. Arab J Geosci 14, 1652 (2021). https://doi.org/10.1007/s12517-021-08091-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s12517-021-08091-2

Keywords

Navigation