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ANALYTICAL SOLUTIONS OF FRACTAL-HYDRO-THERMAL MODEL FOR TWO-PHASE FLOW IN THERMAL STIMULATION ENHANCED COALBED METHANE RECOVERY

ABSTRACT
Thermal stimulation is a useful supplementary mining technique for the enhancement of coalbed methane recovery. This technique couples the temperature change with gas-water two-phase flow in the mining process. Many integer dimension hydro-thermal models have been proposed but cannot well describe this coupling because two-phase flow and heat conduction are usually non-linear, tortuous and fractal. In this study, a fractal-hydro-thermal coupling model is proposed to describe the coupling between heat conduction and two-phase flow behaviors in terms of fractional time and space derivatives. This model is analytically solved through the fractal travelling-wave method for pore pressure and production rate of gas and water. The analytical solutions are compared with the in-situ coalbed methane production rate. Results show that our proposed fractal-hydro-thermal model can describe both heat and mass transfers in thermal stimulation enhanced coalbed methane recovery.
KEYWORDS
PAPER SUBMITTED: 2018-06-20
PAPER REVISED: 2018-09-10
PAPER ACCEPTED: 2018-11-15
PUBLISHED ONLINE: 2019-04-14
DOI REFERENCE: https://doi.org/10.2298/TSCI180620132S
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2019, VOLUME 23, ISSUE Issue 3, PAGES [1345 - 1353]
REFERENCES
  1. Wang, H., et al., Enhance hydraulic fractured coalbed methane recovery by thermal stimulation, Society of Petroleum Engineers, SPE175927 (2015).
  2. Salmachi, A., Haghighi, M., Feasibility study of thermally enhanced gas recovery of coal seam gas reservoirs using geothermal resources, Energy Fuels, 26 (2012), pp. 5048-5059.
  3. Zhou, F., et al., Injecting pure N2 and CO2 to coal for enhanced coalbed methane: experimental observations and numerical simulation, International Journal of Coal Geology, 116 (2013), pp. 53-62.
  4. Qu, H., et al., Complex evolution of coal permeability during CO2 injection under variable temperatures, International Journal of Greenhouse Gas Control, 9 (2012), pp. 281-293.
  5. Lewis, R.W., et al., Finite element modelling of two-phase heat and fluid Flow in deforming porous media, Transport in Porous Media, 4 (1989), 4, pp. 319-334.
  6. Wang, J.G., Peng, Y., Numerical modeling for the combined effects of two-phase flow, Deformation, gas diffusion and CO2 sorption on caprock sealing efficiency, Journal of Geochemical Exploration, 144 (2014), pp. 154-167.
  7. Wang, J.G., Wang, H.M., Sealing efficiency analysis for shallow-layer caprocks in CO2 geological storage, Environmental Earth Sciences, 77 (2018), 738.
  8. Teng, T., et al., A thermally sensitive permeability model for coal-gas interactions including thermal fracturing and volatilization, Journal of Natural Gas Science and Engineering, 32(2016), pp. 319-333.
  9. Shang, X.J., et al., Fractal analysis for heat extraction in geothermal system, Thermal Science, 21(2017), Suppl. 1, pp. S25-S31.
  10. Teng, T., et al., Complex thermal coal gas interactions in heat injection enhanced CBM recovery, Journal of Natural Gas Science and Engineering, 34 (2017), pp.1174-1190.
  11. Li, S., et al., A fully coupled thermal-hydraulic-mechanical model with two-phase flow for coalbed methane extraction, Journal of Natural Gas Science and Engineering, 33 (2016), pp. 324-336.
  12. Kang, J. H., et al., Numerical modeling and experimental validation of anomalous time and space subdiffusion for gas transport in porous coal matrix, International Journal of Heat and Mass Transfer, 100 (2016), pp. 747-757.
  13. Yang, X. J., Baleanu, D., Local fractional integral transforms and their applications, Academic Press, New York, USA, 2015.
  14. Yang, X. J., et al., Systems of Navier-Stokes equations on cantor sets, Mathematical Problems in Engineering, 2013, Article ID 769724, pp.1-8.
  15. Liu, H. Y., et al., Fractional calculus for nanoscale flow and heat transfer, International Journal of Numerical Methods for Heat & Fluid Flow, 24 (2014), 6, pp. 1227-1250.
  16. Cao, W., et al., Analysis on coalbed methane with heat injection based on COMSOL Multiphysics, Chinese Journal of Underground Space and Engineering, 10(2014), 5, pp. 1139-1145. (in Chinese)
  17. Xue, Y.C., et al., Mathematical model study on gas and water two-phase of early-time flowback in shale gas wells, Science Technology and Engineering, 17(2017), 24, pp. 213-217.
  18. Mora, C.A., Wattenbarger, R.A., Comparison of computation methods for CBM performance, Journal of Canadian Petroleum Technology, 48 (2009), pp. 42-48.

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence