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Quantification of Gas Transport Behavior During Coalbed Methane Extraction in A Coal Seam Considering a Dual-Porosity/Single-Permeability Model

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Abstract

Due to the inherent deposition environment and extraction challenges in a coal seam, quantification of its gas transport behavior serves as the prerequisite to predict and evaluate accurately dynamic coalbed methane (CBM) recovery. In this work, a dual-porosity/single-permeability (DPSP) model is proposed for evaluating the gaseous methane flow performance by considering both the free gas density gradient and pressure gradient. More specifically, methane extraction dynamics was monitored via on-site boreholes with different spacings, and the two key gas flow parameters (i.e., diffusion coefficient and permeability coefficient) were determined and validated by minimizing the deviations between the field measurements and the simulated production profiles. Sensitivity analysis was conducted to examine the effect of both gas flow rate in a borehole and gas mass transfer flux from coal matrix to fractures on the production performance. The gas flow rate was found to be very sensitive to the permeability coefficient at the early extraction stage and then dominated mainly by the diffusion coefficient during the later extraction stage. The gas mass transfer flux from the matrix subsystem to the fracture subsystem exhibited distinct peak features due to the hysteresis of gas desorption in coal matrix. To extract methane in a coal seam, gas pressure in the matrix subsystem decreases much less than that in the fracture subsystem. Compared with the traditional single-porosity/single-permeability model, the newly proposed DPSP model allowed us to correct the overestimated CBM production and identify the underlying gas flow mechanisms. By introducing a critical extraction radius (CER) during a CBM extraction process, a theoretical equation associated with the CER, original methane content in a coal seam and methane extraction time was eventually formulated so that the CER and borehole spacing in some coal seam areas with different methane contents can be determined in a convenient and accurate manner.

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References

  • Aydin, G. (2015). Regression models for forecasting global oil production. Petroleum Science and Technology, 33(21–22), 1822–1828.

    Article  Google Scholar 

  • Azadeh, A., & Tarverdian, S. (2007). Integration of genetic algorithm, computer simulation and design of experiments for forecasting electrical energy consumption. Energy Policy, 35(10), 5229–5241.

    Article  Google Scholar 

  • Bumb, A., & Mckee, C. (1988). Gas-well testing in the presence of desorption for coalbed methane and Devonian shale. SPE Formation Evaluation, 3(1), 179–185.

    Article  Google Scholar 

  • Busch, A., & Gensterblum, Y. (2011). CBM and CO2-ECBM related sorption processes in coal: A review. International Journal of Coal Geology, 87(2), 49–71.

    Article  Google Scholar 

  • Chen, Y., Chu, T., Chen, X., & Chen, P. (2020). Coupling of stress and gas pressure in dual porosity medium during coal seam mining. Powder Technology, 367, 390–398.

    Article  Google Scholar 

  • Ertekin, T., King, G. R., & Schwerer, F. C. (1986). Dynamic gas slippage: A unique dual-mechanism approach to the flow of gas in tight formations. SPE Formation Evaluation, 1(1), 43–52.

    Article  Google Scholar 

  • GB41022-2021 SA of C (2021). Basic index of coal mine gas drainage and exploitation.

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

    Article  Google Scholar 

  • Goraya, N. S., Rajpoot, N., & Marriyappan Sivagnanam, B. (2019). Coal bed methane enhancement techniques. A review. Chemistry Select, 4(12), 3585–3601.

    Google Scholar 

  • Guo, J., Nie, R., & Jia, Y. (2014). Unsteady-state diffusion modeling of gas in coal matrix for horizontal well production. AAPG Bulletin, 98(9), 1669–1697.

    Article  Google Scholar 

  • Hosking, L. J., Thomas, H. R., & Sedighi, M. (2018). A dual porosity model of high-pressure gas flow for geoenergy applications. Canadian Geotechnical Journal, 55(6), 839–851.

    Article  Google Scholar 

  • Kong, X., Wang, E., Liu, X., et al. (2016). Coupled analysis about multi-factors to the effective influence radius of hydraulic flushing: Application of response surface methodology. Journal of Natural Gas Science and Engineering, 32, 538–548.

    Article  Google Scholar 

  • Lai, F., Li, Z., Liu, X., et al. (2014). Dynamic model of coal-bed methane well under pseudo-steady diffusion and its application. Journal of China Coal Society, 39(9), 1820–1825.

    Google Scholar 

  • Liu, J., Qin, Y., Zhang, S., & He, C. (2019). Numerical solution for borehole methane flow in coal seam based on a new dual-porosity model. Journal of Natural Gas Science and Engineering, 68, 102916.

    Article  Google Scholar 

  • Liu, P., Qin, Y., Liu, S., & Hao, Y. (2018a). Numerical modeling of gas flow in coal using a modified dual-porosity model: A multi-mechanistic approach and finite difference method. Rock Mechanics and Rock Engineering, 51, 2863–2880.

    Article  Google Scholar 

  • Liu, T., & Lin, B. (2019). Time-dependent dynamic diffusion processes in coal: Model development and analysis. International Journal of Heat and Mass Transfer, 134, 1–9.

    Article  Google Scholar 

  • Liu, T., Lin, B., Fu, X., et al. (2021a). Modeling coupled gas flow and geomechanics process in stimulated coal seam by hydraulic flushing. International Journal of Rock Mechanics and Mining Sciences, 142, 104769.

    Article  Google Scholar 

  • Liu, W., He, C., Qin, Y., & Liu, P. (2018b). Inversion of gas permeability coefficient of coal particle based on Darcy’s permeation model. Journal of Natural Gas Science and Engineering, 50, 240–249.

    Article  Google Scholar 

  • Liu, W., Qin, Y., Zhao, W., et al. (2020). Modeling of gas transport driven by density gradients of free gas within coal matrix: Perspective of isothermal adsorption. Energy & Fuels, 34(11), 13728–13739.

    Article  Google Scholar 

  • Liu, W., Xu, H., Qin, Y., et al. (2021b). Theoretical model and numerical solution of gas desorption and flow mechanism in coal matrix based on free gas density gradient. Journal of Natural Gas Science and Engineering, 90, 103932.

    Article  Google Scholar 

  • Liu, W., Xu, H., Wu, D., et al. (2021c). Gases migration behavior of adsorption processes in coal particles: Density gradient model and its experimental validation. Process Safety and Environment Protection, 152, 264–277.

    Article  Google Scholar 

  • Liu, Z., Cheng, Y., Dong, J., et al. (2018c). Master role conversion between diffusion and seepage on coalbed methane production: Implications for adjusting suction pressure on extraction borehole. Fuel, 223, 373–384.

    Article  Google Scholar 

  • Liu, Z., Cheng, Y., Liu, Q., et al. (2017). Numerical assessment of CMM drainage in the remote unloaded coal body: Insights of geostress-relief gas migration and coal permeability. Journal of Natural Gas Science and Engineering, 45, 487–501.

    Article  Google Scholar 

  • Manik, J., Ertekin, T., & Kohler, T. E. (2002). Development and validation of a compositional coalbed simulator. Journal of Canadian Petroleum Technology, 41(4), 39–45.

    Article  Google Scholar 

  • Qin, Y., Hao, Y., Wang, Y., et al. (2013). Numerical solution of gas emission in coal particle based on two kind of mathematical model. Journal of China University of Mining and Technology, 42(6), 923–928.

    Google Scholar 

  • Qin, Y., Liu, J., Gao, Y., & Duan, W. (2021). Error analysis of borehole gas flow model and its application. Journal of Mining and Safety Engineering, 38(6), 1259–1268.

    Google Scholar 

  • Qin, Y., Liu, P., Hao, Y., et al. (2014). Finite difference model of borehole gas emission and numerical simulation. Journal of Liaoning Technical University (Natural Science), 33(10), 1297–1301.

    Google Scholar 

  • Qin, Y., Liu, P., & Hao, Y. (2017a). Mathematical model and dimensionless numerical simulation of methane flow in a dual-porosity and dual-permeability coal seam. Chinese Journal of Rock Mechanics and Engineering, 36(1), 43–52.

    Google Scholar 

  • Qin, Y., Liu, P., Liu, W., et al. (2016). Modeling and numerical simulation of borehole methane flow in a dual-porosity, dual-permeability coal seam. Journal of China University of Mining and Technology, 45(6), 1111–1117.

    Google Scholar 

  • Qin, Y., Wang, J., Zheng, Y., et al. (2017b). Coal particle gas adsorption mathematical model and numerical solution under variable pressures. Journal of China Coal Society, 42(4), 923–928.

    Google Scholar 

  • Qin, Y., Xu, H., Liu, W., et al. (2020). Time- and pressure-independent gas transport behavior in a coal matrix: Model development and improvement. Energy & Fuels, 34(8), 9355–9370.

    Article  Google Scholar 

  • Rudakov, D., & Sobolev, V. (2019). A mathematical model of gas flow during coal outburst initiation. International Journal of Mining Science and Technology, 29(5), 791–796.

    Article  Google Scholar 

  • Shi, J. Q., & Durucan, S. (2005). Gas storage and flow in coalbed reservoirs: Implementation of a bidisperse pore model for gas diffusion in a coal matrix. SPE Reservoir Evaluation and Engineering, 8(2), 169–175.

    Article  Google Scholar 

  • Shi, R., Liu, J., Wang, X., et al. (2020). Experimental observations of heterogeneous strains inside a dual porosity sample under the influence of gas-sorption: A case study of fractured coal. International Journal of Coal Geology, 223, 103450.

    Article  Google Scholar 

  • Tan, Y., Pan, Z., Liu, J., et al. (2018). Experimental study of impact of anisotropy and heterogeneity on gas flow in coal. Part I: Diffusion and adsorption. Fuel, 232, 444–453.

    Article  Google Scholar 

  • Thararoop, P., Karpyn, Z. T., & Ertekin, T. (2012). Development of a multi-mechanistic, dual-porosity, dual-permeability, numerical flow model for coalbed methane reservoirs. Journal of Natural Gas Science and Engineering, 8, 121–131.

    Article  Google Scholar 

  • Thorstenson, D. C., & Pollock, D. W. (1989). Gas transport in unsaturated zones: Multicomponent systems and the adequacy of Fick’s laws. Water Resources Research, 25(3), 477–507.

    Article  Google Scholar 

  • Wang, G., Ren, T., Qi, Q., et al. (2017). Prediction of coalbed Methane (CBM) Production considering bidisperse diffusion: Model development, experimental test, and numerical simulation. Energy & Fuels, 31(6), 5785–5797.

    Article  Google Scholar 

  • Wang, G., Ren, T., Wang, K., & Zhou, A. (2014a). Improved apparent permeability models of gas flow in coal with Klinkenberg effect. Fuel, 128, 53–61.

    Article  Google Scholar 

  • Wang, K., Wang, G., Ren, T., & Cheng, Y. (2014b). Methane and CO2 sorption hysteresis on coal: A critical review. International Journal of Coal Geology, 132, 60–80.

    Article  Google Scholar 

  • Wang, K., Wang, L., Ju, Y., et al. (2022). Numerical study on the mechanism of air leakage in drainage boreholes: A fully coupled gas-air flow model considering elastic-plastic deformation of coal and its validation. Process Safety and Environment Protection, 158, 134–145.

    Article  Google Scholar 

  • Wei, X., Wang, G. X., Massarotto, P., et al. (2007). A review on recent advances in the numerical simulation for coalbed-methane-recovery process. SPE Reservoir Evaluation and Engineering, 10(6), 657–666.

    Article  Google Scholar 

  • White, C. M., Smith, D. H., Jones, K. L., et al. (2005). Sequestration of carbon dioxide in coal with enhanced coalbed methane recovery—A review. Energy & Fuels, 19(3), 659–724.

    Article  Google Scholar 

  • Xu, H., Qin, Y., Wu, F., et al. (2021). Mathematical model and numerical solution of constant pressure adsorption of gas in coal particles. Journal of Mining Science and Technology, 6(4), 445–452.

    Google Scholar 

  • Xu, H., Qin, Y., Wu, F., et al. (2022a). Numerical modeling of gas extraction from coal seam combined with a dual-porosity model: Finite difference solution and multi-factor analysis. Fuel, 313, 122687.

    Article  Google Scholar 

  • Xu, H., Qin, Y., Yang, D., et al. (2022b). Modeling of diffusion kinetics during gas adsorption in a coal seam with a dimensionless inversion method. Fuel, 326, 125068.

    Article  Google Scholar 

  • Xu, H., Wang, G., Guo, Y., et al. (2020). Theoretical, numerical, and experimental analysis of critical extraction radius of coalbed methane boreholes by a gas seepage model based on defined criteria. Energy Science & Engineering, 8(3), 880–897.

    Article  Google Scholar 

  • Yang, L. (2014). A mixed element method for the desorption-diffusion-seepage model of gas flow in deformable coalbed methane reservoirs. Mathematical Problems in Engineering, 2014, 735931.

    Article  Google Scholar 

  • Yue, G., Wang, Z., Xie, C., et al. (2017). Time-dependent methane diffusion behavior in coal: Measurement and modeling. Transport in Porous Media, 116(1), 319–333.

    Article  Google Scholar 

  • Zang, J., & Wang, K. (2016). A numerical model for simulating single-phase gas flow in anisotropic coal. Journal of Natural Gas Science and Engineering, 28, 153–172.

    Article  Google Scholar 

  • Zhang, H., Cheng, Y., Liu, Q., et al. (2017). A novel in-seam borehole hydraulic flushing gas extraction technology in the heading face: Enhanced permeability mechanism, gas flow characteristics, and application. Journal of Natural Gas Science and Engineering, 46, 498–514.

    Article  Google Scholar 

  • Zhang, Q., Hou, B., Lin, B., et al. (2021). Integration of discrete fracture reconstruction and dual porosity/dual permeability models for gas production analysis in a deformable fractured shale reservoir. Journal of Natural Gas Science and Engineering, 93, 104028.

    Article  Google Scholar 

  • Zhao, D., Liu, J., & Pan, J. (2018). Study on gas seepage from coal seams in the distance between boreholes for gas extraction. Journal of Loss Prevention in the Process Industries, 54(4), 266–272.

    Article  Google Scholar 

  • Zhao, W., Cheng, Y., Pan, Z., et al. (2019). Gas diffusion in coal particles: A review of mathematical models and their applications. Fuel, 252, 77–100.

    Article  Google Scholar 

  • Zhao, W., Wang, K., Ju, Y., et al. (2023). Quantification of the asynchronous gas diffusivity in macro-/micropores using a Nelder-Mead simplex algorithm and its application on predicting desorption-based indexes. Fuel, 332, 126149.

    Article  Google Scholar 

  • Zhao, W., Wang, K., Liu, S., & Cheng, Y. (2020). Gas transport through coal particles: Matrix-flux controlled or fracture-flux controlled? Journal of Natural Gas Science and Engineering, 76, 103216.

    Article  Google Scholar 

  • Zhou, F., Xia, T., Wang, X., et al. (2016). Recent developments in coal mine methane extraction and utilization in China: A review. Journal of Natural Gas Science and Engineering, 31, 437–458.

    Article  Google Scholar 

  • Zhou, S. (1990). Mechanism of gas flow in coal seams. Journal of China Coal Society, 15(1), 15–24.

    Google Scholar 

  • Zhou, Y., Li, H., Huang, J., et al. (2021). Influence of coal deformation on the Knudsen number of gas flow in coal seams. Energy, 233, 121161.

    Article  Google Scholar 

  • Zhou, Y., Zhang, R., Wang, J., et al. (2020). Desorption hysteresis of CO2 and CH4 in different coals with cyclic desorption experiments. Journal of CO2 Utilization, 40, 101200.

    Article  Google Scholar 

  • Zou, M., Wei, C., Yu, H., & Song, L. (2015). Modeling and application of coalbed methane recovery performance based on a triple porosity/dual permeability model. Journal of Natural Gas Science and Engineering, 22, 679–688.

    Article  Google Scholar 

  • Zou, M., Wei, C., Zhang, M., et al. (2013). Classifying coal pores and estimating reservoir parameters by nuclear magnetic resonance and mercury intrusion porosimetry. Energy & Fuels, 27(7), 3699–3708.

    Article  Google Scholar 

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Acknowledgments

This work was supported by the National Natural Science Foundation of China (Grant No.: 51874315; 52074303) and the Fundamental Research Funds for the Central Universities (Grant No.: 2021YJSAQ24). The first author gratefully acknowledges the financial support from the China Scholarship Council (No.: CSC 202106430046). Also, the authors acknowledge a Discovery Grant and a Collaborative Research and Development (CRD) Grant from the Natural Sciences and Engineering Research Council (NSERC) of Canada and a Mitacs Industry-Faculty Collaboration for Innovation (MIFCI) Grant to D. Yang.

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Xu, H., Qin, Y., Yang, D. et al. Quantification of Gas Transport Behavior During Coalbed Methane Extraction in A Coal Seam Considering a Dual-Porosity/Single-Permeability Model. Nat Resour Res 33, 321–345 (2024). https://doi.org/10.1007/s11053-023-10291-4

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