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Experimental Study on the Pore Structure Fractals and Seepage Characteristics of a Coal Sample Around a Borehole in Coal Seam Water Infusion

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Abstract

Coal seam water infusion is a universal comprehensive mine disaster prevention method practiced worldwide. The result of water infusion is determined by the structure and seepage characteristics of the coal sample around the borehole. In this paper, the structure and seepage characteristics of the coal sample under various stress and pore water pressures are measured via nuclear magnetic resonance (NMR) technology; the influence rule of confining pressure and pore water pressure during the test on the coal sample structure and seepage characteristics is analyzed. Based on fractal geometrical theory, the fractal model of permeability is created. The results show that the coal sample with water infusion has an intertwined internal fracture-pore structure and that the pore radius distribution is diverse. Through theoretical analysis and discussion, we found that there are no large changes in the pore area fractal dimension and the measured pore volume fractal dimension, but the trends of changes in these two fractal dimensions are opposite, because the pore area fractal dimension characterizes the homogeneity of the pore area distribution on the surface of a coal sample, and the measured pore volume fractal dimension characterizes the cumulative volumetric changes in the pores inside a coal sample. The changes in these two fractal dimensions validate that the pore structures inside a coal sample have similar in fractal characteristics and demonstrate that the coal seam water infusion technique will not damage the skeleton of the coal sample. The variation rules of theoretical permeability from the fractal model and the value from the liquid measurement versus confining pressure and pore water pressure are consistent, an increase in the water pressure will result in an increase in the permeability, and an increase in the confining pressure will result in a decrease in the permeability. However, because the seepage channels with a large diameter in the tested coal sample were blocked, there is a relatively large difference between the two permeabilities. Therefore, increasing the connectivity between the seepage channels with a large diameter will improve the effects of water infusion, which is implemented to prevent disasters. Through NMR experiment and theoretical analysis, this study establishes a quantitative relationship between the pore structures inside the coal sample and its permeability during coal seam water infusion process, provides an advanced experimental approach and theoretical analysis method, which will be of great importance in the improvement in the water infusion process implemented in deep working coal seams to prevent disasters and in the determination of the range of application of this process and the evaluation metrics for this process.

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References

  • Adler, P.M.: Transports in fractal porous media. J. Hydrol. 187(1–2), 195–213 (1996)

    Article  Google Scholar 

  • Aguado, M.B.D., Nicieza, C.G.: Control and prevention of gas outbursts in coal mines, Riosa-Olloniego coalfield, Spain. Int. J. Coal Geol. 69(4), 253–266 (2007)

    Article  Google Scholar 

  • Bird, R.B., Stewart, W.E., Lightfoot, E.N.: Transport Phenomena. Wiley, New York (1990)

    Google Scholar 

  • Chang, J., Yortsos, Y.C.: Pressure transient analysis of fractal reservoirs. SPE Form. Eval. 5(01), 31–38 (1990)

    Article  Google Scholar 

  • Chen, S.J., Qu, X., Yin, D.W., Liu, X.Q., Ma, H.F., Wang, H.Y.: Investigation lateral deformation and failure characteristics of strip coal pillar in deep mining. Geomech. Eng. 14(5), 421–428 (2018)

    Google Scholar 

  • Chen, Y.P., Shi, M.H.: Determination of permeability for porous media using fractal theory. J. Tsinghua Univ. 40(12), 94–97 (2000)

    Google Scholar 

  • Chen, Z.X., Huan, G.R.: Numerical experiments with various formulations for two phase flow in petroleum reservoirs. Transp. Porous Media 51(1), 89–102 (2003)

    Article  Google Scholar 

  • Cheng, W.M., Nie, W., Zhou, G., Yu, Y.B., Ma, Y.Y., Xue, J.: Research and practice on fluctuation water injection technology at low permeability coal seam. Saf. Sci. 50(4), 851–856 (2012)

    Article  Google Scholar 

  • Davies, S., Packer, K.J.: Pore size distributions from nuclear magnetic resonance spin-lattice relaxation measurements of fluid-saturated porous solids. I. Theory and simulation. J. Appl. Phys. 67(6), 3163–3170 (1990)

    Article  Google Scholar 

  • Denn, M.M.: Process Fluid Mechanics. Englewood Cliffs, NJ (1980)

    Google Scholar 

  • Dong, X., Sun, J.M., Li, J., Gao, H., Liu, X.F., Wang, J.J.: Experimental research of gas shale electrical properties by NMR and the combination of imbibition and drainage. J. Geophys. Eng. 12(4), 610–619 (2015)

    Article  Google Scholar 

  • Fan, T., Zhou, G., Wang, J.Y.: Preparation and characterization of a Wetting–Agglomeration-based hybrid coal dust suppressant. Process Saf. Environ. Prot. 113, 282–291 (2018)

    Article  Google Scholar 

  • Fang, Q.C., Li, Z.Q., Zhou, K.P.: Study of rational water injection parameters of hydraulic pressing preventing outburst measure based on numerical simulation. Procedia Eng. 26, 1097–1103 (2011)

    Article  Google Scholar 

  • Giesche, H.: Mercury porosimetry: a general (practical) overview. Part. Part. Syst. Charact. 23(1), 9–19 (2006)

    Article  Google Scholar 

  • Hao, N., Wang, Y.L., Mao, L.T., Liu, Q.: The fractal characteristic analysis of coal pore structure based on the mercury intrusion porosimetry. Appl. Mech. Mater. 353, 1191–1195 (2013)

    Article  Google Scholar 

  • He, Y.D., Mao, Z.Q., Xiao, L.Z., Xiao, L.Z., Ren, X.J.: An improved method of using NMR T 2 distribution to evaluate pore size distribution. Diqiu Wuli Xuebao (Chin. J. Geophys.) 48(2), 373–378 (2005)

    Google Scholar 

  • Huoduote, B.B.: Coal and Gas Outburst. Translated by Song S.Z., Wang Y.A. China Industry Press, Beijing (1966)

  • Jeong, N.G., Choi, D.H., Lin, C.L.: Prediction of Darcy-Forchheimer drag for micro-porous structures of complex geometry using the lattice Boltzmann method. J. Micromech. Microeng. 16(10), 2240–2250 (2006)

    Article  Google Scholar 

  • Jin, Y., Dong, J.B., Zhang, X.Y., Li, X., Wu, Y.: Scale and size effects on fluid flow through self-affine rough fractures. Int. J. Heat Mass Transf. 105, 443–451 (2017a)

    Article  Google Scholar 

  • Jin, Y., Li, X., Zhao, M.Y., Liu, X.H., Li, H.: A mathematical model of fluid flow in tight porous media based on fractal assumptions. Int. J. Heat Mass Transf. 108, 1078–1088 (2017b)

    Article  Google Scholar 

  • Jin, Y., Song, H., Hu, B., Zhu, Y., Zheng, J.: Lattice Boltzmann simulation of fluid flow through coal reservoir’s fractal pore structure. Sci. China Earth Sci. 56(9), 1519–1530 (2013)

    Article  Google Scholar 

  • Jin, Y., Wu, Y., Li, H., Zhao, M.Y., Pan, J.N.: Definition of fractal topography to essential understanding of scale-in variance. Sci Rep. 7, 46672 (2017c)

    Article  Google Scholar 

  • Karimpouli, S., Tahmasebi, P.: A hierarchical sampling for capturing permeability trend in rock physics. Transp. Porous Media 116(3), 1–16 (2016)

    Google Scholar 

  • Katz, A.J., Thompson, A.H.: Fractal sandstone pores: implications for conductivity and pore formation. Phys. Rev. Lett. 54(12), 1325–1328 (1985)

    Article  Google Scholar 

  • Krohn, C.E., Thompson, A.H.: Fractal sandstone pore: automated measurements using scanning -electron -mi croscope images. Phys. Rev. B 33(9), 6366 (1986)

    Article  Google Scholar 

  • Li, S., Luo, M.K., Fan, C.J., Bi, H.J., Ren, Y.P.: Quantitative characterization of the effect of acidification in coals by NMR and low-temperature nitrogen adsorption. J. China Coal Soc. 42(7), 1748–1756 (2017)

    Google Scholar 

  • Li, Y.H., Lu, G.Q., Rudolph, V.: Compressibility and fractal dimension of fine coal particles in relation to pore structure characterisation using mercury porosimetry. Part. Part. Syst. Charact. 16(1), 25–31 (1999)

    Article  Google Scholar 

  • Liao, J.Y.H., Selomulya, C., G, G., Bickert, C., Amal, R.: On different approaches to estimate the mass fractal dimension of coal aggregates. Part. Part. Syst. Charact. 22(5), 299–309 (2005)

    Article  Google Scholar 

  • Liu, R.C., Yu, L.Y., Jiang, Y.J., Wang, Y.C., Li, B.: Recent developments on relationships between the equivalent permeability and fractal dimension of two-dimensional rock fracture networks. J. Nat. Gas Sci. Eng. 45, 771–785 (2017)

    Article  Google Scholar 

  • Nakagawa, T., Nishikawa, K., Komaki, I.: Change of surface fractal dimension for Witbank coal with heat-treatment studied by angle X-ray scattering. Carbon 37(3), 520–522 (1999)

    Article  Google Scholar 

  • Ni, G.H., Li, Z., Xie, H.C.: The mechanism and relief method of the coal seam water blocking effect (WBE) based on the surfactants. Powder Technol. 323, 60–68 (2018)

    Article  Google Scholar 

  • Perrier, E., Bird, N., Rieu, M.: Generalizing the fractal model of soil structure: the pore–solid fractal approach. Geoderma 88(3–4), 137–164 (1999)

    Article  Google Scholar 

  • Shen, X.W., Li, L.J., Cui, W.Z., Feng, Y.: Improvement of fractal model for porosity and permeability in porous materials. Int. J. Heat Mass Transf. 121, 1307–1315 (2018)

    Article  Google Scholar 

  • Steenkamer, D.A., McKnight, S.H., Wilkins, D.J., Karbhari, V.M.: Experimental characterization of permeability and fibre wetting for liquid moulding. J. Mater. Sci. 30(12), 3207–3215 (1995)

    Article  Google Scholar 

  • Thompson, A.H., Katz, A.J., Krohn, C.E.: The Mi crogeometry and transport properties of sedimentary rock. Adv. Phys. 36(5), 625–694 (1987)

    Article  Google Scholar 

  • Wang, B.Y., Jin, Y.I., Chen, Q., Zheng, J.L., Zhu, Y.B., Zhang, X.B.: Derivation of permeability–pore relationship for fractal porous reservoirs using series–parallel flow resistance model and lattice Boltzmann method. Fractals-Complex Geom. Patterns Scaling Nat. Soc. 22(03), 1440005 (2014)

    Google Scholar 

  • Wang, C.Y., Hao, S.X., Sun, W.J., Chu, W.: Fractal dimension of coal particles and their CH4 adsorption. Int. J. Min. Sci. Technol. 22(6), 855–858 (2012)

    Article  Google Scholar 

  • Wang, G., Wu, M.M., Wang, R., Xu, H., Song, X.: Height of the mining-induced fractured zone above a coal face. Eng. Geol. 216, 140–152 (2017)

    Article  Google Scholar 

  • Wang, Q.S., Jin, Z.L., Sun, J.H.: A research on coal seam water infusion course and coal body wetness mechanism. J. Saf. Environ. 4(1), 70–73 (2004)

    Google Scholar 

  • Wang, W.D., Su, Y.L., Yuan, B., Wang, K., Cao, X.P.: Numerical simulation of fluid flow through fractal-based discrete fractured network. Energies 11(2), 286 (2018)

    Article  Google Scholar 

  • Xiao, L.Z.: NMR Imaging Logging Principles and Applications. Science Press, Beijing (1998). (in Chinese)

    Google Scholar 

  • Xu, P., Yu, B.Y.: Developing a new form of permeability and Kozeny–Carman constant for homogeneous porous media by means of fractal geometry. Adv. Water Resour. 31(1), 74–81 (2008)

    Article  Google Scholar 

  • Ye, Q., Jia, Z.Z., Zhen, C.S.: Study on hydraulic-controlled blasting technology for pressure relief and permeability improvement in a deep hole. J. Petrol. Sci. Eng. 159, 433–442 (2017a)

    Article  Google Scholar 

  • Ye, Q., Wang, G.G.X., Jia, Z.Z., Zheng, C.S.: Experimental study on the influence of wall heat effect on gas explosion and its propagation. Appl. Therm. Eng. 118, 392–397 (2017b)

    Article  Google Scholar 

  • Yin, D.W., Chen, S.J., Liu, X.Q., Ma, H.F.: Effect of joint angle in coal on failure mechanical behavior of roof rock-coal combined body. Q. J. Eng. Geol. Hydrogeol. 51, 202–209 (2018a)

    Article  Google Scholar 

  • Yin, D.W., Chen, S.J., Liu, X.Q., Ma, H.F.: Simulation study on strength and failure characteristics for granite with a set of cross-joints of different lengths. Adv. Civil Eng. 2018, 2384579 (2018b)

    Google Scholar 

  • Yu, B.M., Cheng, P.: A fractal permeability model for bi-dispersed porous media. Int. J. Heat Mass Transf. 45(14), 2983–2993 (2002)

    Article  Google Scholar 

  • Yu, B.M., Li, J.H.: Some fractal characters of porous media. Fractals 9(03), 365–372 (2001)

    Article  Google Scholar 

  • Yu, B.M., Xu, P., Zou, M.Q., Cai, J.C., Zheng, Q.: Fractal Porous Media Transport Physics. Science Press, Beijing (2014)

    Google Scholar 

  • Yu, B.M.: Advances of fractal analysis of transport properties for porous media. Adv. Mechan. 33(3), 333–346 (2003)

    Google Scholar 

  • Zhang, G.Q., Hirasaki, G.J., House, W.V.: Internal field gradients in porous media. Petrophysics 44(06), 422–434 (2003)

    Google Scholar 

  • Zhao, T.B., Guo, W.Y., Tan, Y.L., Lu, C.P., Wang, C.W.: Case histories of rock bursts under complicated geological conditions. Bull. Eng. Geol. Env. 2, 1–17 (2017)

    Google Scholar 

  • Zhao, T.B., Guo, W.Y., Tan, Y.L., Yin, Y.C., Cai, L.S., Pan, J.F.: Case studies of rock bursts under complicated geological conditions during multi-seam mining at a depth of 800m. Rock Mech. Rock Eng. 51, 1539–1564 (2018)

    Article  Google Scholar 

  • Zheng, Q., Yu, B.M.: A fractal permeability model for gas flow through dual-porosity media. J. Appl. Phys. 111(2), 1286 (2012)

    Article  Google Scholar 

  • Zhou, G., Zhang, Q., Bai, R.N., Fan, T., Wang, G.: The diffusion behavior law of respirable dust at fully mechanized caving face in coal mine: CFD numerical simulation and engineering application. Process Saf. Environ. Prot. 106, 117–128 (2017)

    Article  Google Scholar 

  • Zhou, L., Kang, Z.H.: Fractal characterization of pores in shales using NMR: a case study from the Lower Cambrian Niutitang Formation in the Middle Yangtze Platform, Southwest China. J. Nat. Gas Sci. Eng. 35, 860–872 (2016)

    Article  Google Scholar 

  • Zhou, S.D., Liu, D.M., Cai, Y.D., Yao, Y.B.: Fractal characterization of pore–fracture in low-rank coals using a low-field NMR relaxation method. Fuel 181, 218–226 (2016)

    Article  Google Scholar 

  • Zhu, J.F., Liu, J.Z., Yang, Y.M., Cheng, J., Zhou, J.H., Cen, K.F.: Fractal characteristics of pore structures in 13 coal specimens: relationship among fractal dimension, pore structure parameter, and slurry ability of coal. Fuel Process. Technol. 149, 256–267 (2016)

    Article  Google Scholar 

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Acknowledgements

The authors would like to acknowledge the support of the National Key Research and Development Program of China (No. 2017YFC0805201), National Natural Science Foundation of China (Project Nos. 51604168, 51574158, 51504142), Natural Science Foundation of Shandong Province (CN) (Project No. ZR2014EEQ038), China Postdoctoral Science Foundation (Project No. 2016M592222), Innovation Fund-funded projects of postgraduate of Shandong University of Science and Technology (Project No. SDKDYC180307).

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  1. College of Mining and Safety Engineering, Shandong University of Science and Technology, 579 Qianwangang Rd, Huangdao District, Qingdao, 266590, People’s Republic of China

    Zhen Liu, He Yang, Wenyu Wang, Weimin Cheng & Lin Xin

  2. State Key Laboratory of Mining Disaster Prevention and Control Co-founded by Shandong Province and the Ministry of Science and Technology, Shandong University of Science and Technology, Qingdao, 266590, People’s Republic of China

    Zhen Liu, He Yang, Wenyu Wang, Weimin Cheng & Lin Xin

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  1. Zhen Liu
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Correspondence to He Yang.

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Liu, Z., Yang, H., Wang, W. et al. Experimental Study on the Pore Structure Fractals and Seepage Characteristics of a Coal Sample Around a Borehole in Coal Seam Water Infusion. Transp Porous Med 125, 289–309 (2018). https://doi.org/10.1007/s11242-018-1119-x

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