Theoretical model of water spontaneous imbibition of sandstone considering microscopic pore geometry

Dong Chuanlong; Teng Teng; Li Zhihu; Zhang Wentao

doi:10.19606/j.cnki.jmst.2021.04.006

Volume 6 Issue 4

Jul. 2021

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Dong Chuanlong, Teng Teng, Li Zhihu, Zhang Wentao. Theoretical model of water spontaneous imbibition of sandstone considering microscopic pore geometry[J]. Journal of Mining Science and Technology, 2021, 6(4): 418-428. doi: 10.19606/j.cnki.jmst.2021.04.006

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Theoretical model of water spontaneous imbibition of sandstone considering microscopic pore geometry

doi: 10.19606/j.cnki.jmst.2021.04.006

Dong Chuanlong^{1, 2
,},
Teng Teng^{1
,
,},
Li Zhihu¹,
Zhang Wentao¹

1.
School of Energy and Mining Engineering, China University of Mining and Technology-Beijing, Beijing 100083, China
2.
School of Coal Engineering, Shanxi Datong University, Datong Shanxi 037003, China

Received Date: 2020-08-01
Rev Recd Date: 2021-01-14
Publish Date: 2021-08-01

Abstract

Abstract

In order to study the influence mechanism of micro pore geometry of sedimentary rock on its water absorption characteristics, based on Hagen-Poiseuille equation, Laplace-Young equation and fractal geometry theory, the capillary water absorption models which is respectively represented by average and fractal geometry are established by taking into account three geometric characteristics of pore section shape, pore size distribution and tortuous pore space.Compared with the existing model, the applicability and validity of representative model are verified by using existing experimental data.Finally, the sensitivity of geometric parameters influencing water absorption characteristics of pore structure is analyzed in detail.The results show that the parameters of water absorption characteristics are related to the pore geometry shape, tortuous fluid channel, free porosity and maximum pore size, whereas the more irregular the pore geometry and the more tortuous the connected pore channel, the stronger the heterogeneity and anisotropy of pore structure, and the weaker the water absorption.The physical meaning of equivalent average pore diameter is not clear in the model represented by average geometry, and the calculation result is larger than the measured values when average space pore size is directly brought into the model, while the physical meaning of parameters is clear in the model represented by fractal geometry, and the results close to measured values can be obtained; the proposed models have strong applicability for the pore structure with weak 3D pore connectivity and pore roar characteristics, and compared with the complicated IFU model and BEA model, similar or even more accurate theoretical predicted results can be obtained based on the simplified models.
- pore geometry,
- water absorption model,
- fractal geometry,
- spontaneous imbibition

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[1]	Perfect E, Cheng C L, Kang M, et al. Neutron imaging of hydrogen-rich fluids in geomaterials and engineered porous media: a review[J]. Earth-Science Reviews, 2014, 129: 120-135. doi: 10.1016/j.earscirev.2013.11.012
[2]	Lucas R. Rate of capillary ascension of liquids[J]. Kolloid Zeitschrift, 1918, 23: 15-22. doi: 10.1007/BF01461107
[3]	Washburn E W. The dynamics of capillary flow[J]. Physical Review, 1921, 17(3): 273. doi: 10.1103/PhysRev.17.273
[4]	Karl T. Theoretical soil mechanics[M]. Hoboken, NJ, USA: John Wiley & Sons, Inc., 1943.
[5]	Handy L L. Determination of effective capillary pressures for porous media from imbibition data[J]. Transactions of the AIME, 1960, 219(1): 75-80. doi: 10.2118/1361-G
[6]	Dullien F A L, El-Sayed M S, Batra V K. Rate of capillary rise in porous media with nonuniform pores[J]. Journal of Colloid and Interface Science, 1977, 60(3): 497-506. doi: 10.1016/0021-9797(77)90314-9
[7]	Lundblad A, Bergman B. Determination of contact angle in porous molten-carbonate fuel-cell electrodes[J]. Journal of the Electrochemical Society, 1997, 144(3): 984-987. doi: 10.1149/1.1837517
[8]	Benavente D, Lock P, ángeles García del Cura M, et al. Predicting the capillary imbibition of porous rocks from microstructure[J]. Transport in Porous Media, 2002, 49(1): 59-76. doi: 10.1023/A:1016047122877
[9]	Cai J C, Perfect E, Cheng C L, et al. Generalized modeling of spontaneous imbibition based on Hagen-poiseuille flow in tortuous capillaries with variably shaped apertures[J]. Langmuir, 2014, 30(18): 5142-5151. doi: 10.1021/la5007204
[10]	Raimondo M, Dondi M, de Gardini D, et al. Predicting the initial rate of water absorption in clay bricks[J]. Construction and Building Materials, 2009, 23(7): 2623-2630. doi: 10.1016/j.conbuildmat.2009.01.009
[11]	Nonweiler T R F. Flow of biological fluids through non-ideal capillaries[EB/OL]. 1975
[12]	Pickard W F. The ascent of Sap in plants[J]. Progress in Biophysics and Molecular Biology, 1981, 37: 181-229. doi: 10.1016/0079-6107(82)90023-2
[13]	Lewis A M, Boose E R. Estimating volume flow rates through xylem conduits[J]. American Journal of Botany, 1995, 82(9): 1112-1116. doi: 10.1002/j.1537-2197.1995.tb11581.x
[14]	Mortensen N A, Okkels F, Bruus H. Reexamination of Hagen-Poiseuille flow: shape dependence of the hydraulic resistance in microchannels[J]. Physical Review E, Statistical, Nonlinear, and Soft Matter Physics, 2005, 71(5 Pt 2): 057301. http://europepmc.org/abstract/MED/16089701
[15]	Franken A C M, Nolten J A M, Mulder M H V, et al. Wetting criteria for the applicability of membrane distillation[J]. Journal of Membrane Science, 1987, 33(3): 315-328. doi: 10.1016/S0376-7388(00)80288-4
[16]	Comiti J, Renaud M. A new model for determining mean structure parameters of fixed beds from pressure drop measurements: application to beds packed with parallelepipedal particles[J]. Chemical Engineering Science, 1989, 44(7): 1539-1545. doi: 10.1016/0009-2509(89)80031-4
[17]	徐升华, 周宏伟, 王彩霞, 等. 微重力条件下不同截面形状管中毛细流动的实验研究[J]. 物理学报, 2013, 62(13): 362-367. https://www.cnki.com.cn/Article/CJFDTOTAL-WLXB201313051.htm Xu Shenghua, Zhou Hongwei, Wang Caixia, et al. Experimental study on the capillary flow in tubes of different shapes under microgravity condition[J]. Acta Physica Sinica, 2013, 62(13): 362-367. https://www.cnki.com.cn/Article/CJFDTOTAL-WLXB201313051.htm
[18]	Cai J C, Hu X Y, Standnes D C, et al. An analytical model for spontaneous imbibition in fractal porous media including gravity[J]. Colloids and Surfaces A: Physicochemical and Engineering Aspects, 2012, 414: 228-233. doi: 10.1016/j.colsurfa.2012.08.047
[19]	Kontogeorgos D A, Founti M A. A generalized methodology for the definition of reactive porous materials physical properties: Prediction of gypsum board properties[J]. Construction and Building Materials, 2013, 48: 804-813. doi: 10.1016/j.conbuildmat.2013.07.095
[20]	Yun M J, Yu B M, Cai J C. A fractal model for the starting pressure gradient for Bingham fluids in porous media[J]. International Journal of Heat Mass Transfer, 2008, 51: 1402-1408. doi: 10.1016/j.ijheatmasstransfer.2007.11.016
[21]	Yu B M, Li J H. Some fractal characters of porous media[J]. Fractals, 2001, 9(3): 365-372. doi: 10.1142/S0218348X01000804
[22]	Pia G, Sassoni E, Franzoni E, et al. Predicting capillary absorption of porous stones by a procedure based on an intermingled fractal units model[J]. International Journal of Engineering Science, 2014, 82: 196-204. doi: 10.1016/j.ijengsci.2014.05.013
[23]	Feng Y J, Yu B M, Zou M Q, et al. A generalized model for the effective thermal conductivity of porous media based on self-similarity[J]. Journal of Physics D: Applied Physics, 2004, 37(21): 3030-3040. doi: 10.1088/0022-3727/37/21/014
[24]	Li K W, Horne R N. Characterization of spontaneous water imbibition into gas-saturated rocks[J]. SPE Journal, 2001, 6(4): 375-384. doi: 10.2118/74703-PA

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Theoretical model of water spontaneous imbibition of sandstone considering microscopic pore geometry

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