Model for tortuosity of soil considering geometric arrangement of particles

YAN Han; TENG Ji-dong; ZHANG Sheng; SHENG Dai-chao

doi:10.11779/CJGE202001023

Volume 42 Issue 1

Turn off MathJax

Article Contents

Abstract

References

Chinese Journal of Geotechnical Engineering > 2020 > 42(1): 195-200. > DOI: 10.11779/CJGE202001023

YAN Han, TENG Ji-dong, ZHANG Sheng, SHENG Dai-chao. Model for tortuosity of soil considering geometric arrangement of particles[J]. Chinese Journal of Geotechnical Engineering, 2020, 42(1): 195-200. DOI: 10.11779/CJGE202001023

Citation:

PDF (612 KB)

Model for tortuosity of soil considering geometric arrangement of particles

YAN Han^1,,
TENG Ji-dong^{1, 2},
ZHANG Sheng^{1, 2, ,},
SHENG Dai-chao^{1, 2}

1.
Department of Geotechnical Engineering, Central South University, Changsha 410075, China
2.
National Engineering Laboratory for High Speed Railway Construction, Changsha 410075, China

More Information

Received Date: February 21, 2019
Available Online: December 07, 2022

Graphical Abstract

Abstract

Abstract

Tortuosity is an important parameter in studying the permeability of soil, which reflects the flow path of fluid in soil particles. In literatures, the tortuosity is considered to be solely related to the porosity of soil. However, the expressions for the tortuosity vary greatly in the previous studies. It may be caused by some other unconsidered factors. The physical model for fluid passing through square particles in laminar flow state is established in this study. The results show that the proposed model agrees well with the numerical simulation results and the experimental results in the literatures. Finally, the influences of particle arrangement and distribution on the tortuosity are analyzed, and the value region of the tortuosity is determined. It is concluded that the tortuosity of particles relates to the porosity of soil and the distribution of particles.
- tortuosity,
- porosity,
- particle arrangement,
- permeability

FullText(HTML)

References (11)

References

[1]	员美娟. 多孔介质中流体的若干流动特性研究[D]. 武汉: 华中科技大学, 2008. YUAN Mei-juan. Research on Some Flow Properties of Fluidin Porous Media[D]. Wuhan: Hua Zhong University of Science and Technology, 2008. (in Chinese)
[2]	BROOKS R H, COREY A T. Hydraulic properties of porous media[J]. Hydrol Pap, 1964, 3(1): 352-366.
[3]	SHACKELFORD C D, MOORE S M. Fickian diffusion of radionuclides for engineered containment barriers: diffusion coefficients, porosities, and complicating issues[J]. Engineering Geology, 2013, 152(1): 133-147. doi: 10.1016/j.enggeo.2012.10.014
[4]	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
[5]	MAURET E, RENAUD M. Transport phenomena in multi-particle systems: I limits of applicability of capillary model in high voidage beds-application to fixed beds of fibers and fluidized beds of spheres[J]. Chemical Engineering Science, 1997, 52(11): 1807-1817. doi: 10.1016/S0009-2509(96)00499-X
[6]	KOPONEN A, KATAJA M, TIMONEN J. Tortuous flow in porous media[J]. Phys Rev E Stat Phys Plasmas Fluids RelatInterdiscip Topics, 1996, 54(1): 406-410.
[7]	KOPONEN A, KATAJA M, TIMONEN J. Permeability and effective porosity of porous media[J]. Phys Rev E, 1997, 56: 3319-3325. doi: 10.1103/PhysRevE.56.3319
[8]	MOTA M. Binary spherical particle mixed beds: Porosity and permeability relationship measurement[J]. Filtration Society, 2001, 1(4): 101-106.
[9]	GHANBARIAN B, HUNT A G, EWING R P, et al. Tortuosity in porous media: a critical review[J]. Soil Science Society of America Journal, 2013, 77(5): 1461-1477. doi: 10.2136/sssaj2012.0435
[10]	YU B M, LI J H. A geometry model for tortuosity of flow path in porous media[J]. Chinese Physics Letters, 2004, 21(8): 1569-1571.
[11]	LI J H, YU B M. Tortuosity of flow paths through a sierpinski carpet[J]. Chinese Physics Letters, 2011, 28(3): 34701-34703. doi: 10.1088/0256-307X/28/3/034701

[1]	DENG Huafeng, WANG Wendong, LI Jianlin, FENG Yunjie, LI Guanye, QI Yu, CHEN Xingzhou. Damage effects and model for jointed rock mass under water-rock interaction and repeated shear sequence[J]. Chinese Journal of Geotechnical Engineering, 2023, 45(3): 503-511. DOI: 10.11779/CJGE20211510
[2]	LI Ren-jie, JI Feng, FENG Wen-kai, WANG Dong-po, ZHANG Jin-ming. Shear creep characteristics and constitutive model of hidden non-persistent joints[J]. Chinese Journal of Geotechnical Engineering, 2019, 41(12): 2253-2261. DOI: 10.11779/CJGE201912010
[3]	LIU Wu. Coupled damage and friction model for persistent fractured rocks considering multi-scale structures[J]. Chinese Journal of Geotechnical Engineering, 2018, 40(1): 147-154. DOI: 10.11779/CJGE201801015
[4]	LIU Hong-yan. Reply to discussion on“A dynamic damage constitutive model for rock masswith non-persistent joints under uniaxial compression”[J]. Chinese Journal of Geotechnical Engineering, 2016, 38(10): 1931-1931.
[5]	LI Lie-lie, ZHUO Li, LIU Zhi-yong. Discussion on“A dynamic damage constitutive model for rock mass with non-persistent joints under uniaxial compression”[J]. Chinese Journal of Geotechnical Engineering, 2016, 38(10): 1930-1931. DOI: 10.11779/CJGE201610025
[6]	LIU Hong-yan, WANG Xin-sheng, ZAHNG Li-min, ZHANG Li-guo. A dynamic damage constitutive model for rock mass with non-persistent joints under uniaxial compression[J]. Chinese Journal of Geotechnical Engineering, 2016, 38(3): 426-436. DOI: 10.11779/CJGE201603005
[7]	YUAN Xiao-qing, LIU Hong-yan, LIU Jing-ping. 3-D constitutive model for rock masses with non-persistent joints based on compound damage[J]. Chinese Journal of Geotechnical Engineering, 2016, 38(1): 91-99. DOI: 10.11779/CJGE201601009
[8]	Numerical simulation of a new damage rheology model for jointed rock mass[J]. Chinese Journal of Geotechnical Engineering, 2010, 32(7).
[9]	LIU Yuanming, XIA Caichu. Study on models and strength behavior of rock mass containing discontinuous joints in direct shear[J]. Chinese Journal of Geotechnical Engineering, 2006, 28(10): 1242-1247.
[10]	Zhang Wu, Zhang Xianhong. Elastic Models of Jointed Rock Masses[J]. Chinese Journal of Geotechnical Engineering, 1987, 9(4): 33-44.