CLC number:
On-line Access: 2023-07-20
Received: 2022-11-09
Revision Accepted: 2023-02-21
Crosschecked: 2023-07-20
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Tuo LU, Yaming TANG, Yongbo TIE, Bo HONG, Wei FENG. Fractal analysis of small-micro pores and estimation of permeability of loess using mercury intrusion porosimetry[J]. Journal of Zhejiang University Science A, 2023, 24(7): 584-595.
@article{title="Fractal analysis of small-micro pores and estimation of permeability of loess using mercury intrusion porosimetry",
author="Tuo LU, Yaming TANG, Yongbo TIE, Bo HONG, Wei FENG",
journal="Journal of Zhejiang University Science A",
volume="24",
number="7",
pages="584-595",
year="2023",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.A2200528"
}
%0 Journal Article
%T Fractal analysis of small-micro pores and estimation of permeability of loess using mercury intrusion porosimetry
%A Tuo LU
%A Yaming TANG
%A Yongbo TIE
%A Bo HONG
%A Wei FENG
%J Journal of Zhejiang University SCIENCE A
%V 24
%N 7
%P 584-595
%@ 1673-565X
%D 2023
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A2200528
TY - JOUR
T1 - Fractal analysis of small-micro pores and estimation of permeability of loess using mercury intrusion porosimetry
A1 - Tuo LU
A1 - Yaming TANG
A1 - Yongbo TIE
A1 - Bo HONG
A1 - Wei FENG
J0 - Journal of Zhejiang University Science A
VL - 24
IS - 7
SP - 584
EP - 595
%@ 1673-565X
Y1 - 2023
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.A2200528
Abstract: Many popular models have been proposed to study the fractal properties of the pores of porous materials based on mercury intrusion porosimetry (MIP). However, most of these models do not directly apply to the small-micro pores of loess, which have a significant impact on the throat pores and tunnels for fluid flow. Therefore, in this study we used a combination of techniques, including routine physical examination, MIP analysis, and scanning electron microscope (SEM) image analysis, to study these small-micro pores and their saturated water permeability properties. The techniques were used to determine whether the fractal dimensions of six MIP fractal models could be used to evaluate the microstructure types and permeability properties of loess. The results showed that the Neimark model is suitable for analysis of small-micro pores. When applied to saturated water permeability, the results from this model satisfied the correlation significance test and were consistent with those from SEM analysis. A high clay content and density cause an increase in the number of small-micro pores, leading to more roughness and heterogeneity of the pore structure, and an increase in the fractal dimensions. This process further leads to a decrease in the content of macro-meso pores and saturated water permeability. Furthermore, we propose new parameters: the *Ellipse and its area ratios (*EAR). These parameters, coupled with 2D-SEM and 3D-MIP fractal dimensions, can effectively and quantitatively be used to evaluate the types of loess microstructures (from type I to type III) and the saturated water permeability (magnitude from 1×10-4 cm/s to 1×10-5 cm/s).
[1]AQSIQ (General Administration of Quality Supervision, Inspection and Quarantine of the People’s Republic of China), 2012. Rock Capillary Pressure Measurement, GB/T 29171-2012. National Standards of the People’s Republic of China(in Chinese).
[2]DouWC, LiuLF, JiaLB, et al., 2021. Pore structure, fractal characteristics and permeability prediction of tight sandstones: a case study from Yanchang formation, Ordos basin, China. Marine and Petroleum Geology, 123:104737.
[3]FriesenWI, MikulaRJ, 1987. Fractal dimensions of coal particles. Journal of Colloid and Interface Science, 120(1):263-271.
[4]HuYB, GuoYH, ShangguanJW, et al., 2020. Fractal characteristics and model applicability for pores in tight gas sandstone reservoirs: a case study of the upper paleozoic in Ordos basin. Energy & Fuels, 34(12):16059-16072.
[5]LeiXY, 1987. Pore types and collapsibility of Chinese loess. Science in China Series B-Chemistry, Biological, Agricultural, Medical & Earth Sciences, 17(12):1309-1318 (in Chinese).
[6]LeiXY, 1988. The types of loess pores in China and their relationship with collapsibility. Science in China Series B-Chemistry, Biological, Agricultural, Medical & Earth Sciences, 18(11):1398-1411 (in Chinese).
[7]LiJ, DuQ, SunCX, 2009. An improved box-counting method for image fractal dimension estimation. Pattern Recognition, 42(11):2460-2469.
[8]LiKW, 2010. Analytical derivation of brooks–corey type capillary pressure models using fractal geometry and evaluation of rock heterogeneity. Journal of Petroleum Science and Engineering, 73(1-2):20-26.
[9]LiKW, HorneRN, 2006. Fractal modeling of capillary pressure curves for the geysers rocks. Geothermics, 35(2):198-207.
[10]LiP, ZhengM, BiH, et al., 2017. Pore throat structure and fractal characteristics of tight oil sandstone: a case study in the Ordos basin, China. Journal of Petroleum Science and Engineering, 149:665-674.
[11]LiXA, LiLC, 2017. Quantification of the pore structures of Malan loess and the effects on loess permeability and environmental significance, Shaanxi Province, China: an experimental study. Environmental Earth Sciences, 76(15):523.
[12]LiYR, HeSD, DengXH, et al., 2018. Characterization of macropore structure of Malan loess in NW China based on 3D pipe models constructed by using computed tomography technology. Journal of Asian Earth Sciences, 154:271-279.
[13]LiZQ, QiSW, QiZY, et al., 2021. Microstructural insight into the characteristics and mechanisms of compaction during natural sedimentation and man-made filling on the Loess Plateau. Environmental Earth Sciences, 80(19):668.
[14]LiuZ, LiuFY, MaFL, et al., 2016. Collapsibility, composition, and microstructure of loess in China. Canadian Geotechnical Journal, 53(4):673-686.
[15]LuT, TangYM, RenHY, et al., 2022. A new method to determine the segmentation of pore structure and permeability prediction of loess based on fractal analysis. Bulletin of Engineering Geology and the Environment, 81:509.
[16]MaFL, YangJ, BaiXH, 2017. Water sensitivity and microstructure of compacted loess. Transportation Geotechnics, 11:41-56.
[17]MahamudMM, GarcíaV, 2018. Textural characterization of chars using fractal analysis of N2 and CO2 adsorption. Fuel Processing Technology, 169:269-279.
[18]MandelbrotBB, 1982. The Fractal Geometry of Nature. W. H. Freeman, San Francisco, USA.
[19]MOHURD (Ministry of Housing and Urban-Rural Development of the People’s Republic of China), SAMR (State Administration for Market Regulation of the People’s Republic of China), 2019. Standard for Geotechnical Testing Method, GB/T 50123-2019. National Standards of the People’s Republic of China(in Chinese).
[20]MuQY, NgCWW, ZhouC, et al., 2019. Effects of clay content on the volumetric behavior of loess under heating-cooling cycles. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 20(12):979-990.
[21]MuQY, ZhouC, NgCWW, 2020. Compression and wetting induced volumetric behavior of loess: macro- and micro-investigations. Transportation Geotechnics, 23:100345.
[22]MuQY, DongH, LiaoHJ, et al., 2022. Effects of in situ wetting–drying cycles on the mechanical behaviour of an intact loess. Canadian Geotechnical Journal, 59(7):1281-1284.
[23]NeimarkA, 1992. A new approach to the determination of the surface fractal dimension of porous solids. Physica A: Statistical Mechanics and Its Applications, 191(1-4):258-262.
[24]PfeiferP, AvnirD, 1983. Chemistry in noninteger dimensions between two and three. I. Fractal theory of heterogeneous surfaces. The Journal of Chemical Physics, 79(7):3558-3565.
[25]PittmanED, 1992. Relationship of porosity and permeability to various parameters derived from mercury injection-capillary pressure curves for sandstone. AAPG Bulletin, 76(2):191-198.
[26]RobinsonRB, 1966. Classification of reservoir rocks by surface texture. AAPG Bulletin, 50(3):547-559.
[27]ShenP, LiK, JiaF, 1995. Quantitative description for the heterogeneity of pore structure by using mercury capillary pressure curves. International Meeting on Petroleum Engineering.
[28]WangJD, LiP, MaY, et al., 2019. Evolution of pore-size distribution of intact loess and remolded loess due to consolidation. Journal of Soils and Sediments, 19(3):1226-1238.
[29]WeiTT, FanW, YuNY, et al., 2019a. Three-dimensional microstructure characterization of loess based on a serial sectioning technique. Engineering Geology, 261:105265.
[30]WeiTT, FanW, YuanWN, et al., 2019b. Three-dimensional pore network characterization of loess and paleosol stratigraphy from South Jingyang Plateau, China. Environmental Earth Sciences, 78(11):333.
[31]WeiYN, FanW, YuB, et al., 2020a. Characterization and evolution of three-dimensional microstructure of Malan loess. CATENA, 192:104585.
[32]WeiYN, FanW, YuNY, et al., 2020b. Permeability of loess from the South Jingyang Plateau under different consolidation pressures in terms of the three-dimensional microstructure. Bulletin of Engineering Geology and the Environment, 79(9):4841-4857.
[33]XiaoT, LiP, ShaoSJ, 2022. Fractal dimension and its variation of intact and compacted loess. Powder Technology, 395:476-490.
[34]XuPP, QianH, ZhangQY, et al., 2022. Investigating saturated hydraulic conductivity of remolded loess subjected to CaCl2 solution of varying concentrations. Journal of Hydrology, 612:128135.
[35]YuB, FanW, DijkstraTA, et al., 2021. Heterogeneous evolution of pore structure during loess collapse: insights from X-ray micro-computed tomography. CATENA, 201:105206.
[36]YuBM, LiJH, 2001. Some fractal characters of porous media. Fractals, 9(3):365-372.
[37]YuJR, ZhouC, MuQY, 2022. Numerical investigation on light non-aqueous phase liquid flow in the vadose zone considering porosity effects on soil hydraulic properties. Vadose Zone Journal, 21(5):e20211.
[38]ZhangBQ, LiSF, 1995. Determination of the surface fractal dimension for porous media by mercury porosimetry. Industrial & Engineering Chemistry Research, 34(4):1383-1386.
[39]ZhangLX, QiSW, MaLN, et al., 2020. Three-dimensional pore characterization of intact loess and compacted loess with micron scale computed tomography and mercury intrusion porosimetry. Scientific Reports, 10(1):8511.
[40]ZhangZY, WellerA, 2014. Fractal dimension of pore-space geometry of an eocene sandstone formation. Geophysics, 79(6):D377-D387.
[41]ZhouJ, TangYQ, 2018. Experimental inference on dual-porosity aggravation of soft clay after freeze-thaw by fractal and probability analysis. Cold Regions Science and Technology, 153:181-196.
[42]ZhuXM, LiYS, PengXL, et al., 1983. Soils of the loess region in China. Geoderma, 29(3):237-255.
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