Abstract
It has been found that the physical and mechanical properties of rockfill materials deteriorate when subjected to wetting–drying cycles. Previous studies have mainly focused on the variations of mechanical properties of rockfill materials with wetting–drying cycles. However, the effects of wetting–drying cycles on the breakage characteristics of rock grains still remain unclear. In this study, we perform extensive single grain crushing tests on slate rock grains that have suffered from different wetting–drying cycles. We then investigate the effects of cyclic wetting–drying on the crushing strength, fracture energy, and fragment size distribution of slate rock grains. The results show that both the crushing strength and fracture energy per volume decrease exponentially with increasing wetting–drying cycles, indicating that the deterioration of the mechanical properties of slate grains gradually slows down. The size of fragments follows a fractal distribution, and the fractal dimension shows a linear relationship with the number of wetting–drying cycles, suggesting more small fragments for highly deteriorated rock grains. SEM scanning indicates that the micropores and cracks expand due to wetting–drying cycles. An X-ray diffraction analysis shows that the mineral composition content of slate grains changes after wetting–drying cycles.
Similar content being viewed by others
Abbreviations
- \(P_{\text{s}}\) :
-
The survival probability of a grain
- \(\sigma_{\text{0}}\) :
-
The characteristic strength at which 37% of grains survive (MPa)
- \(d\) :
-
The grain size (mm)
- \(d_{\text{0}}\) :
-
The reference grain size (mm)
- \(N\) :
-
The number of wetting–drying cycles
- \(i\) :
-
The rank in ascending order
- \(m\) :
-
The weibull modulus
- \(E_{{\text{f}}}\) :
-
The energy input by the external load (kJ)
- \(\delta_{{\text{f}}}\) :
-
The loading displacement (mm)
- \(F\) :
-
The external load (n)
- \(E\) :
-
The fracture energy of a grain (kJ)
- \(V\) :
-
The volume of a grain (m3)
- \(\langle {E \mathord{\left/ {\vphantom {E V}} \right. \kern-\nulldelimiterspace} V}\rangle\) :
-
The mean fracture energy per unit volume (kJ/m3)
- \(M\) :
-
The mass of a grain (g)
- \(S\) :
-
The shape factor of a grain
- \(\rho\) :
-
The unit mass
- \(D\) :
-
The fractal dimension of the grain size distribution
- \(N\left( d \right)\) :
-
The number of fragments with size larger than d
- \(M\left( d \right)\) :
-
The cumulative mass of the fragments with size larger than d
References
Alonso EE, Cardoso R (2010) Behavior of materials for earth and rockfill dams: perspective from unsaturated soil mechanics. Front Archit Civ Eng China 4:1–39. https://doi.org/10.1007/s11709-010-0013-6
Altuhafi F, Baudet BA (2011) A hypothesis on the relative roles of crushing and abrasion in the mechanical genesis of a glacial sediment. Eng Geol 120(1–4):1–9. https://doi.org/10.1016/j.enggeo.2011.03.002
Antonyuk S, Tomas J, Heinrich S, Mörl L (2005) Breakage behaviour of spherical granulates by compression. Chem Eng Sci 60(14):4031–4044. https://doi.org/10.1016/j.ces.2005.02.038
Beck K, Al-Mukhtar M (2014) Cyclic wetting-drying ageing test and patina formation on tuffeau limestone. Environ Earth Sci 71:2361–2372. https://doi.org/10.1007/s12665-013-2637-z
Berenbaum R, Brodie I (1959) Measurement of the tensile strength of brittle materials. Br J Appl Phys 10(6):281. https://doi.org/10.1088/0508-3443/10/6/307
Cetin H, Laman M, Ertunc A (2000) (2000) Settlement and slaking problems in the world’s fourth largest rock-fill dam, the Ataturk Dam in Turkey. Eng Geol 56:225–242. https://doi.org/10.1016/s0013-7952(99)00049-6
Chamberlain EJ, Gow AJ (1979) Effects of freezing and thawing on the permeability and structure of soils. Eng Geol 13:73–92. https://doi.org/10.1016/0013-7952(79)90022-X
Charles JA, Watts KS (1980) The influence of confining pressure on the shear strength of compacted rockfill. Géotechnique 30(4):353–367. https://doi.org/10.1680/geot.1980.30.4.353
Chen Q, Indraratna B, Carter JP, Nimbalkar S (2016) Isotropic-kinematic hardening model for coarse granular soils capturing particle breakage and cyclic loading under triaxial stress space. Can Geotech J 53(4):646–658. https://doi.org/10.1139/CGJ-2015-0166
Cheshomi A, Sheshde EA (2013) Determination of uniaxial compressivestrength of microcrystalline limestone using single particles load test. J Pet Sci Eng 111:121–126. https://doi.org/10.1016/j.petrol.2013.10.015
Cho N, Martin CD, Sego DC (2007) A clumped particle model for rock. Int J Rock Mech Min Sci 44:997–1010. https://doi.org/10.1016/j.ijrmms.2007.02.002
Coop MR, Sorensen KK, Bodas Freitas T, Georgoutsos G (2004) Particle breakage during shearing of a carbonate sand. Geotechnique 54:157–163. https://doi.org/10.1680/geot.2004.54.3.157
Das Neves EM, Pinto AV (1992) Discussion of construction and performance of two large rockfill embankments by Gordon M. Matheson and William F. Parent. J Geotech Eng 118(1):159–160. https://doi.org/10.1061/(ASCE)0733-9410(1992)118:1(159.2)
Dehestani A, Hosseini M, Beydokhti AT (2020) Effect of wetting–dryingcycles on mode I and mode II fracture toughness of sandstone in natural (pH = 7) and acidic (pH = 3) environments. Theor Appl Fract Mech 107:102512. https://doi.org/10.1016/j.tafmec.2020.102512
Deng HY, Zhou ML, Li JL, Fang JC, Xiao Y, Zhang HB, WangChen XJ (2016) Mechanical properties deteriorating change rule research of red-layer soft rock under water-rock interaction. Chin J Rock Mech. Eng 35(S2):3481–3491. https://doi.org/10.13722/j.cnki.jrme.2016.0810
Dong J, Cheng YP, Hu B, Hao CM, Tu QY, Liu ZD (2018) Experimental study of the mechanical properties of intact and tectonic coal via compression of a single particle. Powder Technol 325:412–419. https://doi.org/10.1016/j.powtec.2017.11.029
Fumagalli E (1969) Tests on cohesionless materials for rockfill dams. Soil Mech Found Eng 95(1):313–332
Ham TG, Nakata Y, Orense R, Hyodo M (2010) Influence of water on the compression behavior of decomposed granite soil. J Geotech Geoenviron Eng 136(5):697–705. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000274
Hazirbaba K, Gullu H (2010) California bearing ratio improvement and freeze–thaw performance of fine-grained soils treated with geofiber and synthetic fluid. Cold Reg Sci Technol 63(1–2):50–60. https://doi.org/10.1016/j.coldregions.2010.05.006
Huang QS, Zhou W, Ma G, Ng TT, Xu K (2019) Experimental and numerical investigation of Weibullian behavior of grain crushing strength. Geosci Front 11:2. https://doi.org/10.1016/j.gsf.2019.07.007
Indraratna B, Ionescu D, Christie HD (1998) Shear behavior of railway ballast based on large-scale triaxial tests. J Geotech Geoenviron Eng 124(5):439–449. https://doi.org/10.1061/(ASCE)1090-0241(1998)124:5(439)
Indraratna B, Thakur PK, Vinod JS (2010) Experimental and numerical study of railway ballast behavior under cyclic loading. Int J Geomech 10(4):136–144. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000055
Jaeger JC (1967) Failure of rocks under tensile conditions. Int J Rock Mech Min Sci Geomech Abstr 4(2):219–227. https://doi.org/10.1016/0148-9062(67)90046-0
Janardhanam R, Desai CS (1983) Three-dimensional testing and modeling of ballast. J Geotech Eng 109(6):783–796. https://doi.org/10.1061/(ASCE)0733-9410(1983)109:6(783)
Jia YF, Yao SE, Chi SC (2019) Wetting of coarse-grained soil under equal stress ratio path. Chin J Geotech Eng 41(4):648–654
Jia YF, Xu B, Desai CS, ASCE DM, Chi SC (2020) Rockfill particle breakage generated by wetting deformation under the complex stress path. Int J Geomech 20:10. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001789
Justo JL, Durand P (2015) Settlement-time behaviour of granular embankments. Int J Numer Anal Methods Geomech 24(3):281–303. https://doi.org/10.1002/(SICI)1096-9853(200003)24:3%3c281::AID-NAG66%3e3.0.CO;2-S
Khanlari G, Abdilor Y (2015) Influence of wet-dry, freeze-thaw, and heat-cool cycles on the physical and mechanical properties of Upper Red sandstones in central Iran. B Eng Geol Environ 74(4):1287–1300. https://doi.org/10.1007/s10064-014-0691-8
King RP, Bourgeois F (1993) Measurement of fracture energy during single-particle fracture. Miner Eng 6(4):353–367. https://doi.org/10.1016/0892-6875(93)90015-F
Kuang D, Long ZL, Guo RQ, Yu PY (2020) Experimental and numerical investigation on size effect on crushing behaviors of single calcareous sand particles. Mar Georesour Geotechnol. https://doi.org/10.1080/1064119X.2020.1725194
Lee JY, Kim HS, Yun ST, Kwon JS (2009) Factor and cluster analyses of water chemistry in and around a large rockfill dam: implications for water leakage. J Geotech Geoenviron Eng 135(9):1254–1263. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000039
Li S, Gao L, Chai S (2012) Significance and interaction of factors on mechanical properties of frozen soil. Rock Soil Mech 33(4):1173–1177. https://doi.org/10.1117/12.768537
Li H, Mcdowell G, Lowndes I (2014) Discrete element modelling of a rock cone crusher. Powder Technol 263:151–158. https://doi.org/10.1016/j.powtec.2014.05.004
Lim WL, McDowell GR, Collop AC (2004) The application of Weibull statistics to the strength of railway ballast. Granular Matter 6:229–237. https://doi.org/10.1007/s10035-004-0180-z
Liu CZ (2010) Mechanism analysis on the JIWeiShan rockfill disaster happened in WuLong. ChongQing J Eng Geol 18(3):297–297. https://doi.org/10.3724/SP.J.1231.2010.06586
Liu J, Chang D, Yu Q (2016) Influence of freeze-thaw cycles on mechanical properties of a silty sand. Eng Geol 210:23–32. https://doi.org/10.1016/j.enggeo.2016.05.019
Liu XR, Yuan W, Fu Y, Wang ZJ, Miao LL, Xie WB (2018) Porosity evolution of sandstone dissolution under wetting and drying cycles. Chin J Geotech Eng 40(003):527–532. https://doi.org/10.11779/CJGE201803017
Lobo-Guerrero S, Vallejo LE (2005) Crushing a weak granular material: experimental numerical analyses. Géotechnique 55(3):245–249. https://doi.org/10.1680/geot.2005.55.3.245
Lopez RDF, Larsson S, Silfwerbrand J (2019) A discrete element material model including particle degradation suitable for rockfill embankments. Comput and Geotech 115:103166. https://doi.org/10.1016/j.compgeo.2019.103166
Lu M, Mcdowell GR (2010) Discrete element modelling of railway ballast under monotonic and cyclic triaxial loading. Géotechnique 60(6):459–467. https://doi.org/10.1680/geot.2010.60.6.459
Ma G, Zhou W, Ng TT, Cheng YG, Chang XL (2015) Microscopic modeling of the creep behavior of rockfills with a delayed particle breakage model. Acta Geotech 10:481–496. https://doi.org/10.1007/s11440-015-0367-y
Ma G, Zhou W, Regueiro RA, Wang Q, Chang XL (2017) Modeling the fragmentation of rock grains using computed tomography and combined fdem. Powder Technol 308:388–397. https://doi.org/10.1016/j.powtec.2016.11.046
Ma G, Zhang YD, Zhou W, Tang-Tat Ng, Wang Q, Chen X (2018a) The effect of different fracture mechanisms on impact fragmentation of brittle heterogeneous solid. Intl J Impact Eng 113:132–143. https://doi.org/10.1016/j.ijimpeng.2017.11.016
Ma LJ, Li Z, Wang MY, Wei HZ, Fan PX (2018b) Effects of size and loading rate on the mechanical properties of single coral particles. Powder Technol. https://doi.org/10.1016/j.powtec.2018.10.037
Manso J, Marcelino J, Caldeira L (2020) Single-particle crushing strength under different relative humidity conditions. Acta Geotech. https://doi.org/10.1007/s11440-020-01065-w
Marsal RJ (1967) Large scale testing of rockfill materials. J Soil Mech Found Div 93(2):27–43
McDowell GR, Amon A (2000) The application of weibull statistics to the fracture of soil particles. J Jpn Geotech Soc 40(5):133–141. https://doi.org/10.3208/sandf.40.5_133
Morris DV, Sarma SK, Barbosa MR (1989) Factor of safety and probability of failure of rockfill embankments. Géotechnique 39(3):471–483. https://doi.org/10.1680/geot.1989.39.3.471
Nakata Y, Hyodo M, Hyde AFL, Kato Y, Murata H (2001) Microscopic particle crushing of sand subjected to high pressure one-dimensional compression. Soils Found 41:69–82. https://doi.org/10.3208/sandf.41.69
Naylor DJ, Maranha J, Neves EMD, Pinto AAV (1997) A back-analysis of Beliche dam. Géotechnique 47(2):221–233. https://doi.org/10.1680/geot.51.4.377.39397
Nguyen DH, Azema E, Sornay P, Radjai F (2015) Bonded-cell model for particle fracture. Phys Rev E 91(2):022203. https://doi.org/10.1103/PhysRevE.91.022203
Nimbalkar S, Indraratna B, Dash SK, Christie D (2012) Improved performance of railway ballast under impact loads using shock mats. J Geotech Geoenviron Eng 138(3):281–294. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000598
Oldecop LA, Alonso EE (2001) A model for rockfill compressibility. Géotechnique 51(2):127–139. https://doi.org/10.1680/geot.51.2.127.40283
Peng M, Zhang LM (2012) Breaching parameters of landslide dams. Landslides 9:13–31. https://doi.org/10.1007/s10346-011-0271-y
Pye K, Miller JA (1990) Chemical and biochemical weathering of pyrite mudrocks in a shale embankment. Q J Eng Geol 23:365–381. https://doi.org/10.1144/GSL.QJEG.1990.023.04.11
Pye K, Sperling CHB (2010) Experimental investigation of silt formation by static breakage processes: the effect of temperature, moisture and salt on quartz dune sand and granitic regolith. Sedimentol 30(1):49–62. https://doi.org/10.1111/j.1365-3091.1983.tb00649.x
Refahi A, Mohandesi JA, Rezai B (2010) Discrete element modeling for predicting breakage behavior and fracture energy of a single particle in a jaw crusher. Int J Miner Process 94(1–2):83–91. https://doi.org/10.1016/j.minpro.2009.12.002
Saeidi F, Yahyaei M, Powell M, Tavares LM (2017) Investigating the effect of applied strain rate in a single breakage event. Miner Eng 100:211–222. https://doi.org/10.1016/j.mineng.2016.09.010
Sherard JL, Cooke JB (1987) Concrete-face rockfill dam: I. Assessment. J Geotech Eng 113(10):1096–1112. https://doi.org/10.1061/(ASCE)0733-9410(1987)113:10(1096)
Shi C, Li DJ, Chen KH, Zhou JW (2016) Failure mechanism and stability analysis of the Zheng gang landslide in Yunnan Province of China using 3D particle flow code simulation. J Mt Sci 13(5):891–905. https://doi.org/10.1007/s11629-014-3399-0
Silvani C, Bonelli S, Philippe P, Desoyer T (2008) Buoyancy and local friction effects on rockfill settlements: a discrete modelling. Comput Math Appl 55(2):208–217. https://doi.org/10.1016/j.camwa.2007.04.011
Sun GL, Zhang BY, Sun ZQG, X, (2010) Experimental study of deformation characteristics of rockfill under different environmental conditions. Rock Soil Mech 31(5):1413–1419. https://doi.org/10.16285/j.rsm.2010.05.018
Sun QD, Indraratna B, Nimbalkar S (2016) Deformation and degradation mechanisms of railway ballast under high frequency cyclic loading. J Geotech Geoenviron Eng 142(1):04015056. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001375
Theivakularatnam M (2015) Durability of lightly stabilised granular material subjected to freeze-thaw and wet-dry cycles. Geotech Spec Publ. https://doi.org/10.1061/9780784479087.127
Turcotte DL (1986) Fractals and fragmentation. J Geophys Res Solid Earth 91(B2):1921–1926. https://doi.org/10.1029/JB091iB02p01921
Valdes JR, Fernandes FL, Einav I (2012) Periodic propagation of localized compaction in a brittle granular material. Granular Matter 14(1):71–76. https://doi.org/10.1007/s10035-011-0302-3
Voight B (1978) Rockslides and Avalanches. Elsevier, New York
Wang HJ, Yin ZZ (2007) Experimental study on deformation of rockfill material due to long term cyclic wetting-drying. J Hydraul Eng 08:914–919
Wang D, Ma W, Niu YH, Chang XX, Wen Y (2007) Effects of cyclic freezing and thawing on mechanical properties of Qinghai-Tibet clay. Cold Reg Sci Technol 48(1):34–43. https://doi.org/10.1016/j.coldregions.2006.09.008
Wang YD, Xu YF, Xi Y (2015) Single rock particle crushing in uniaxial compression tests. Chin J Soild Mech 36(06):517–523. https://doi.org/10.19636/j.cnki.cjsm42-1250/o3.2015.06.006
Wang C, Pei W, Zhang M, Lai Y, Dai J (2020) Multi-scale experimental investigations on the deterioration mechanism of sandstone under wetting–drying cycles. Rock Mech Rock Eng. https://doi.org/10.1007/s00603-020-02257-2
Wei S, Zhu JG (2006) Study on wetting breakage of coarse-grained materials in triaxial test. Chin J Rock Mech Eng 25(6):1252–1258. https://doi.org/10.1016/S1872-1508(06)60035-1
Wong RHC, Lin P, Tang CA (2006) Experimental and numerical study on splitting failure of brittle solids containing single pore under uniaxial compression. Mech Mater 38(1–2):142–159. https://doi.org/10.1016/j.mechmat.2005.05.017
Wu FQ, Qi SW, Lan HX (2005) Mechanism of uplift deformation of the dam foundation of Jiang ya Water Power Station, Hunan Province, PR China. Hydrogeol J 13(3):451–466. https://doi.org/10.1007/s10040-004-0374-9
Xiao Y, Liu H, Chen Y, Jiang J (2014) Strength and deformation of rockfill materialbased on large-scale triaxial compression tests II: influence of particle breakage. J Geotech Geoenviron Eng 140(12):04014071. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001177
Xiao Y, Meng MQ, Daouadji A, Chen QS, Wu ZJ, Jiang X (2018) Effects of particle size on crushing and deformation behaviors of rockfill materials. Geosci Front 11(2):375–388. https://doi.org/10.1016/j.gsf.2018.10.010
Xie HP, Peng RD, Yang JU, Zhou HW (2005) On energy analysis of rock failure. Chin J Rock Mech Eng 24(15):2603–2608. https://doi.org/10.1007/s11769-005-0030-x
Xu Y (2005) Explanation of scaling phenomenon based on fractal fragmentation. Mech Res Commun 32(2):209–220. https://doi.org/10.1016/j.mechrescom.2003.10.001
Xu YF (2018) The fractal evolution of particle fragmentation under different fracture energy. Powder Technol 323:337–345. https://doi.org/10.1016/j.powtec.2017.10.011
Yang X, Wang J, Zhu C, He M, Gao Y (2019) Effect of wetting and drying cycles on microstructure of rock based on SEM. Environ Earth Sci 78:183. https://doi.org/10.1007/s12665-019-8191-6
Yao W, Li C, Zhan H, Zhou J-Q, Criss RE, Xiong S, Jiang X (2020) Multiscale study of physical and mechanical properties of sandstone in three Gorges reservoir region subjected to cyclic wetting-drying of Yangtze river water. Rock Mech Rock Eng 53:2215–2231. https://doi.org/10.1007/s00603-019-02037-7
Yin ZZ (2009) Stress and deformation of high earth and rock-fill dams. Chin J Geotech Eng 31(1):1–14. https://doi.org/10.1109/MILCOM.2009.5379889
Zhang BY, Shi RF (2004) Influence of creeping on separation between concrete slab and cushion layer in high concrete face rock-fill dam. Rock Soil Mech 25(8):1179–1184. https://doi.org/10.16285/j.rsm.2004.08.001
Zhang BY, Zhang JH, Sun GL (2012) Particle breakage of argillaceous siltstone subjected to stresses and weathering. Eng Geol 137–138:21–28. https://doi.org/10.1016/j.enggeo.2012.03.009
Zhang BY, Zhang JH, Sun GL (2015) Deformation and shear strength of rockfill materials composed of soft siltstones subjected to stress, cyclical drying/wetting and temperature variations. Eng Geol 190:87–97. https://doi.org/10.1016/j.enggeo.2015.03.006
Zhang YD, Buscarnera G, Einav I (2016) Grain size dependence of yielding in granular soils interpreted using fracture mechanics, breakage mechanics and Weibull statistics. Géotechnique 66(2):149–160. https://doi.org/10.1680/jgeot.15.P.119
Zhang X, Baudet BA (2014) The multi-fractal nature of soil particle size distribution. In: TC105 ISSMGE international symposium on geomechanics from micro to macro, IS-Cambridge, 2014
ZhangLIZhang DGXQG (2009) Research on moistening test of coarse-grained soil with weak rock. J Hydroelectr Eng 28(2):52–55. https://doi.org/10.1016/j.jaccpubpol.2008.11.004
Zhao BD, Wang JF, Coop MR, Viggiani G, Jiang MJ (2015) An investigation of single sand particle fracture using X-ray micro-tomography. Géotechnique 65(8):625–641. https://doi.org/10.1680/geot.4.P.157
Zhao ZG, Yang J, Zhang DF, Peng H (2016) Effects of wetting and cyclic wetting–drying on tensile strength of sandstone with a low clay mineral content. Rock Mech Rock Eng 50:485–491. https://doi.org/10.1007/s00603-016-1087-9
Zhou W, Hua JJ, Chang XL, Zhou CB (2011) Settlement analysis of the Shuibuya concrete-face rockfill dam. Comput Geotech 38(2):269–280. https://doi.org/10.1016/j.compgeo.2010.10.004
Zhou W, Li SL, Ma G, Chang XL, Cheng YG, Ma X (2016) Assessment of the crest cracks of the Pubugou rockfill dam based on parameters back analysis. Geomech Eng 11(4):571–585. https://doi.org/10.12989/gae.2016.11.4.571
Zhou X, Ma G, Zhang Y (2019) Grain size and time effect on the deformation of rockfill dams: a case study on the shuibuya CFRD. Geotechnique 69(7):606–619. https://doi.org/10.1680/jgeot.17.P.299
Zingg T (1935) Beitrag zur Schotteranalyse. Dissertation, ETH. https://doi.org/10.3929/ethz-a-000103455
Acknowledgements
This work was supported by the National Natural Science Foundation of China (Grant nos. 51825905, U1865204) and the YaLong River Hydropower Development Company, Ltd. (Grant no. 0023-20XJ0011). Scanning electron microscopy (SEM, Zeiss SIGMA) in this paper was performed at the Testing Center of Wuhan University.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
The authors declare that they do not have any commercial or associative interests that represent a conflict of interest in connection with the work submitted.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Zhou, W., Cheng, J., Zhang, G. et al. Effects of Wetting–Drying Cycles on the Breakage Characteristics of Slate Rock Grains. Rock Mech Rock Eng 54, 6323–6337 (2021). https://doi.org/10.1007/s00603-021-02618-5
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00603-021-02618-5