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Study on the Fractal Model of Erosion of Soft Rock by Water Immersed: Case Study Erosion of Metamorphic Slate

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Abstract

One of the characteristics of soft rock that contains clay and engineering geology is water swelling and.disintegration. The fractal model of slate disintegration is established by Gate Gaudin Sehuhmann distribution function, representative slate samples are chosen to perform laboratory tests of slaking, and the fractal dimension value of slate disintegration change law with time is obtained. The results show that absorbing water and disintegrating progress of slate is also a progress that fractal dimension of slate scrap change successively, when disintegrating of slate arrived to some extent, grade of scrap of slate disintegrated is no more change, fractal dimension of scrap of slate disintegrated incline to a critical value. The disintegration of slate has lag phenomenon in time. The initial disintegration time and the maximum disintegration fractal dimension of rocks are different because of the different microstructure and material composition.

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References

  • Chai ZY, Zhang YT, Zhang XY (2015) Experimental investigations on correlation with slake durability and mineral composition of mudstone. J China Coal Soc 40(5):1188–1193

    Google Scholar 

  • Ding LJ, Liu YH (2018) Study on deformation law of surrounding rock of super long and deep buried sandstone tunnel. Geomechanics and Engineering 16(1):97–104

    Google Scholar 

  • Huang M, Zhan JW (2015) Disintegration tests and energy dissipation characteristics of soft rock in acid and alkali solution. Rock Soil Mech 36(9):2607–2623

    Google Scholar 

  • Liu XM, Zhao MH, Su YH (2008) Mathematical simulation of fractal mechanism for slaking of soft rock. Rock Soil Mech 29(8):2043–2069

    Google Scholar 

  • Liang B, Cao Q, Wang JG (2017) Experimental study on slaking characteristics of feeble disintegration soft rock in drying-wetting cycle. China Saf Sci J 27(8):91–96

    Google Scholar 

  • Riquelme A, Tomás R, Abellan A (2016) Characterization of rock slopes through slope mass rating using 3D point clouds. Int J Rock Mech Min Sci 84:165–176

    Article  Google Scholar 

  • Ruiz-Carulla R, Corominas J, Mavrouli O (2015) A methodology to obtain the block size distribution of fragmental rockfall deposits. Landslides 12(4):815–825

    Article  Google Scholar 

  • Ruiz-Carulla R, Corominas J, Mavrouli O (2017) A fractal fragmentation model for rockfalls. Landslides 14(3):875–889

    Article  Google Scholar 

  • Shen PW, Tang HM, Wang DJ (2017) Disintegration characteristics of red-bed mudstone of Badong formation under wet-dry cycles. Rock Soil Mech 38(7):1990–1998

    Google Scholar 

  • Tan LR (2001) Discussion on mechanism of disintegration and argilHtization of clay-rock. Rock Soil Mech 22(1):1–5

    Google Scholar 

  • Xu YF, Song DQ, Chu FF (2016) Approach to the Weibull modulus based on fractal fragmentation of particles. Powder Technol 292:99–107

    Article  Google Scholar 

  • Yang CY (2011) Experiment studies of water-weakening properties of slates. Technol Develop Enterp 30(5):126–127

    Google Scholar 

  • Zeng ZX, Kong LW, Tian H (2017) Effect of drying and wetting cycles on disintegration behavior of swelling mudstone and its grading entropy characterization. Rock Soil Mech 38(7):1983–1989

    Google Scholar 

  • Zhang JR, Hu Y, Zhang BW (2015) Fractal behavior of particle-size distribution during particle crushing of quartz sand and gravel. Chin J Geotech Eng 37(5):784–791

    Google Scholar 

  • Zhang ZT, Gao WH, Zhang ZM (2019) Disintegration characteristics and fractal features of swelling rock during dry-wet cycles. J Railw Sci Eng 16(4):930–937

    Google Scholar 

  • Zhu JG, Guo WL, Wen YF (2018) New gradation equation and applicability for particle-size distributions of various soils. Int J Geomech 18(2):1–8

    Article  Google Scholar 

Download references

Acknowledgements

This work was financially supported by Science and Technology Project of Deyang City (No.2017ZZ066).

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Correspondence to Lujun Ding.

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Ding, L., Liu, Y. Study on the Fractal Model of Erosion of Soft Rock by Water Immersed: Case Study Erosion of Metamorphic Slate. Geotech Geol Eng 39, 5183–5189 (2021). https://doi.org/10.1007/s10706-021-01823-x

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