A modified scale method based on fractal theory for rockfill materials

References

• Bard, E., Anabalon, M., & Campana, J. (2012). Waste rock behavior at high pressures: Dimensioning high waste rock dumps. In P. Y. Hicher (Ed.), Multiscale geomechanics: From soil to engineering projects (pp. 83–112). Croydon: Wiley.
   Google Scholar
• Bishop, W. A., & Henkel, D. J. (1948). The measurement of soils properties in the triaxial test. London: Edward Arnold.
   Google Scholar
• Deluzarche, R., & Cambou, B. (2006). Discrete numerical modelling of rockfill dams. International Journal for Numerical and Analytical Methods in Geomechanics, 30, 1075–1096.
   Web of Science ®Google Scholar
• Electic Power Press. (2006). Code for coarse-grained soil tests for hydropower and water conservancy engineering. Beijing: China Electic Power Press . (in Chinese)
   Google Scholar
• Frossard, E., Hu, W., Dano, C., & Hicher, P.-Y. (2012). Rockfill shear strength evaluation: A rational method based on size effects. Geotechnique, 62, 415–427.
   Web of Science ®Google Scholar
• Ghanbarian, A. B., Millán, H., & Huang, G. (2011). A review of fractal, prefractal and pore-solid-fractal models for parameterizing the soil water retention curve. Canadian Journal of Soil Science, 91(1), 1–14.
   Web of Science ®Google Scholar
• Ghanbarian, A. B., Sadeghpour, A. H., Mohamadzadeh, H., & Mohamadzadeh, M. (2008). An experimental study on the behavior of rockfill materials using large scale tests. Electronic Journal of Geotechnical Engineering, 13(1), 1–16.
   Google Scholar
• Guo, Q. G. (1998). The engineering properties and application of coarse-grained materials. Zhengzhou: The Yellow River Water Press. (in Chinese)
   Google Scholar
• Hannes, R. C. (1953). The strength of gravel in direct shear testing of soils. Soil Mechanics Symposium, Moscow, pp. 678–685. (in Russian)
   Google Scholar
• Hardin, B. O., & Fello, w. (1987). 1-D strain in normally consolidated conhensive soil. Journal of Geotechnical Engineering, 113, 1449–1467.
   Google Scholar
• Hu, W., Dano, C., Hicher, P.-Y., Touzo, J.-Y. L., Derkx, F., & Merliot, E. (2011). Effect of sample size on the behavior of granular materials. ASTM Geotechnical Testing journal, 34, 186–197.
   Web of Science ®Google Scholar
• Huang, J., & Xun, Y. (2012). Relationship of high-temperature performance and aggregate gradation of asphalt mixtures based on fractal theory. Applied Mechanics and Materials, 204, 3795–3798.
   Google Scholar
• Hunter, G., & Fell, R. (2003). Rockfill modulus and settlement of concrete face rockfill dams. Journal of Geotechnical and Geoenvironmental Engineering, 129, 909–917.
   Web of Science ®Google Scholar
• Indraratna, B., Ionescu, D., & Christie, H. D. (1998). Shear behaviour of railway ballast based on large scale triaxial testing. Journal of Geotechnical and Geoenvironmental Engineering, 124, 439–449.
   Web of Science ®Google Scholar
• Japanese Soil Engineering Society. (1995). Field compaction of coarse granular materials. Beijing: China WaterPower. (in Chinese)
   Google Scholar
• Kim, Y. S., & Kim, B. T. (2008). Prediction of relative crest settlement of concrete-faced rockfill dams analyzed using an artificial neural network model. Computers and Geotechnics, 35, 313–322.
   Web of Science ®Google Scholar
• Lee, J. Y., Choi, Y. K., Kim, H. S., & Yun, S. T. (2005). Hydrologic characteristics of a large rockfill dam: Implications for water leakage. Engineering Geology, 80, 43–59.
   Web of Science ®Google Scholar
• Li, Z. (2007). The experimental study on scale effect of sand-and-gravel materials under dynamic load. Nanjing: Hohai University . (in Chinese)
   Google Scholar
• Marachind, N. D., Chan, C. K., & Seed, H. B. (1972). Evaluation of properties of rockfill materials. Soil Mechanics and Foundation Division, 98, 95–114.
   Google Scholar
• Marsal, R. J. (1973). Mechanical properties of rockfill. In R. C. Hirschfeld & S. J. Poulos (Eds.), Embankment-Dam engineering, Casagrande volume (pp. 109–200). New York, NY: Wiley.
   Google Scholar
• Ochiai, M., Ozao, R., & Yamazaki, Y. (1992). Self-similarity law of particle size distribution and energy law in size reduction of solids. Physica A: Statistical Mechanics and its Applications, 191, 295–300.
   Google Scholar
• Oldecop, L. A., & Alonso, E. A. (2007). Theoretical investigation of the time-dependent behaviour of rockfill. Géotechnique, 57, 289–301.
   Web of Science ®Google Scholar
• Ramamurthy, T., & Gupta, K. K. (1986). Response paper to how ought one to determine soil parameters to be used in the design of earth and rockfill dams. Proceedings of Indian Geotechnical Conference, New Delhi, pp. 15–19.
   Google Scholar
• Shi, Y., Xiao, J., & Quan, S. (2010). Fractal model for prediction of effective hydrogen diffusivity of gas diffusion layer in proton exchange membrane fuel cell. International Journal of Hydrogen Energy, 35, 2863–2867.
   Web of Science ®Google Scholar
• Si, H., & Zhu, T. (1990). Experimental study on rock-fill materials in Xiao Langdi. Nanjing: Hydraulic Research Institute . (in Chinese)
   Google Scholar
• Tang, H., Zhu, J., Xi, Z., Di, X., Wang, J., & Ao, Q. (2010). Impact factors of fractal analysis of porous structure. Science China Technological Sciences, 53, 348–351.
   Web of Science ®Google Scholar
• Tripathi, S. K., Kushwaha, C. P., & Basu, S. K. (2012). Application of fractal theory in assessing soil aggregates in Indian tropical ecosystems. Journal of Forestry Research, 23, 355–364.
   Google Scholar
• Turcotte, D. L. (1986). Fractals and fragmentation, Journal of Geophysical Research, 91, 1921–1926.
   Web of Science ®Google Scholar
• Tyler, S. W., & Stephen, W. (1989). Application of fractal mathematics to soil water retention estimation. Soil Science Society of America Journal, 53, 987–996.
   Web of Science ®Google Scholar
• Tyler, S. W., & Wheatcraft, S. W. (1990). Fractal processes in soil water retention. Water Resources Research, 26, 1047–1054.
   Web of Science ®Google Scholar
• Verdugo, R., & de la Hoz, K. (2007). Strength and stiffness of coarse granular soils. In H. I. Ling, L. Callisto, D. Leshchinsky, & J. Koseki (Eds.), Soil stress-strain behavior: Measurement, modeling and analysis (pp. 243–252). Dordrecht: Springer.
   Google Scholar
• Wang, J. (1994). Deformation properties and scale effect of coarse-grained material. Chinese Journal of Geotechnical Engineering, 16, 89–95 . (in Chinese)
   Google Scholar
• Wang, Y., Ren, J., Wu, L., Deng, Y., & Liang, X. (2012). Research on effectiveness of PFC used in simulating coarse-grained material properties. Water Resources and Power, 30, 0072–0075 . (in Chinese)
   Google Scholar
• Weng, H. (2008). Experimental study on scale effect of coarse-grained materials. Nanjing: Hohai University . (in Chinese)
   Google Scholar
• Xu, Z., & Deng, G. (2008). Development of high CFRD and key technologies for building super-high CFRD. Journal of Hydraulic Engineering, 39, 1226–1234 . (in Chinese)
   Google Scholar
• Yang, G., Liu, H., & Chen, Y. (2009). Scale effect on dynamic deformation properties of rock-fill materials. Journal of Hydroelectric Engineering, 28, 122–126 . (in Chinese)
   Google Scholar
• Yang, P., Luo, Y., & Shi, Y. (1993). The soil fractal properties of soil aggregate-size distributions calculated by mass. Chinese Science Bulletin, 38, 1896–1899 . (in Chinese)
   Google Scholar
• Yang, Z., Zhou, J., Jiang, G., & Sui, Y. (2011). Development of concrete faced rockfill dam in China. Water Power, 37, 0018–0023 . (in Chinese)
   Google Scholar
• Yu, Y., Xie, L., & Zhang, B. (2005). Stability of earth–rockfill dams: Influence of geometry on the three-dimensional effect. Computers and Geotechnics, 32, 326–339.
   Web of Science ®Google Scholar
• Zhu, S., Feng, Y. M., Feng, S. R., &. Chen, W. Y. (2012). Particles gradation optimization of blasting rockfill based on fractal theory. Wuhan: Advanced research on material engineering architectural engineering and information, advanced materials research, 366, 469–473.
   Google Scholar
• Zhu, S., Wang, Y., & Weng, H. (2011). Study of scale effect of density of coarse-grained dam materials. Chinese Journal of Rock Mechanics and Engineering, 30, 0348–0357 . (in Chinese)
   Google Scholar