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April 21, 2020 Page 3 <br />clay -sized particles in the spoils. An average cohesion value of 475 pounds per square foot (psf) <br />and friction angle of 34' were selected to be representative of the N-Strike Pit spoils, which were <br />the lower of the peak and residual (post -peak) shear strength parameters obtained from the LSDS <br />tests. It needs be pointed out that the LSDS test apparatus, even with its relatively large 12-inch X <br />12-inch X 6-inch (length -width -height) mold compared to conventional direct shear testing <br />machines, excludes particles larger than 2 inches. The implication is that the shear strength is likely <br />to be greater with the inclusion of the coarser and boulder -sized particles that make up typical spoil <br />materials. However, the above -mentioned cohesion (475 psf) and friction angle (34°) were <br />assumed to be representative of the new as well as old spoils. This lends another level of <br />conservatism to this study, given the new spoils in the proposed pile are likely to possess slightly <br />greater shear strength compared to the old spoils that have been characterized, given the level of <br />weathering in the latter. <br />Following laboratory characterization of the spoils, AAI utilized a newly developed <br />approach to assign strength parameters to zones within the spoil pile depending on their relative <br />depths of confinement. This approach has been developed based on several recent studies on <br />spatial variability of spoil shear strength parameters based on constituent rocks, particle size, and <br />even the deposition location within a spoil pile.1,2 Since the proposed spoil pile will be built in <br />relatively smaller benches 25 ft thick, it is expected that little density- or size -based segregation <br />will occur within each bench. Therefore, each bench of spoils was assumed to have the same <br />strength properties, while the bench -to -bench strength parameters were varied. Barton and <br />Kj aernsli have demonstrated that the effective friction angle of rockfill will decrease with greater <br />confining stress and have provided a methodology for estimating variable friction angles within a <br />spoil pile, based on laboratory determined friction angle values.' This counter -intuitive <br />phenomenon is explained by the fact that the failure behavior of rockfill/spoils is guided by coarse - <br />grained particles in the matrix at low confining stresses and fine-grained particles at higher <br />confining stresses. Therefore, the friction angle values for the deeper benches, with higher <br />confining stresses, were estimated by reducing the base friction angle value (34°) assigned to the <br />uppermost bench of new spoils. <br />Additionally, the deformation moduli for the deeper benches were estimated using an <br />empirical approach provided by Seed and Idriss,' which positively correlates the deformation <br />modulus to confining stresses in the spoils matrix. The cohesion values for all new spoil benches <br />were kept constant at 475 psf. Cohesion values of end -dumped spoils vary with depth, but those <br />of constructed piles may be assumed to be constant. Cohesion, friction angle, and deformation <br />moduli for the old spoils currently deposited in the old I -Seam cuts were varied using the <br />methodologies described above, as in -pit spoils tend to segregate based on particle size and density <br />differences. The rock mass underneath and surrounding both the old and new spoils were assigned <br />one set of ubiquitous jointed material properties, for efficiency of numerical modeling. A <br />summary of material strength parameters used in the numerical modeling analysis is presented in <br />Table 1. <br />' Moffitt, Karen (2000), "Mine Waste Dump Instability," Masters Thesis, University of Toronto, April, 106 pp. <br />Bradfield, Leonie (2018), "Reliable Shear Strength Estimation for Very -High Spoil Dumps," PhD Thesis, The <br />University of Newcastle, Australia, 153 pp. <br />s Barton, Nick and Bjorn Kjaernsli (1981), "Shear Strength of Rockfill," Journal of the Geotechnical Engineering <br />Division, Proceedings of the American Society of Civil Engineers, 107(GT7):873-891. <br />a Seed, H. Bolton and L M. Idriss (1970), "Soil moduli and damping factors for dynamic response analyses," Rep. No. <br />EERC-70/10, Earthquake Eng. Research Center, Univ. of California at Berkeley, Berkeley, California. <br />Agapito Associates, Inc. <br />