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' Spencer's method was used as the search technique to determine the factor of safety of the <br />embankment in this stability analysis. This method is considered the most adequate because it <br />' satisfies all conditions of static equilibrium and provides a factor of safety based on both force and <br />moment equilibrium. <br />' 8.2.3.1 Existing Conditions <br />Cross-Sections B and C were modeled using the existing geometry. Both USSA and ESSA modeling <br />scenarios were performed. <br />Only the static analysis was performed for the dam for existing conditions. No seismic analysis was <br />performed as it was only necessary to show that the proposed geometry exhibited an adequate factor <br />of safety under seismic loading. <br />The porewater pressures used in modeling were those from the seepage model calibration based on <br />piezometer measurements from July 21, 2006. <br />8.2.3.2 Proposed Conditions <br />The proposed modifications to the dam include: <br />• Adding a buttress on the downstream face of the dam. This will add weight at the toe of the <br />dam. Also, a pervious drainage blanket will be installed underneath the buttress material to <br />prevent high porewater pressures from accumulating. <br />• Placing an upstream clay blanket that will act to limit seepage into the higher permeability <br />"soft sediment" layer and lower porewater pressures throughout the dam. <br />• Installing trench drains through the bench that makes up the downstream portion of the left <br />abutment. The trenches will be excavated to 25 feet deep and backfilled with freely draining <br />material. The trenches will act to draw down water levels within the dam. Because the <br />trenches will only be installed on the left abutment, they were only included in the model at <br />Cross-Section C. <br />In addition to the static analysis of the proposed geometry and groundwater conditions, a seismic <br />analysis was performed using the pseudo-static approach. <br />Furthermore, a rapid drawdown stability analysis was also performed on the upstream face of the <br />' dam. The seepage portion of the rapid drawdown analysis, also referred to as a transient analysis, is <br />described in Section 8.1. The limit equilibrium calculations were performed for the August 28, 2006, <br />t reading when the reservoir had just emptied completely. This is assumed to be the most critical <br />moment at which the factor of safety reaches a minimum value. It should be noted that the USSA <br />strength parameters were used for all materials except for the "soft sediment". The drained strength <br />P:\Mpls\06 CO\26\0626067\WorkFiles\DesignReport\FINAL\DesignReportFINAL.doc <br />30 <br />