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x. <br />Mr. Jim Mattern <br />July 6, 2006 <br />Page 4 <br />Table 3. Assumed Soil Properties Representative for Deal Gulch Impoundmeut <br />Sample Yomg's Poisson's Frictlon Cohesion Tensile <br />Modulus Rstio Angle (ps0 (psl) <br />Compacted Partially 250 0.20 29.7 72 0 <br />Saturated Dam Material <br />Compacted Saturated Dam 250 0.20 29.7 72 0 <br />Material <br />Subgrade Foundation 250 0.20 27 0 0 <br />Partially Saturated <br />Material <br />Subgrade Foundation 250 0.20 27 0 0 <br />Saturated Material <br />Two geometries were analyzed for assessing overall stability of the dam An 8-ft-high <br />dam with 5-ft water in the impoundment was considered as the base case. A second analysis was <br />performed assuming a 12-ft dam height with a water impoundmem height of 9 ft. The geometry <br />analyzed for these two sections is shown in Figure 4. The upstream embanlanent has a design <br />slope of 2H:1 V and the downstream embankmem has a design slope of 3H:1 V. <br />The upstream and downstream boundazies of the model were located 80 ft from the <br />centerline of the embankment, and it was assumed that this was sufficient that no lateral <br />displacement would occur at the boundary. The effect of the impounded water was applied to <br />the model as a water pressure on the base of the pond and along the upstream dam face to <br />simulate the 5-ft and 9-ft water depth, respectively. Water seepage was not directly computed. <br />Rather, a phreatic surface extending from the upstream impoundment elevation sloping <br />downstream to 1 ft above the downstream toe was applied as a water pressure condition. This is <br />a conservative estimate of the steady-state water level within the embanlmtem tmteriaL <br />The factor of safety was estimated by comparing the soil strength at equilibrium to the <br />strength at the limit of equilibrium. Initial stresses were applied, and the model was run umil <br />stresses and displacements cease to change, thus, the equilibrium condition. The simulation of <br />equilibrium used the mechanical properties from Table 3. The limit of equilibrium was <br />simulated by gradually reducing the cohesion and friction until the embankment did not come to <br />an equilibrium condition. That condition is known as the failed state. Failure state of the model <br />was cross-checked using several criteria (e.g., maximum out-of-balance force ratio, maximum <br />velocity ratio, and maximum velocity). The criteria producing the lowest factor of safety have <br />been reported. <br />EXPECTED SLOPE STABILITY <br />The model resuhs indicate that the designed embankment is stabile by coming to an <br />equilibrium condition. Figure 5 illustrates that there aze no tension regions within the <br />embankment for 8-ft-high dam The figure also shows the water table and disaetization of the <br />model. No tension regions aze expected in the 12-ft embanlmtem section either. Figure 6 <br />Agapito Associates, Inc. <br />