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FORWARD/AUSTIN LANDFILL <br />® CLASS H <br />SEISMIC INDUCED PERMANENT DISPLACEMENT EVALUATION <br />FINAL COVER <br />ff, L, i ! 11 <br />SITE CONDITION- DEEP COHESIONLESS <br />FILL HEIGHT, H - 160 ft. <br />AVERAGE SHEAR WAVE VELOCITY FOR FILL, VS - 1000 ft/sec <br />EARTHQUAKE MAGNITUDE for the MCE - 6.7 (associated with Great <br />Valley Fault at 21 miles) <br />MAXIMUM HORIZONTAL ROCK ACCELERATION, AR - 0.13g <br />NONLINEAR RESPONSE FACTOR (NRF) - 1.4 (for deep cohesionless soil <br />Profile from Bray & Rathje, 1998) <br />Thus, Site acceleration MHA = AR x NRF = 1.4x 0.13 = 0.18 g <br />SIGNIFICANT DURATION — D5-95 <br />YIELD ACCELERATION, ky <br />CALCULATION: <br />- —15.3 Sec (for the Mag. 6.7 <br />earthquake) <br />- 0.15g (from pseudo -static <br />analysis) <br />MEAN PERIOD OF SHAKING, for the MPE T,,, = 0.50 Sec. (Bray et al ,1998), <br />PREDOMINANT PERIOD OF FILL- T, = 41VVS <br />= 4x160/1000 = 0.64 sec <br />RATIO Ts/ Tm = 0.64/0.50 = 1.28 <br />RATIO MHEA/MHA = 0.95 (from Bray and Rathje (1998), Figure 8b for sand sites) <br />Where- MIIEA — Maximum Horizontal Equivalent Acceleration of the fill <br />MHA Maximum Horizontal Site Acceleration <br />Thus, MHEA = 0.95 x MHA <br />= 0.95x 0.18g = 0.17 <br />Ratio ky/ k,nax = 0.15/ 0.17 = 0.88 <br />or, kmar = 0.17 <br />From Figure 13 of Bray and Rathje (1998), estimated cover liner displacement is about 1 cm.. <br />