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BRAY, RATHJE, AUGELLO AND MERRY D Seismic Design for Lined Solid-Waste Landfills <br />225GEOSYNTHETICS INTERNATIONAL S 1998, VOL. 5, NOS. 1-2 <br />MHATop to account for2-Deffects. Forseismic loading ofthe entire cover slope, use <br />MHEACover =0.65MHATop to account for incoherence. <br />3.3.3 Calculate Seismic Stability <br />Calculate Newmark seismic displacements (or calibrated pseudo-static FS). <br />(a) Seismically induced permanent deformation analysis: <br />1. Calculate the yield acceleration coefficient,ky , for potential sliding masses (i.e. <br />seismic coefficient that resultsin apseudo-static FS = 1.0).Estimate ky at thecov- <br />er and base for generalized landfill systems using Equation 1and 2, respectively. <br />Otherwise, use a limit equilibrium slope stability program which has a method <br />that satisfies full equilibrium, such as Spencer, Morgenstern and Price, or Gen- <br />eralized Janbu. The unit weight and strength of the municipal solid-waste and <br />geosynthetic interface strengths can be estimated using the summary data pro- <br />vided in Sections 2.4 and 2.5. <br />2. Base sliding: Estimate the displacements,U, at the base given the estimates of <br />ky /kmax ,kmax ,andD5-95 (Figure 11). Note that kmax =MHEABase /g for base sliding. <br />Use the median and 16% probability of exceedance lines. <br />3. Cover sliding: Estimate the displacements,U, at the cover given the estimate of <br />ky /kmax and Mw (Figure12).Use kmax =MHEACover /g,withtheappropriate MHEACover <br />value for either localized cover sliding or sliding along the entire cover. <br />4. Other cases: Estimate range of displacements,U, from Figure 11, given the <br />MHEA estimate from Figure 6 where H is equal to the depth of sliding. <br />(b) Alternative calibrated base and cover pseudo-static stability analyses: <br />Select the limiting displacement level with the corresponding reduction factor,R, <br />for base and cover sliding, with R =ky /kmax at the selected displacement. Use RC = <br />0.6, 0.8, or 1.0 for the limiting cover displacements of < 300 mm, < 75 mm, or < <br />20 mm, respectively. Use RB = 0.6, 0.8, or 1.0 for limiting base displacements of < <br />150 mm, < 50 mm, or < 10 mm, respectively. Apply (RC )(MHEACover)/g as the seis- <br />mic coefficient,k, to a shallow cover failure mass and calculate the pseudo-static <br />FS. For base sliding, use k =(RB )(MHEABase)/g.IfFS > 1, displacement is likely to <br />belessthanthecorresponding limiting displacement value (i.e. there isa 10%prob- <br />ability of exceedance). <br />3.3.4 Evaluate Seismic Stability <br />Given the seismic displacement estimates (i.e. small (< 25 to 50 mm), moderate (< <br />150to 300mm), orlarge (> 0.3to 1m) displacements), evaluate theability ofsensitive <br />landfill wastecontainment componentstoaccommodate thislevelofdeformation. Pen- <br />etrations (e.g. vents and leachate sump risers) and changes in geometry (e.g. side liner <br />to base liner transition) are potentially vulnerable. Cover systems are more easily re- <br />paired than base systems, and hence, they have a lessstringent designlevel. Theconse- <br />quences offailure and conservatism ofthe hazard assessment and stability analysis are <br />important designconsiderations. Defensive measures that “shield” critical components <br />Calculate Newmark seismic displacements (or calibrated pseudo-static FS). <br />3.3.4 Evaluate Seismic Stability