Modified Newmark Model for Seismic Displacements of Compliant Slopes
Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 123, Issue 7
Abstract
Newmark sliding block analyses are widely used for estimation of permanent displacements of slopes in earthquakes. The conventional Newmark model, however, neglects the dynamic response of the material above a potential failure surface. Decoupled procedures have been developed to account for that response, but they neglect the effects of permanent displacements on the response. A modified Newmark analysis that considers the dynamic response, including the effects of permanent displacements, of the material above the failure surface is presented. The modified Newmark analysis shows that the decoupled approach produces somewhat conservative estimates of permanent displacements for stiff and/or shallow failure masses, but that it may produce unconservative estimates for failure masses that are soft and/or deep. Many slopes of large, lined landfills may fall into this latter category. The notion of a slope spectrum, which illustrates the effect of the natural period of a potential failure mass on permanent slope displacement, is also introduced.
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References
1.
Ambraseys, N. N.(1960). “On the shear response of a two-dimensional truncated wedge subjected to an arbitrary disturbance.”Bull. Seismological Soc. of Am., 50(1), 45–56.
2.
Anderson, D. G., Hushmand, B., and Martin, G. R. (1992). “Seismic response of landfill slopes.”Proc., ASCE Spec. Conf. on Stability and Perf. of Slopes and Embankments—II, ASCE, New York, N.Y., Vol. 2, 973–989.
3.
Augello, A. J., Bray, J. D., Leonards, G. A., Repetto, P. C., and Byrne, R. J. (1995). “Response of landfills to seismic loading.”Proc., Geoenvironment 2000, ASCE, New York, N.Y., Vol. 2, 1051–1065.
4.
Bove, J. A. (1990). “Direct shear friction testing for geosynthetics in waste containment.”Geosynthetic testing for waste containment applications, ASTM STP 1081. ASTM, West Conshohocken, Pa., 241–256.
5.
Bray, J. D., Augello, A. J., Leonards, G. A., Repetto, P. C., and Byrne, R. J.(1995). “Seismic stability procedures for solid-waste landfills.”J. Geotech. Engrg., ASCE, 121(2), 139–151.
6.
Bray, J. D., and Repetto, P. C.(1994). “Seismic design considerations for lined solid waste landfills.”Geotextiles and Geomembranes, 13, 497–518.
7.
Bray, J. D., Repetto, P. C., Augello, A. J., and Byrne, R. J. (1993). “An overview of seismic design issues for solid waste landfills.”Proc., Geosynthetics Res. Inst. Conf. No. 7, Drexel Univ., Philadelphia, Pa.
8.
Byrne, R. J., Kendall, J., and Brown, S. (1992). “Cause and mechanism of failure, Kettleman Hills Landfill B-19, Unit 1A.”Proc., ASCE Spec. Conf. on Perf. and Stability of Slope and Embankments—II, ASCE, New York, N.Y., Vol. 2, 1188–1215.
9.
Chopra, A. K. (1966). “Earthquake effects on dams,” PhD dissertation, Univ. of California, Berkeley, Calif.
10.
Clough, R. W., and Penzien, J. (1975). Dynamics of structures. McGraw-Hill Inc., New York, N.Y.
11.
Earth Technology Corporation. (1988). “Instability of landfill slope, Puente Hills landfill, Los Angeles County, California.”Rep. No. 88614-1, The Earth Technology Corporation, Long Beach, Calif.
12.
Gazetas, G., and Uddin, N.(1994). “Permanent deformation on preexisting sliding surfaces in dams.”J. Geotech. Engrg., ASCE, 120(11), 2041–2061.
13.
Hynes-Griffin, M. E., and Franklin, A. G. (1984). “Rationalizing the seismic coefficient method.”Miscellaneous Paper GL-84-13, U.S. Army Corps of Engineers, Vicksburg, Miss.
14.
Idriss, I. M., Giegel, G., Hudson, M. B., Mundy, P. K., and Herzig, R. (1995). “Seismic response of the Operating Industries Landfill.”Earthquake resistant design and performance of solid waste landfills, Geotechnical Special Publication No. 54, ASCE, New York, N.Y., 83–118.
15.
Kavazanjian, E. (1993). “SASW testing at solid waste landfill facilities.”Proc., NSF Workshop on Seismic Des. of Solid Waste Landfills, Univ. of Southern Calif., Los Angeles, Calif.
16.
Kavazanjian, E., and Matasovic, N. (1995). “Seismic analysis of solid waste landfills.”Proc., Geoenvironment 2000, ASCE, New York, N.Y., Vol. 2, 1066–1081.
17.
Kavazanjian, E., Bonaparte, R., Johnson, G. W., Martin, G. R., and Matasovic, N. (1995a). “Hazard analysis of a large regional landfill.”Earthquake design and performance of solid waste landfills, Geotechnical Special Publication No. 54, ASCE, New York, N.Y., 119–141.
18.
Kavazanjian, E., Matasovic, N., Bonaparte, R., and Schmertmann, G. R. (1995b). “Evaluation of MSW properties for seismic analysis.”Proc., GeoEnvironment 2000, ASCE, New York, N.Y., Vol. 2, 1126–1141.
19.
Kramer, S. L., Von Laun, F.-Y., and Sivaneswaran, N.(1992). “Strain-controlled, variable frequency cyclic loading system for soft soils.”Geotech. Testing J., 15(3), 264–270.
20.
Lin, J.-S., and Whitman, R. V.(1983). “Decoupling approximation to the evaluation of earthquake-induced plastic slip in earth dams.”Earthquake Engrg. and Struct. Dyn., 11(5), 667–678.
21.
Makdisi, F. I., and Seed, H. B.(1978). “Simplified procedure for estimating dam and embankment earthquake-induced deformations.”J. Geotech. Engrg. Div., ASCE, 104(7), 849–867.
22.
Marcuson, W. F. III. (1981). “Moderator's report for session on `Earth dams and stability of slopes under dynamic loads.”Proc., Int. Conf. on Recent Adv. in Geotech. Earthquake Engrg. and Soil Dyn., Univ. of Missouri, St. Louis, Mo., Vol. 3.
23.
Mitchell, J. K., Seed, R. B., and Seed, H. B.(1990). “Kettleman Hills waste landfill slope failure. I: Liner system properties.”J. Geotech. Engrg., ASCE, 116(4), 669–690.
24.
Negussey, D., Wijewickreme, W. K. D., and Vaid, Y. P.(1989). “Geomembrane interface friction.”Can. Geotech. J., Ottawa, Canada, 26(1), 165–169.
25.
Newmark, N.(1965). “Effects of earthquakes on dams and embankments.”Géotechnique, London, England, 15(2), 139–160.
26.
Orman, M. E.(1994). “Interface shear-strength properties of roughened HDPE.”J. Geotech. Engrg., ASCE, 120(4), 758–761.
27.
O'Rourke, T. D., Druschel, S. J., and Netravali, A. N.(1990). “Shear strength characteristics of sand polymer interfaces.”J. Geotech. Engrg., ASCE, 116(3), 451–469.
28.
Repetto, P. C., Bray, J. D., Byrne, R. J., and Augello, A. J. (1993a). “Seismic analysis of landfills.”Progress in geotechnical engineering practice. ASCE Central Pennsylvania Section, Hershey, Pa.
29.
Repetto, P. C., Bray, J. D., Byrne, R. J., and Augello, A. J. (1993b). “Applicability of wave propagation methods to the seismic analysis of landfills.”Proc., WasteTech93. National Solid Waste Management Association, Los Angeles, Calif.
30.
Seed, H. B.(1979). “Considerations in the earthquake-resistant design of earth and rockfill dams.”Géotechnique, London, England, 29(3), 215–263.
31.
Seed, H. B., and Martin, G. R.(1966). “The seismic coefficient in earth dam design.”J. Soil Mech. and Found. Div., ASCE, 92(3), 25–58.
32.
Seed, R. B., Mitchell, J. K., and Seed, H. B.(1990). “Kettleman Hills waste landfill slope failure. II: Stability analyses.”J. Geotech. Engrg., ASCE, 116(4), 647–668.
33.
Sharma, H. D., Dukes, M. T., and Olsen, D. M. (1990). “Field measurements of dynamic moduli and Poisson's ratios of refuse and underlying soils at a landfill site.”Geotechnics of waste fills—theory and practice, ASTM STP 1070, ASTM, West Conshohocken, Pa., 259–284.
34.
Singh, S., and Murphy, B. (1990). “Evaluation of the stability of sanitary landfills.”Geotechnics of waste fills—theory and practice, ASTM STP 1070, ASTM, West Conshohocken, Pa., 240–258.
35.
Stark, T. D., and Poeppel, A. R.(1994). “Landfill liner interface strengths from torsional-ring-shear tests.”J. Geotech. Engrg., ASCE, 120(3), 597–615.
36.
Stewart, J. P., Bray, J. D., Seed, R. B., and Sitar, N. (1994). “Preliminary report on the principal geotechnical aspects of the January 17, 1994 Northridge earthquake.”Rep. No. UCB/EERC-94/08, Earthquake Enpgineering Research Center, Univ. of California, Berkeley, Calif.
37.
Terzaghi, K. (1950). “Mechanisms of landslides.”Engineering geology (Berkey) volume, Geological Society of America, Boulder, Colo., 83–123.
38.
USCOFR. (1991). Protection of the environment; part 256; subtitle D; solid waste disposal facility criteria.”Title 40, U.S. Code of Federal Regulations, U.S. Environmental Protection Agency, Washington, D.C.
39.
Westermo, B., and Udwadia, F.(1983). “Periodic response of a sliding oscillator system to harmonic excitation.”Earthquake Engrg. and Struct. Dyn., 11(1), 135–146.
40.
Yegian, M. K., and Lahlaf, A. M.(1992). “Discussion of `Kettleman Hills Waste Landfill slope failure. I: Liner-system properties,' by J. K. Mitchell et al.”J. Geotech. Engrg., ASCE, 118(4), 643–645.
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Published In
Journal of Geotechnical and Geoenvironmental Engineering
Volume 123 • Issue 7 • July 1997
Pages: 635 - 644
Copyright
Copyright © 1997 American Society of Civil Engineers.
History
Published online: Jul 1, 1997
Published in print: Jul 1997
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