Seismic displacement prediction methods, procedure, comparison and application

The methodology in the seismic design of slopes has evolved with technological advancement and the development of geotechnical engineering, methods with great limitations such as pseudostatic analysis to rigorous methods that require a lot of information for a better understanding of the behavior of the soil such as the dynamic analysis. This article develops the procedure, comparison and application of simplified earthquake-induced displacement methods, which are the Newmark method (1965), the Makdisi & Seed method (1978), the Bray and Travasarou method (2007), and the method of Bray, Macedo and Travasarou (2018). Each of these methods of simplified earthquake-induced displacements is associated with a model that explains the behavior of the sliding mass, of which the rigid block model, the decoupled model and the coupled model are analyzed in this article. As an applicative case, an earthen dam with rocky and central core 50 m high placed in sandstone strata and moraine deposits interspersed with shale intrusions is shown, as seismic consideration the Lima 1974 earthquake, the Attic 2001 earthquake and the earthquake were used. of Pisco 2007, considering both NS and EW directions. Likewise, the response spectrum on the fault surface, resulting from a response analysis to 3 columns in the dam, is considered as information. The methods of Newmark (1965), Makdisi & Seed (1978), Bray and Travasarou (2007), and Bray, Macedo and Travasarou (2018) were applied, obtaining deformation results between 1 to 10 cm that according to their order of magnitude represent a stable condition for the dam.