“…Researchers and practitioners have approached the problem of topographic effects from four primary avenues: (1) field observations of earthquake damage patterns and strong motion recordings (Hough et al 2011, Rathje et al 2011, Assimaki and Gazetas 2004, Athanasopoulos et al 1999, Athanasopoulos et al 2001, Ashford and Sitar 1994, Celebi 1987, 1991, Boore 1972); (2) experimental studies using arrays of sensors placed strategically on topography to record aftershocks or other weak-motion data (Massa et al 2011, 2014, Barani et al 2014, Hartzell et al 2014, Formisano et al 2012, Marzorati et al 2011, Buech et al 2010, Graizer 2009, Stewart and Sholtis 2005, Caserta et al 2000, Davis and West 1973); (3) theoretical and analytical estimates of frequency content and amplification for simple two-dimensional (2-D) cross sections (Paolucci 2002, Ashford and Sitar 1997, Sanchez-Sesma 1985); and (4) numerical modeling of 2-D (Assimaki and Jeong 2013, Lovati et al 2011, Maufroy et al 2012, Lee et al 2009, Bakavoli et al 2011) and three-dimensional (3-D) (Bakavoli et al 2011, Lovati et al 2011, Assimaki and Kausel 2007, Assimaki et al 2005, Ashford et al 1997, Geli et al 1988, Sanchez-Sesma et al 1982, Bouchon 1973) simplified topography. Although topographic amplification remains difficult to quantify for irregular 3-D topographic features, the previous studies on have revealed several key qualitative insights, originally summarized by Wood et al (2012): - The maximum amplification attributed to topography occurs at, or near, the peak/ridge of the feature, maximum de-amplification occurs near the toe/base of the feature, and irregular amplification/de-amplification patterns are observed between the two.
- The observed, or computed, amplification is related to the “sharpness” of the topography; the steeper the average slope, the higher the amplification.
- The amplifications are highly frequency-dependent and seem to occur at wavelengths comparable to a characteristic length of the feature, such as width and/or height.
- Amplific...
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