“…Seismologists have created 3D Earth models (Magistrale et al, 1996;Magistrale et al, 2000;Kohler et al, 2003;Süss and Shaw, 2003;Prindle and Tanimoto, 2006;Tape et al, 2009;Ely et al, 2010;Tape et al, 2010;Plesch et al, 2011) of seismic-wave speeds and density, and thanks to the advent of parallel computing now have the ability to study 3D global and regional seismic-wave propagation using approaches based, for instance, on the finite-element and the finite-difference methods (e.g., Heaton et al, 1995;Olsen et al, 1995;Bao et al, 1998;Graves 1998;Akçelik et al, 2003;Komatitsch et al, 2004;Liu et al, 2004;Komatitsch et al, 2010;Komatitsch, 2011;and similar references). Our approach to numerically propagating seismic waves is based on the spectral-element method (Komatitsch and Tromp 1999;Tromp et al, 2008) and accounts for 3D variations of seismic-wave speeds and density, topography and bathymetry, and attenuation.…”