“…SFFM have predominantly been developed in the seismological literature to provide synthetic slip distributions for ground motion modeling [ Herrero and Bernard , ; Somerville et al , ; Mai and Beroza , ; Gallović and Brokešová , , ; Lavallee et al , ; Causse et al , , ]. Many can be grouped into the k −2 SFFM family, where for high enough wave numbers the slip distributions' amplitude spectrum decays inversely with the square of the wave number [ Andrews , , ; Herrero and Bernard , ; Bernard et al , ; Somerville et al , ; Mai and Beroza , ; Gallović and Brokešová , , ; Causse et al , , ]. Several k −2 SFFM have been shown to be theoretically consistent with the observed ω −2 spectral decay of far‐field displacements [ Aki , ] given particular assumptions about the rupture rise time and propagation speed [ Andrews , , ; Herrero and Bernard , ; Bernard et al , ; Gallović and Brokešová , ].…”