I once wrote a literature review for grad school on (dynamic) slope stability methods -- and included some research on submarine slopes.
It probably isn't much of a leg up (more academic than practical), but might be a start.
I referenced the following papers:
Azizian A and Popescu R. Three-dimensional seismic analysis of submarine slopes. Soil Dynamics and Earthquake Engineering 2006;26;870-887.
Biondi G, Cascone E, Maugeri M, Motta E. Seismic response of saturated cohesionless slopes. Soil Dynamics and Earthquake Engineering 2000;20:209-215.
Biondi G, Cascone E, Maugeri M. Flow and deformation failure of sandy slopes. Soil Dynamics and Earthquake Engineering 2002;22:1103-1114.
Biscontin G, Pestana JM, Nadim F. Seismic triggering of submarine slides in soft cohesive soil deposits. Marine Geology 2004;203:341-354.
Dan G et al. Quantifying the role of sandy-silty sediments in generating slope failures during earthquakes; example from the Algerian margin. Int. Journal of Earth Science 2009;98:769-789.
Wright SG and Rathje EM. Triggering Mechanisms of Slope Instability and their Relationship to Earthquakes and Tsunamis. Pure and Applied Geophysics 2003;160:1865-1877.
From the little commentary I made in my notes at the time, I'd expect the Biondi papers to be most relevant for practical work -- sounds like it was an extension of Newmark's method.