We introduce a spectral-element method for modeling wave propagation in med
ia with both fluid (acoustic) and solid (elastic) regions, as for instance
in offshore seismic experiments. The problem is formulated in terms of disp
lacement in elastic regions and a velocity potential in acoustic regions. M
atching between domains is implemented based upon an interface integral in
the framework of an explicit prediction-multicorrection staggered time sche
me. The formulation results in a mass matrix that is diagonal by constructi
on. The scheme exhibits high accuracy for a 2-D test case with known analyt
ical solution. The method is robust in the case of strong topography at the
fluid-solid interface and is a good alternative to classical techniques, s
uch as finite differencing.