“…Knowing that the highly dispersive trapped wave properties may turn out to be important in various studies involving seismic propagation in the presence of subsurface fractures and faults, e.g., fracture width monitoring via borehole tube wave reflections Kostek et al 1989) or fracture length assessment from tip reflections (Paige et al 1992;Henry 2005), as well as in subsurface-feature resonance calculations (Chouet 1981;Ferrazini and Aki 1987). In addition, measuring a trapped-mode phase speed and attenuation via subsurface seismic stations proximate to a fault may be an input for the validation of fault properties, including its aperture and the surrounding medium permeability (Nagano and Niitsuma 1996;Korneev, Parra, and Bakulin 2005;Korneev, Bakulin, and Ziatdinov 2006). In reality, no subsurface feature is a perfect slot of a constant aperture; one can reasonably assume, however, that our formulae are applicable asymptotically as long as wavelength is much larger than the asperity and inflection lengthscale.…”