Open burn-open detonation rocket motor disposal explosions conducted at the Utah Test and Training Range of Hill Air Force Base are delayed until proper weather conditions are present. These nominal conditions are an eastward-directed sound velocity versus height gradient that refracts airblast upward, away from the ground. Such weather conditions generally attenuate airblasts propagated at ground level, cause minimal disturbance to their neighborhoods, and are usually acceptable to explosion testers. These types of noise propagations have, thus, been mostly ignored in studies of nuisance airblast propagations. However, there are some cases where attenuated propagations shadowed either by atmospheric refraction effects or by terrain barriers can be of concern. Consequently, this paper attempts to develop a better understanding of wave diffraction, scattering, or diffusion into such shadow zones.