Several acoustic experiments show a surprising degree of stability in wave
fronts propagating over multi-megameter ranges through the ocean's sound ch
annel despite the presence of random-like, sound-speed fluctuations. Previo
us works have pointed out the existence of chaos in simplified ray models i
ncorporating structure inspired by the true ocean environment. A ''predicta
bility horizon'' has been introduced beyond which stable wavefronts cease t
o exist and point-wise, detailed comparisons between even the most sophisti
cated models and experiment may be limited for fundamental reasons. By appl
ying one of the simplified models it is found that, for finite ranges, the
fluctuations of the ray stabilities are very broad and consistent with log-
normal densities. A fraction of the ray density retains a much more stable
character than the typical ray. This may be one of several possible mechani
sms leading to greater than anticipated sound-field stability. The log-norm
al ray stability density may underlie the recent, experimentally determined
, log-normal density of wave-field intensities [Colosi et al., J. Acoust. S
ec. Am. 105, 3202-3218 (1999)]. (C) 2001 Acoustical Society of America.