Sound attenuation has been solely used to estimate bubble size distribution
s of bubbly water in the conventional acoustic bubble sizing methods. These
conventional methods are useful for the void fraction around 10(-6) or low
er. However, the change of compressibility in the bubbly water also should
be considered in bubble sizing for the void fraction around 10(-5) or highe
r. Recently, the sound speed as well as sound attenuation was considered fo
r acoustic bubble size estimation in bubbly water. In this paper, the sound
speed estimated from sound attenuation in bubbly water by an iterative met
hod is used for a bubble counting. This new iterative inverse bubble sizing
technique is numerically tested for bubble distributions of single-size, G
aussian, and power-law functions. The numerical simulation results are in a
greement with the given bubble distributions even for the high void fractio
ns of 10(-4)-10(-3). It suggests that the iterative inverse technique can b
e a very powerful tool for practical use in acoustic bubble counting in the
ocean.