Abstract

I would like to make two comments regarding the discussion on interaction between air bubbles given by Ziolkowski et al. The first concerns their statement that their approach for treating interaction is exactly the same as my approach (Safar, 1976), namely, that interaction is treated as a modulation of the hydrostatic pressure just outside the air bubbles. I would like to emphasize that, in fact, this was the approach used by Giles and Johnston (1973) and not the approach that I used in my paper.

Since the problem of interaction between seismic sources forming an array is of considerable importance from the operational viewpoint, I give a summary of the analysis which I gave in my paper. Consider the case of two identical air guns placed at the same depth. When only one gun is fired, one air bubble is produced. From Newton's third law, the effective pressure acting on the pulsating air bubble is not equal to the hydrostatic pressure as was stated by Ziolkowski et al., but equal to the hydrostatic pressure Ph plus the dynamic pressure exerted by the surrounding water which is given by  
v.(t)×zr(t),
(1)
where the dot denotes differentiation with respect to time t, v(t) and zr(t) are the air bubble instantaneous volume and radiation impedance.
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