1970
DOI: 10.1111/j.1365-246x.1970.tb01773.x
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A Method for Calculating the Output Pressure Waveform from an Air Gun

Abstract: The signal from an air gun is assumed to behave as if it were derived from an oscillating spherical air bubble in water. The theory of the oscillations of spherical bubbles according to Gilmore is used in conjunction with experimental evidence to derive the complete set of equations necessary to calculate the shape of the radiated pressure waveform anywhere in the water. It is believed that this method will be useful in the design of signal processing techniques and also to improve the design of existing air g… Show more

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Cited by 141 publications
(92 citation statements)
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“…Furthermore, we also observe that there is a time delay of approximately 1 ms between the 6.5 and 8 m separation distances. To investigate this issue in more detail, we performed a simple source modeling study using the method described in Ziolkowski (1970). The modeling example (not identical to the experiment, but very similar, so it is used for the purpose of illustrating the effect) in Figure 5 confirms these observations: The time window for when cavity production is possible is shifted and reduced in length as the separation distance is increased.…”
Section: Ghost Cavitation Versus Source Separation Distancementioning
confidence: 59%
See 1 more Smart Citation
“…Furthermore, we also observe that there is a time delay of approximately 1 ms between the 6.5 and 8 m separation distances. To investigate this issue in more detail, we performed a simple source modeling study using the method described in Ziolkowski (1970). The modeling example (not identical to the experiment, but very similar, so it is used for the purpose of illustrating the effect) in Figure 5 confirms these observations: The time window for when cavity production is possible is shifted and reduced in length as the separation distance is increased.…”
Section: Ghost Cavitation Versus Source Separation Distancementioning
confidence: 59%
“…A more realistic modeling for the actual configuration used in the field experiment is presented in Figure 6, where we observe a 3D version of the "cavity cloud" surrounding the gun array. In this figure, we have used conventional air-gun modeling (Ziolkowski, 1970) to estimate volumes in the water column, in which the modeled pressure is below a certain threshold. There are also source modeling approaches for generator injector guns (Landrø, 1992) and water guns (Landrø et al, 1993) Figure 2.…”
Section: Ghost Cavitation Versus Source Separation Distancementioning
confidence: 99%
“…An airgun array usually contains airgun elements with different volumes, which produce sound pulses with different amplitudes, damping rates and bubble pulse periods (Ziolkowski, 1970). This variability makes airgun array signature modeling complex and difficult.…”
Section: Alrgun Array Beampattern Modelmentioning
confidence: 99%
“…Using this model, we calculated the acoustic pressure at a certain radius from the array and normalized it to obtain an estimate of the source beampattern. The airgun elements in this model were treated as monopole sources with a single impulse, while real airgun pulses include a series of bubble pulses (Ziolkowski, 1970). However, the model could still predict the locations of spatial and frequency notches in the airgun array beampattern, since notch locations are mainly determined by the geometric configuration of the array (Parkes and Hatton 1986, Tipler and Llewellyn 2003).…”
Section: Alrgun Array Beampattern Modelmentioning
confidence: 99%
“…The empirical relations between these factors and the characteristics of airgun signatures (e.g., the amplitude of primary pulse, the period of bubble pulse and the primary-to-bubble amplitude ratio) have already been drawn. On the theoretical side, the seismic signatures from ocean used airguns and airgun arrays can be calculated numerically based on the free bubble oscillation theory (Ziolkowski 1970;Schulze-Gattermann 1972;Safar 1976;Cox et al 2004;Li et al 2011).…”
Section: Introductionmentioning
confidence: 99%