Acoustic wave propagation in air‐bubble curtains in water—Part II: Field experiment

Geophysics ◽  
1982 ◽  
Vol 47 (3) ◽  
pp. 354-375 ◽  
Author(s):  
S. N. Domenico

A field experiment consisted of hydrophone recordings in a pond, 25 ft deep, of signals transmitted through air‐bubble curtains from a water gun source. The air curtains issued from one to 13 pipes (20 ft long and spaced at 1.67 ft intervals). Air pressures used in the pipes were 15, 25, and 50 psi. Length and complexity of the signals indicate that reverberations occurred to an increasing extent as the number of consecutive air curtains was increased. Analysis of the first pulse in the recorded signals, after approximate removal of hydrophone and recorder response, indicates that the reverberations occur principally in the bubble‐free corridors between air curtains. This pulse broadens and its peak amplitude is delayed linearly as the number of successive air curtains is increased. The peak amplitude is decreased substantially by the first air curtain and thereafter remains between 0.1 and 0.2 of the amplitude without air curtains. The time delay increases measurably, whereas the amplitude appears insensitive to an increase in air pressure. Width of the bubble‐free corridor, velocity in the air curtains, and reflection coefficient at the air curtain/corridor interface were determined for each of the three air pressures from signal onset times and delay time of the first pulse peak amplitude. The corridor width was approximately three times the air curtain width and did not appear to vary with air pressure. Traveltime in the air curtain, however, increased with air pressure and was from three to four times the traveltime in the corridor. Reflection coefficients ranged from about 0.75 at 15 psi to 0.82 at 50 psi. These data were used to predict, successfully, times of multiple reflections between the outer interfaces of the outermost air curtains. Plane‐wave synthetic signals, based on absorptionless models simulating the air curtain configurations and velocities, correspond satisfactorily to recorded signals for the successive‐pipe sequence. As for the recorded signals, peak amplitude of the first pulse is decreased substantially by a single air curtain and not appreciably more by additional air curtains. Recorded‐signal amplitudes, however, exceed synthetic‐signal amplitudes, possibly due to inadequacy of the plane‐wave models and to backscattered signals within the pond. The dominant reverberations prevented meaningful measurements of the frequency‐dependent absorption in the air curtains. Theoretical absorption values were obtained after synthetically eliminating the bubble‐free corridors by expansion of the air curtains. Absorption as a function of air curtain width was determined for each of the three air pressures and for the extremes of possible bubble radii (0.002 to 0.014 ft). Similar to reduction of the first pulse peak amplitude on recorded signals, amplitude of synthetic signals is decreased substantially by the air curtain from a single pipe and at a much lower rate as the air curtain width increases. Frequency‐dependent absorption for the smaller bubble radius (0.002 ft) is substantially greater and increases with air curtain width at a greater rate.

1999 ◽  
Vol 66 (4) ◽  
pp. 1021-1023 ◽  
Author(s):  
R. Usha ◽  
P. Vimala

In this paper, the magnetic effects on the Newtonian squeeze film between two circular parallel plates, containing a single central air bubble of cylindrical shape are theoretically investigated. A uniform magnetic field is applied perpendicular to the circular plates, which are in sinusoidal relative motion, and fluid film inertia effects are included in the analysis. Assuming an ideal gas under isothermal condition for an air bubble, a nonlinear differential equation for the bubble radius is obtained by approximating the momentum equation governing the magnetohydrodynamic squeeze film by the mean value averaged across the film thickness. Approximate analytical solutions for the air bubble radius, pressure distribution, and squeeze film force are determined by a perturbation method for small amplitude of sinusoidal motion and are compared with the numerical solution obtained by solving the nonlinear differential equation. The combined effects of air bubble, fluid film inertia, and magnetic field on the squeeze film force are analyzed.


Geophysics ◽  
1982 ◽  
Vol 47 (3) ◽  
pp. 345-353 ◽  
Author(s):  
S. N. Domenico

Air bubbles in water increase the compressibility several orders of magnitude above that in bubble‐free water, thereby greatly reducing the velocity and increasing attenuation of acoustic waves. The effect of air bubbles in water on acoustic wave propagation was studied extensively during World War II as part of an overall effort to apply underwater sound in submarine warfare. Currently, air bubble curtains are used to prevent damage of submerged structures (e.g., dams) by shock waves from submarine explosives. Also, air‐bubble curtains are used to reduce damage to water‐filled tanks in which metals are formed by explosives. Since World War II, research has progressed less feverishly in government and university laboratories. Published results of laboratory experiments generally confirm theoretical velocity and attenuation functions and demonstrate that these quantities are dependent principally upon frequency, bubble size, and fractional volume of air. Below the bubble resonant frequency and in the frequency range of marine energy sources, acoustic wave velocity is essentially independent of frequency and bubble radius, being well below the velocity in bubble‐free water. In this frequency range, attenuation increases with increasing frequency, decreasing bubble radius, and increasing fractional air volume.


2019 ◽  
Author(s):  
Leander Claes ◽  
Sarah Johannesmann ◽  
Elmar Baumhögger ◽  
Bernd Henning

2019 ◽  
Vol 10 (1) ◽  
pp. 187 ◽  
Author(s):  
Sebastian J. Schlecht

Since the introduction of feedforward–feedback comb allpass filters by Schroeder and Logan, its popularity has not diminished due to its computational efficiency and versatile applicability in artificial reverberation, decorrelation, and dispersive system design. In this work, we present an extension to the Schroeder allpass filter by introducing frequency-dependent feedforward and feedback gains while maintaining the allpass characteristic. By this, we directly improve upon the design of Dahl and Jot which exhibits a frequency-dependent absorption but does not preserve the allpass property. At the same time, we also improve upon Gerzon’s allpass filter as our design is both less restrictive and computationally more efficient. We provide a complete derivation of the filter structure and its properties. Furthermore, we illustrate the usefulness of the structure by designing an allpass decorrelation filter with frequency-dependent decay characteristics.


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