Nonlinear Effects in Long Range Underwater Acoustic Propagation

Abstract

This report investigates the propagation of finite amplitude acoustic signals through an inhomogeneous ocean both analytically and numerically. In the numerical study the ocean is assumed to be stratified. The effects of inhomogeneity, ordinary attenuation and dispersion, and nonlinear geometrical acoustics. Two explosion waveforms are considered: a weak shock with an exponentially decaying tail and a more realistic waveform that includes the first bubble pulse. Numerical propagation of the simpler wave along with 58.1 km path starting at a depth of 300 m leads to the following conclusions: (1) The effect of inhomogeneity on nonlinear distortion is small. (2) Dispersion plays an important role in determining the arrival time of the pulse. (3) Neither nonlinearity nor ordinary attenuation (and dispersion) are paramount; both need to be included. For a more realistic wave, propagation is along a 23 km ray path starting from a depth of 4300 m. Two charge weights, 0.818 kg and 22.7 kg TNT, are assumed. In each case the energy spectrum of the signal obtained by considering finite amplitude effects for the entire 23 km path is compared with spectra obtained by neglecting finite amplitude effects entirely, after the first 150 m, and after the first 1100 m. Finite amplitude effects are of small consequence in the case of the 0.818 kg TNT explosion for frequencies below 6 KHz at distances beyond 1100 m. For the 22.7 kg explosion the corresponding quantities are 4 kHz and 1100 m.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1985
Accession Number
ADA166492

Entities

People

  • Frederick D. Cotaras

Organizations

  • University of Texas at Austin

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies
  • Weapons Technologies

DTIC Thesaurus Topics

  • Acoustic Propagation
  • Acoustic Waves
  • Acoustics
  • Boltzmann Equation
  • Computer Programs
  • Differential Equations
  • Distortion
  • Doppler Effect
  • Equations
  • Explosions
  • Frequency
  • Frequency Shift
  • Reflection
  • Three Dimensional
  • Wave Equations
  • Wave Propagation
  • Waveforms

Fields of Study

  • Physics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Seismology