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Relating waveguide invariant and bottom reflection phase-shift parameter P in a Pekeris waveguide.

E C Shang1, J R Wu, Z D Zhao

  • 1Key Laboratory of Underwater Acoustic Environment, Institute of Acoustics, Chinese Academy of Science, No 21, Bei-Si-Huan-Xi Road, Hai-dian District, Beijing 100190, People's Republic of China. ecshang32@aol.com

The Journal of the Acoustical Society of America
|May 8, 2012
PubMed
Summary
This summary is machine-generated.

The waveguide invariant in shallow water is influenced by seafloor sediment properties. A new parameter P simplifies analyzing sediment effects on the waveguide invariant (β), offering a model-free approach.

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Area of Science:

  • Acoustics
  • Oceanography
  • Geophysics

Background:

  • The shallow-water environment significantly impacts acoustic propagation.
  • Understanding the waveguide invariant (β) is crucial for acoustic modeling in shallow waters.
  • Seafloor sediment properties are known to affect acoustic wave propagation.

Purpose of the Study:

  • To investigate the effect of bottom sediment on the waveguide invariant (β) in shallow-water environments.
  • To develop a simplified method for analyzing sediment-induced changes in β.
  • To validate the proposed method with numerical simulations.

Main Methods:

  • Utilizing the Wentzel-Kramers-Brillouin (WKB) approximation for acoustic wave analysis.
  • Introducing a bottom reflection phase-shift parameter (P) to characterize sediment effects.
  • Deriving an analytic relation for β based on parameter P and effective depth (H_eff).
  • Comparing WKB results with numerical simulations using the KRAKEN model.

Main Results:

  • The effect of sediment on β can be effectively represented by a single parameter P.
  • A simple analytic relation β ≈ 1 + P/(k(0)H_eff) was derived.
  • Calculated values of β for various high-speed sediments range from 1.0 to 1.5.
  • Excellent agreement was found between WKB and KRAKEN model results.

Conclusions:

  • Parameter P provides a robust, model-free method to study sediment impacts on the waveguide invariant.
  • The derived analytic relation simplifies the analysis of acoustic propagation in shallow-water environments with complex seabeds.
  • This approach is applicable to various sediment types, including layered sediments.