Holmes J D, Carey W M, Dediu S M, Siegmann W L
J Acoust Soc Am. 2007 May;121(5 Pt1):EL218-22. doi: 10.1121/1.2720937.
This paper summarizes evidence of a nonlinear frequency dependence of attenuation for compressional waves in shallow-water waveguides with sandy sediment bottoms. Sediment attenuation is found consistent with alpha(f) = alpha(f(o)) x (f/f(o))n, n approximately 1.8 +/- 0.2 at frequencies less than 1 kHz in agreement with the theoretical expectation, (n = 2), of Biot [J. Acoust. Soc. Am. 28(2), 168-178, 1956]. For frequencies less than 10 kHz, the sediment layers, within meters of the water-sediment interface, appear to play a role in the attenuation that strongly depends on the power law. The accurate calculation of sound transmission in a shallow-water waveguide requires the depth-dependent sound speed, density, and frequency-dependent attenuation.
本文总结了关于沙质海底浅水波导中压缩波衰减的非线性频率依赖性的证据。研究发现，在频率低于1kHz时，沉积物衰减符合α(f)=α(f₀)×(f/f₀)ⁿ，其中n约为1.8±0.2，这与比奥（Biot）[《美国声学学会杂志》28(2)，168 - 178，1956]的理论预期（n = 2）一致。对于频率低于10kHz的情况，在水 - 沉积物界面几米范围内的沉积层似乎在衰减中起作用，这种衰减强烈依赖于幂律。在浅水波导中准确计算声音传播需要深度依赖的声速、密度以及频率依赖的衰减。
