An effective density fluid model for acoustic propagation in sediments derived from Biot theory.
An effective density fluid model for acoustic propagation in sediments derived from Biot theory.
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DOI：
10.1121/1.1412449
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发表时间：
2001-10
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影响因子：
--
通讯作者：
K. Williams
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文献类型：
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作者：
K. Williams
本文提出了一种声波传播模型，该模型将多孔介质近似为具有体积模量和有效密度的流体，该模型来源于Biot理论。在Biot理论的框架内，这里假设多孔介质的框架体积和剪切模量相对于介质的其他模量具有较低的值，并且这些低值近似为零。这就得到了一个有效的密度流体模型。结果表明，对于饱和砂质沉积物，用该有效密度流体模型预测的色散、透射、反射和水中后向散射与Biot理论的预测结果非常吻合。在这个协议中，我们证明了框架体积和剪切模量在决定砂声学的几个方面只起很小的作用。因此，对于许多应用来说，有效密度流体模型是完全Biot理论的精确替代，并且更容易实现。
In this paper we present an acoustic propagation model that approximates a porous medium as a fluid with a bulk modulus and effective density derived from Biot theory. Within the framework of Biot theory it is assumed here that the porous medium has low values of frame bulk and shear moduli relative to the other moduli of the medium and these low values are approximated as zero. This leads to an effective density fluid model. It is shown that, for saturated sand sediments, the dispersion, transmission, reflection, and in-water backscattering predicted with this effective density fluid model are in close agreement with the predictions of Biot theory. In this agreement we demonstrate that the frame bulk and shear moduli play only a minor role in determining several aspects of sand acoustics. Thus, for many applications the effective density fluid model is an accurate alternative to full Biot theory and is much simpler to implement.