Chotiros Nicholas P
Applied Research Laboratories, The University of Texas at Austin, Texas 78758, USA.
J Acoust Soc Am. 2021 Jan;149(1):629. doi: 10.1121/10.0003360.
The extended Biot model for sands and silts is repurposed to include mud, but modifications are needed. The boundary between pore water and skeletal frame needs to be redefined because a significant fraction of the pore fluid is adsorbed onto the solid frame by electrostatic forces, and a proportion of the solid particles may be suspended in the pore fluid. Revil's relationships are used to simplify the input parameters. The frame elasticity equations are corrected to accommodate the sparse skeletal frame, which is supported by electrostatic forces, and behaves differently to a mechanical packing of grains. The corrected, Revil, extended Biot model has just four fitting parameters and is compared with published measurements of wave speeds and attenuations in the literature of clay, silty clay, and clayey silt sediments including recently published measurements from the Seabed Characterization Experiment. The results indicate that the skeletal frame in clay has a high water-content and the pore water contains suspended particles. To fit all the currently available data, it was necessary to modify corrected, Revil, extended Biot by flattening the creep related relaxation loss spectrum. There is a similarity with the Viscous Grain Shearing models in the use of a fractional exponent.
用于砂土和粉土的扩展比奥模型被重新调整用途以纳入泥浆，但需要进行修改。孔隙水与骨架之间的边界需要重新定义，因为相当一部分孔隙流体通过静电力吸附在固体骨架上，并且一部分固体颗粒可能悬浮在孔隙流体中。使用雷维尔的关系式来简化输入参数。对骨架弹性方程进行修正，以适应由静电力支撑的稀疏骨架，其行为与颗粒的机械堆积不同。修正后的雷维尔扩展比奥模型只有四个拟合参数，并与文献中已发表的关于粘土、粉质粘土和粘质粉土沉积物的波速和衰减测量值进行了比较，包括最近从海底特性实验中发表的测量值。结果表明，粘土中的骨架具有高含水量，孔隙水中含有悬浮颗粒。为了拟合所有现有数据，有必要通过使与蠕变相关的弛豫损耗谱变平来修改修正后的雷维尔扩展比奥模型。在使用分数指数方面与粘性颗粒剪切模型存在相似之处。
