Qiu Hao-Miao, Xia Tang-Dai, Yu Bing-Qi, Chen Wei-Yun
Research Center of Costal and Urban Geotechnical Engineering, Zhejiang University, Hangzhou 310058, China.
Institute of Geotechnical Engineering, Nanjing Tech University, Nanjing 210009, China.
J Acoust Soc Am. 2019 Aug;146(2):927. doi: 10.1121/1.5120126.
A theory of pseudo-Scholte wave propagating in a saturated porous medium loaded on its interface by a viscous compressible liquid is described. The porous medium is simulated by the Biot theory with high-frequency correction, and the overlying liquid is simulated by the linearized Navier-Stokes equation. An analytical expression for the complex dispersion equation of pseudo-Scholte wave through boundary conditions is established. Then the Riemann sheets related to body waves are discussed and the real and imaginary parts of the complex dispersion equation are separated and solved numerically. The resulting phase velocity, attenuation, as well as displacement and pressure fields are analyzed and comparisons are drawn with the non-viscous model. Finally, a set of parametric analyses is carried out to describe the effects of the phase velocity ratios of the S-wave in the porous medium to L-mode in overlying liquid on phase velocity and attenuation of the pseudo-Scholte waves.
描述了一种在其界面上加载粘性可压缩液体的饱和多孔介质中传播的伪肖尔特波理论。多孔介质由具有高频校正的毕奥理论模拟，上覆液体由线性化的纳维-斯托克斯方程模拟。通过边界条件建立了伪肖尔特波复色散方程的解析表达式。然后讨论了与体波相关的黎曼面，并对复色散方程的实部和虚部分离并进行数值求解。分析了所得的相速度、衰减以及位移和压力场，并与非粘性模型进行了比较。最后，进行了一组参数分析，以描述多孔介质中S波与上覆液体中L模的相速度比伪肖尔特波的相速度和衰减的影响。
