Three-dimensional shear and compressional wave propagation of multiple point sources in fluid-saturated elastic porous media

Abstract

A multiple point source model is developed in this research for studying both shear and compressional spherical wave propagation in a non-viscous fluid-saturated elastic porous medium. Relative displacement between the fluid and solid of the medium is quantified by the spherical wave governing equations, such that the waves described are more representative to that in engineering practices. The shear wave has shown significant influences on the characteristics of superposed shear and compressional waves generated by multiple point sources. Utilization of multiple point sources shows higher efficiency and effectiveness in generating desired waves, in comparing with that of single source. Specifically, the multiple sources model is more energy effective in comparing with the single source model by always producing larger magnitudes of relative displacement than a single source with the same energy, which becomes more significant when the distance between the source and the considered geological particles increases. Multiple point sources also show advantages on duration, direction control and magnitude adjustment for the waves generated. Numerical analyses are performed for comparing different shear, compressional and the superposed wave responses under single and multiple sources.

Delamination Localization in Multilayered CFRP Panel Based on Reconstruction of Guided Wave Modes

“…In this method, a 2D arbitrary plate is divided into elements in the thickness direction, and the x-axis corresponds to the wave propagation direction, as shown in Figure 2. The governing equation of the plain strain model for wave propagation in an elastic medium using the SAFE method can be represented by the following equation [56]:…”

“…The 𝐮 , 𝐮 , and 𝐮 are symmetric, shear horizontal, and asymmetric displacement vectors. The governing equation of the plain strain model for wave propagation in an elastic medium using the SAFE method can be represented by the following equation [56]:…”