Scattering and refracting of plane strain wave by a cylindrical inclusion in fluid-saturated soils

Abstract

The problems involving scattering and refracting of plane strain wave by a cylinder in fluid-saturated soils are studied in this paper. The theoretical solutions for the amplitudes of scattering and refracting are derived on the basis of modified Blot's theory for two-phase medium in engineering, in which the compressibility of soil grains and the viscous coupling effect between the skeletal frame and the pore fluid are taken into account. Moreover, the amplitude equations of potential function are presented when the fluid-saturated soil cylindrical inclusion is degenerated into cylindrical cavity, rigid cylinder, single phase elastic cylinder and single phase fluid cylinder.

Multiple Scattering of P1 Waves by Arbitrarily Arranged Cavities in Saturated Soils

“…where indicates dimensionless frequency, Λ indicates wavelength, superscripts are the same as above, and the wave numbers refer to literature [4]. The absolute value of dimensionless displacement amplitude | / 0 | represents the ratio of total scattering P wave displacement amplitude and the incident wave displacement amplitude.…”

“…Therefore it is concerned as an idea measure to be adopted in the vibration pollution control project, especially in saturated soft soil area with high underground water level. As the research basis of rows of cavities as barrier, the problem of refraction and scattering of elastic waves in cylindrical interface has been studied by researchers worldwide [1][2][3][4].…”

An Analytical Solution for the Diffraction of Plane P-Waves by Three-Dimensional Hemispherical Canyon in a Fluid-Saturated Porous Media Half Space

“…where e = ∇ · u, ε = ∇ · U , ρ 11 = ρ 1 + ρ a , ρ 22 = ρ 2 + ρ a , ρ 12 = −ρ a , and ρ 1 = (1 − n)ρ s ; ρ 2 = nρ f ; ρ s is mass density of the solid phase, ρ f is mass density of the liquid phase, and ρ a is mass density of coupled-phase between the solid phase and liquid phase [12] . u and U are displacement of solid phase and liquid phase respectively.…”

“…2 , ψ (R) and χ (R) satisfy the wave Eq. (12). {A j mn , B j mn , C j mn , D j mn } are expansion coefficients corresponding to the additional wave potentials, these eight sets of unknowns are undetermined coefficients, and can be determined by boundary conditions.…”

Wave propagation through poroelastic soil with underground structures via hybrid BEM‐FEM

“…The computational tools available in the literature can be categorized into analytical, numerical and hybrid. Analytical methods mainly refer to wave function expansion methods, see [15][16][17]20,21,24,25,60]. As a whole, the analytical methods are restricted to inhomogeneous media with simple geometry (parallel, horizontal layers in the half-space) and heterogeneities with dimensions considerably larger than the prevailing wavelengths and therefore they are only limited to zoning studies.…”