Propagation of Rayleigh waves in fluid‐saturated non‐homogeneous soils with the graded solid skeleton distribution. (21st January 2016)

• Record Type: Journal Article
• Authors: Zhou, Fengxi; Ma, Qiang
• Is Part Of: International journal for numerical and analytical methods in geomechanics. Volume 40:Number 11(2016)
• Page Start: 1513
• Page End: 1530
• Publication Date: 2016-01-21
• Subjects: saturated soil -- non‐homogeneity -- Rayleigh waves -- perturbation method -- frequency dispersion; Soil mechanics -- Mathematics -- Periodicals; Rock mechanics -- Mathematics -- Periodicals; 624.1510151
• DOI: 10.1002/nag.2491
• Languages: English
• ISSNs: 0363-9061

Abstract

Summary: The propagation characteristic of Rayleigh waves in a fluid‐saturated non‐homogeneous poroelastic half‐plane is addressed. Based on Biot's theory for fluid‐saturated media, which takes the inertia, fluid viscosity, mechanical coupling, compressibility of solid grains, and fluid into account, the dispersion equations of Rayleigh waves in fluid‐saturated non‐homogeneous soils/rocks are established. By considering the shear modulus of solid skeleton variation with depth exponentially, a small parameter, which reflects the relative change of shear modulus, is introduced. The asymptotic solution of the dispersion equation expressing the relationship between the phase velocity and wave number is obtained by using the perturbation method. In order to analyze the effects of non‐homogeneity on the propagation characteristic of Rayleigh waves, the variation of the phase velocity with the wave number is presented graphically and discussed through numerical examples. Copyright © 2016 John Wiley & Sons, Ltd.