Representative elementary volumes for evaluating effective seismic properties of heterogeneous poroelastic media

Effective Governing Equations for Poroelastic Growing Media

A new mathematical model is developed for the macroscopic behaviour of a porous, linear elastic solid, saturated with a slowly flowing incompressible, viscous fluid, with surface accretion of the solid phase. The derivation uses a formal two-scale asymptotic expansion to exploit the wellseparated length scales of the material: the pores are small compared to the macroscale, with a spatially per...

Random heterogeneous media: Hicrosttucture and improwed bounds on effective properties

The purpose of the present article is to review recent advances made in the determination and calculation of improved bounds on the effective properties of random heterogeneous media that depend upon the microstructure via n-point correlation functions. New breakthroughs made in the quantitative characterization of the microstructure of heterogeneous materials are also reviewed. The following f...

Electromagnetic phenomena in heterogeneous media: Effective properties and local behavior

Effective toughness of heterogeneous media

We propose a versatile approach to computing the effective toughness of heterogeneous media. This approach focusses on the material property independent of the details of the boundary condition. The key idea is what we call a surfing boundary condition, where a steadily propagating crack opening displacement is applied as a boundary condition to a large domain while the crack set is allowed to ...

Nearly perfectly matched layer method for seismic wave propagation in poroelastic media

The nearly perfectly matched layer (NPML) method has been successfully applied to electromagnetic and elastodynamic wave equations including elastic isotropic and anisotropic media types to absorb spurious arrivals reflected from introduced boundaries in a number of numerical solution methods. It has been shown to be extremely satisfactory for this purpose. In this paper, a first-order velocity...