Heterogeneous perturbation of fluid density and solid elastic strain in consolidating porous media

TL;DR

This paper investigates the heterogeneous perturbations of fluid density and solid strain in consolidating porous media using second gradient theory, providing a detailed static and dynamic analysis of the Mandel--Cryer effect.

Contribution

It introduces a second gradient theoretical framework to analyze the static and dynamic behavior of fluid and solid perturbations in porous media, extending classical models.

Findings

Detailed description of static perturbations

Dynamic analysis of fluid overpressure evolution

Extension of Mandel--Cryer effect understanding

Abstract

The occurrence of heterogeneous perturbations of fluid mass density and solid elastic strain of a porous continuum, as a consequence of its undrained response is a very important topic in theoretical and applied poromechanics. The classical Mandel--Cryer effect provides an explanation of fluid overpressure in the central region of a porous sample, immediately after the application of the loading. However this effect fades away when the fluid leaks out of the porous network. Here this problem is studied within the framework of a second gradient theory and a thorough description of the static and the dynamics of the phenomenon is given.