Sedimentation-consolidation of a double porosity material

TL;DR

This paper develops a theoretical framework for modeling the sedimentation and consolidation behavior of double porosity materials like lumpy clay, incorporating large displacements and finite strains in a multidimensional setting.

Contribution

It introduces a set of fundamental equations based on phenomenological and thermodynamic principles tailored for double porosity materials with large deformations.

Findings

Derivation of three non-linear PDEs for sedimentation-consolidation.

Framework applicable to complex materials like lumpy clay.

Implementation underway for numerical simulation.

Abstract

This paper studies the sedimentation-consolidation of a double porosity material, such as lumpy clay. Large displacements and finite strains are accounted for in a multidimensional setting. Fundamental equations are derived using a phenomenological approach and non-equilibrium thermodynamics, as set out by Coussy [Coussy, Poromechanics, Wiley, Chichester, 2004]. These equations particularise to three non-linear partial differential equations in one dimensional context. Numerical implementation in a finite element code is currently being undertaken.