Abstract

In porous medium studies the Mandel-Cryer effect is known, describing non-monotonic pore-water pressure evolution in response to loading or to changed stress conditions. In a 2D poro-elastic model we couple the pore water hydraulics with mechanics (HM). The Mandel-Cryer effect is identified in parts of the model region that are far from the drainage boundary. At parts of the loaded boundary an even more complex pressure evolution is revealed. Variations of the Biot-parameter as the coupling parameter clearly indicate the relevance of the two-way coupling between the involved physical regimes. Hence the Mandel-Cryer effect is a typical result of multi-physical coupling.

Highlights

  • In problems of poro-elasticity the so-called Mandel-Cryer effect describes the nonmonotonic response of pressure due to external loading

  • A sudden change of pressure on an open system usually is expected to result in a monotonic reaction: the initial pressure will gradually decay towards a new equilibrium state

  • At t = 0 a force is applied to the rigid plates and a uniform pore pressure appears, according to the Skempton effect [2]

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Summary

Introduction

In problems of poro-elasticity the so-called Mandel-Cryer effect describes the nonmonotonic response of pressure due to external loading. In a poro-elastic system an increase of pressure can be observed in parts of the system for a certain time, before the overall decrease becomes dominant. At t = 0 a force is applied to the rigid plates and a uniform pore pressure appears, according to the Skempton effect [2]. Initially the solution, derived by Mandel, shows an increase of pressure. The transferring of compressive total stress works as a pore pressure generation mechanism such that the pressure in the centre region continues to rise after its initial creation. In the centre between the drained ends the pressure increase is most pronounced and prevails the longest time

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