Compaction front and pore fluid pressurization in horizontally shaken drained granular layers

Shahar Ben-Zeev, Einat Aharonov, Renaud Toussaint, Stanislav Parez, and Liran Goren
Phys. Rev. Fluids 5, 054301 – Published 4 May 2020
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Abstract

In many natural granular systems, the interstitial pores are filled with a fluid. Deformation of this two-phase system is complex, is highly coupled, and depends on the initial and boundary conditions. Here we study granular compaction and fluid flow in a saturated, horizontally shaken, unconfined granular layer, where the fluid is free to flow in and out of the layer through the free upper surface during shaking (i.e., drained boundary condition). The geometry, boundary conditions, and parameters are chosen to resemble a shallow soil layer, subjected to horizontal cyclic acceleration simulating that of an earthquake. We develop a theory and conduct coupled discrete element and fluid numerical simulations. Theoretical and simulation results show that under drained conditions and above a critical acceleration, the grain layer compacts at a rate governed by the fluid flow parameters of permeability and viscosity and is independent of the shaking parameters of frequency and acceleration. A compaction front develops, swiping upward through the system. Above the front, compaction occurs and the fluid becomes pressurized. Pressure gradients drive fluid seepage upward and out of the compacting layer while supporting the granular skeleton. The rate of compaction and the interstitial fluid pressure gradient coevolve until fluid seepage forces balance solid contact forces and grain contacts disappear. As an outcome, the imposed shear waves are not transmitted and the region is liquefied. Below the compaction front (i.e., after its passage), the grains are well compacted, and shaking is transmitted upward. We conclude that the drained condition for the interstitial pore fluid is a critical ingredient for the formation of an upward-moving compaction front, which separates a granular region that exhibits a liquidlike rheology from a solidlike region.

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  • Received 15 March 2019
  • Accepted 18 March 2020

DOI:https://doi.org/10.1103/PhysRevFluids.5.054301

©2020 American Physical Society

Physics Subject Headings (PhySH)

Fluid Dynamics

Authors & Affiliations

Shahar Ben-Zeev1,2,*, Einat Aharonov1, Renaud Toussaint2,3, Stanislav Parez4, and Liran Goren5

  • 1Institute of Earth Sciences, The Hebrew University of Jerusalem, 91904, Israel
  • 2Université de Strasbourg, CNRS, Institut de Physique du Globe de Strasbourg, UMR7516, F-67000 Strasbourg, France
  • 3PoreLab, SFF, the Njord Centre, Department of Physics, University of Oslo, P.O. Box 1048 Blindern, NO-0316 Oslo, Norway
  • 4Czech Academy of Sciences, Institute of Chemical Process Fundamentals, 165 02 Prague, Czech Republic
  • 5The Department of Geological and Environmental Sciences, Ben-Gurion University of the Negev, 84105, Israel

  • *shahar.benzeev@mail.huji.ac.il

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Issue

Vol. 5, Iss. 5 — May 2020

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