Lagrangian Complexity Persists with Multimodal Flow Forcing in Compressible Porous Systems

Trefry, M. G.; Lester, Daniel; Metcalfe, Guy; Wu, J.

doi:10.1007/s11242-020-01487-w

Cited by 4 publications

(1 citation statement)

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“…This analysis was extended by Wu et al (2019) to consider wide ranges of relevant parameter values, highlighting that the spectra of natural ocean tides around the globe provides significant potential to induce Lagrangian complexity in coastal aquifer flows; other important hydraulic parameters are the aquifer compressibility (as depicted in Figure 2), diffusivity and heterogeneity. These complex mixing dynamics have also been shown (Trefry et al, 2020) to extend to more realistic (and complex) scenarios where the boundary forcing is comprised of several superposed periodic modes. Since the basic ingredients of porous media heterogeneity, compressibility and time-dependent forcing arise in other geophysical, industrial and biological systems, the above rich set of transport structures that determine fluid residence times, solute segregation, mixing and reaction can also arise in a wide range of other porous media applications.…”

Section: Transient Darcy Flowsmentioning

confidence: 86%

A Primer on the Dynamical Systems Approach to Transport in Porous Media

Metcalfe,

Lester,

Trefry

2022

Preprint

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The dominant conceptual paradigm of porous media flow, solute mixing and transport is based on steady two-dimensional (2D) flows that can preclude important transport dynamics. Novel transport phenomena can arise in unsteady and/or three-dimensional (3D) flows at the pore-or Darcy-scale which can only be truly understood in the Lagrangian frame. These Lagrangian kinematics are governed by Lagrangian coherent structures (LCSs) that include chaotic mixing regions, hold-up regions and transport barriers that are only beginning to be visualised by novel experimental methods. In this primer we review the Lagrangian picture of porous media flow and transport and connect the associated tools and techniques with the latest research findings from pore to Darcy scales. This primer provides an introduction to the tools for porous media researchers to know when to expect complex Lagrangian kinematics, how to uncover and understand LCSs and their impact on solute transport, and how to exploit these dynamics to control solute transport in engineered subsurface flows.

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Section: Transient Darcy Flowsmentioning

confidence: 86%