Natural Groundwater Systems Can Display Chaotic Mixing at the Darcy Scale

TL;DR

This paper demonstrates that natural groundwater systems can exhibit chaotic mixing due to cyclical forcings like tides, influenced by heterogeneity and forcing magnitude, affecting transport and reaction processes.

Contribution

It reveals how natural groundwater flows can generate chaotic advection under cyclical forcing, a phenomenon previously associated mainly with engineered systems.

Findings

Chaotic mixing occurs near tidal boundaries in natural aquifers.

Flow reversals and heterogeneity induce Lagrangian chaos.

This chaos impacts residence times and reaction kinetics.

Abstract

Although steady, isotropic Darcy flows are inherently laminar and non-mixing, it is well understood that transient forcing via engineered pumping schemes can induce rapid, chaotic mixing in groundwater. In this study we explore the propensity for such mixing to arise in natural groundwater systems subject to cyclical forcings, e.g. tidal or seasonal influences. Using a conventional linear groundwater flow model subject to tidal forcing, we show that under certain conditions these flows generate Lagrangian transport and mixing phenomena (chaotic advection) near the tidal boundary. We show that aquifer heterogeneity, storativity, and forcing magnitude cause reversals in flow direction over the forcing cycle which, in turn, generate coherent Lagrangian structures and chaos. These features significantly augment fluid mixing and transport, leading to anomalous residence time distributions, flow segregation, and the potential for profoundly altered reaction kinetics. We define the dimensionless parameter groups which govern this phenomenon and explore these groups in connection with a set of well-characterised coastal systems. The potential for Lagrangian chaos to be present near discharge boundaries must be recognized and assessed in field studies.