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Journal Articles Physical Review Letters Year : 2021

Scalar Signatures of Chaotic Mixing in Porous Media

J. Heyman
T. Le Borgne

Abstract

Steady laminar flows through porous media spontaneously generate Lagrangian chaos at pore scale, with qualitative implications for a range of transport, reactive and biological processes. The characterization and understanding of mixing dynamics in these opaque environments is an outstanding challenge. We address this issue by developing a novel technique based upon high-resolution imaging of the scalar signature produced by push-pull flows through porous media samples. Owing to the rapid decorrelation of particle trajectories in chaotic flows, the scalar image measured outside the porous material is representative of in-situ mixing dynamics. We present a theoretical framework for estimation of the Lypapunov exponent based on extension of Lagrangian stretching theories to correlated aggregation. This method provides a full characterization of chaotic mixing dynamics in a large class of porous materials.
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Dates and versions

hal-03450736 , version 1 (30-11-2020)
hal-03450736 , version 2 (26-11-2021)

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J. Heyman, T. Le Borgne, D. r. R Lester. Scalar Signatures of Chaotic Mixing in Porous Media. Physical Review Letters, 2021, 126 (3), ⟨10.1103/PhysRevLett.126.034505⟩. ⟨hal-03450736v2⟩
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