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Scalar Signatures of Chaotic Mixing in Porous Media

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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https://hal-univ-rennes1.archives-ouvertes.fr/hal-03450736
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Submitted on : Friday, November 26, 2021 - 10:41:12 AM
Last modification on : Tuesday, January 4, 2022 - 6:35:36 AM

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

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