Swimming-induced non-Fickian transport of bacteria in porous media Article Swipe

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Marco Dentz , Harold Auradou , Adama Creppy , Éric Clément , Douarche Carine ·

YOU? · · 2020 · Open Access · · DOI: https://doi.org/10.5194/egusphere-egu2020-8928 · OA: W3149705063

&lt;p&gt;Progress in experimental techniques and imaging methods have led to a leap in the understanding of&amp;#160;&lt;br&gt;microscopic transport and swimming mechanisms of motile particles in porous media. This is very different&amp;#160;&lt;br&gt;for the understanding and characterization of large scale transport behaviors, which result from the&amp;#160;&lt;br&gt;interaction of motility with flow and medium heterogeneity, and the upscaling of microscale behaviors.&amp;#160;&lt;br&gt;Only few works have investigated large scale dispersion of active particles in porous media,&amp;#160;&lt;br&gt;which mainly operate in the framework of Brownian dynamics and effective dispersion or&amp;#160;&lt;br&gt;are completely data driven. In this work, we use the particle tracking data of Creppy et al. [1]&amp;#160;&lt;br&gt;to derive the stochastic dynamics of small scale particle motion due to hydrodynamic flow variability&amp;#160;&lt;br&gt;and the swimming activity of bacteria. These stochastic rules are used to derive a&amp;#160;&lt;br&gt;continous time random walk (CTRW) based model for bacteria motion. The CTRW naturally accounts for&amp;#160;&lt;br&gt;persistent advective motion along streamlines [2]. In this framework, particle motility is modeled&amp;#160;&lt;br&gt;through a subordinated Ornstein-Uhlenbeck process that accounts for the impact of rotational diffusion on&amp;#160;&lt;br&gt;&amp;#160;particle motion in the fluid, and a compound Poisson process that accounts for the motion toward and around&amp;#160;&lt;br&gt;grains. The upscaled transport framework can be parameterized by the distribution of the Eulerian&amp;#160;&lt;br&gt;pore velocities, and the motility rules of the bacteria. The model predicts the propagators of the&amp;#160;&lt;br&gt;ensemble of bacteria as well as their center of mass position and dispersion for bacteria transport under different&lt;br&gt;flow rates.&amp;#160;&lt;/p&gt;&lt;p&gt;[1] A. Creppy, E. Cl&amp;#233;ment, C. Douarche, M. V. D&amp;#8217;Angelo, and H. Auradou. Effect of motility on the transport of bacteria populations through a porous medium. Phys. Rev. Fluids, 4(1), 2019.&lt;/p&gt;&lt;p&gt;[2]&amp;#160;M. Dentz, P. K. Kang, A. Comolli, T. Le Borgne, and D. R. Lester. Continuous time random walks for the evolution of Lagrangian velocities. Physical Review Fluids, 1(7):074004, 2016.&lt;/p&gt;