The linear Boltzmann equation in column experiments of porous media

2019/08/02 by Kenji Amagai, Motoko Yamakawa, Amagai, Kenji +5
Engineering · Environmental Science · Physics and Astronomy · #FOS: Physical sciences #Geophysics (physics.geo-ph) #Groundwater flow and contamination studies #NMR spectroscopy and applications #Nanopore and Nanochannel Transport Studies

paper · doi:10.48550/arxiv.1908.00726

openalex publication_date 2019/08/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The use of the linear Boltzmann equation is proposed for transport in porous media in a column. By column experiments, we show that the breakthrough curve is reproduced by the linear Boltzmann equation. The advection-diffusion equation is derived from the linear Boltzmann equation in the asymptotic limit of large propagation distance and long time.

Citations

• Calculation of Gauss quadrature rules
• The random walk's guide to anomalous diffusion: a fractional dynamics approach

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