2016/11/30 by Marcel Moura, Knut Jørgen Måløy, Renaud Toussaint · 22 citations
Economics, Econometrics and Finance · Environmental Science · Mathematics · Physics and Astronomy · #Boundary (topology) #Complex Systems and Time Series Analysis #Flow (mathematics) #Fractal #Geometry #Groundwater flow and contamination studies #Materials science #Mathematical analysis #Mathematics #Mechanics #Physics #Porosity #Porous medium #Scaling #Spectral density #Statistical physics #Theoretical and Computational Physics #physics.flu-dyn
paper · pdf · open access · doi:10.1209/0295-5075/118/14004
published in Europhysics Letters (EPL) 118(1), 14004 (Institute of Physics) · 10 pages, 7 figures
openalex publication_date 2017/04/01 · arxiv created 2017/06/06 · arxiv updated 2017/06/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The intermittent burst dynamics during the slow drainage of a porous medium is studied experimentally. We have shown that this system satisfies a set of conditions known to be true for critical systems, such as intermittent activity with bursts extending over several time and length scales, self-similar macroscopic fractal structure and power spectrum. Additionally, we have verified a theoretically predicted scaling for the burst size distribution, previously assessed via numerical simulations. The observation of power spectra is new for porous media flows and, for specific boundary conditions, we notice the occurrence of a transition from 1/ f to 1/ f 2 scaling. An analytically integrable mathematical framework was employed to explain this behavior.