Traveling time and traveling length for flow in porous media

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dc.creatorLee, Youngki
dc.creatorAndrade Jr., Jose S.
dc.creatorBuldyrev, Sergey V.
dc.creatorDokholyan, Nikolay V.
dc.creatorHavlin, Shlomo
dc.creatorKing, Peter R.
dc.creatorPaul, Gerald
dc.creatorStanley, H. Eugene
dc.date1999-03-03
dc.date1999-08-18
dc.date.accessioned2026-07-07T03:12:56Z
dc.date.available2026-07-07T03:12:56Z
dc.descriptionWe study traveling time and traveling length for tracer dispersion in porous media. We model porous media by two-dimensional bond percolation, and we model flow by tracer particles driven by a pressure difference between two points separated by Euclidean distance $r$. We find that the minimal traveling time $t_{min}$ scales as $t_{min} \sim r^{1.40}$, which is different from the scaling of the most probable traveling time, ${\tilde t} \sim r^{1.64}$. We also calculate the length of the path corresponding to the minimal traveling time and find $\ell_{min} \sim r^{1.13}$ and that the most probable traveling length scales as ${\tilde \ell} \sim r^{1.21}$. We present the relevant distribution functions and scaling relations.
dc.description4 pages including 9 figures, Minor corrections in text
dc.identifierhttps://arxiv.org/abs/cond-mat/9903066
dc.identifierhttp://arxiv.org/abs/cond-mat/9903066
dc.identifierPhys. Rev. E 60(3), (1999)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/29107
dc.subjectStatistical Mechanics
dc.titleTraveling time and traveling length for flow in porous media
dc.typetext

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