Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Flow between two sites on a percolation cluster

Andrade1, Buldyrev, Dokholyan

  • 1Center for Polymer Studies, Boston University, Boston, Massachusetts 02215 and Departamento de Fisica, Universidade Federal do Ceara, 60451-970 Fortaleza, Ceara, Brazil.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|January 4, 2001
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Cyst of the ovary in an 8-year-old girl.

Revista colombiana de pediatria y puericultura·2010
Same author

A High-Resolution Microwave Study of the Conformations of Butan-2-ol in a Supersonic Expansion.

Journal of molecular spectroscopy·2001
Same author

An investigation into the quality of life of individuals after laryngectomy

Head & neck·2001
Same author

The effect of soil acidification on atmospheric methane uptake by a Maine forest soil(1).

FEMS microbiology ecology·2001
Same author

EDITORIAL.

Methods (San Diego, Calif.)·2001
Same author

Carbon monoxide production is not enhanced by nitrogenase activity.

FEMS microbiology ecology·2000
Same journal

Efficient Monte Carlo simulations using a shuffled nested Weyl sequence random number generator.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same journal

Spatiotemporal dynamics of electromagnetic pulses in saturating nonlinear optical media with normal group velocity dispersion.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same journal

Soliton-breather reaction pathways.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same journal

Calculation of electromagnetic properties of regular and random arrays of metallic and dielectric cylinders.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same journal

Electromagnetic convective cells in a nonuniform dusty plasma.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same journal

Stability of neural networks and solitons of field theory.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
See all related articles

We modeled fluid flow in porous media using percolation theory. Our findings reveal scaling laws for shortest paths and travel times, crucial for understanding fluid dynamics in complex systems.

Area of Science:

  • Physics
  • Applied Mathematics
  • Geophysics

Background:

  • Fluid flow in porous media is fundamental to many natural and industrial processes.
  • Understanding transport phenomena in disordered systems, like porous materials, presents significant challenges.
  • Percolation theory provides a framework for modeling connectivity and transport in such media.

Purpose of the Study:

  • To investigate the distribution of shortest paths for fluid flow in 2D and 3D porous media.
  • To develop and validate scaling laws for shortest path distributions and minimal travel times.
  • To analyze the influence of system size and bond occupancy probability on fluid transport dynamics.

Main Methods:

  • Modeling porous media using bond percolation on a lattice.

Related Experiment Videos

  • Simulating tracer particle movement driven by pressure differences between 'wells'.
  • Developing and verifying scaling ansatze for path distributions and travel times through extensive simulations.

    • Main Results:

    • A validated scaling ansatz for shortest path distributions in 2D and 3D systems.
    • Identified scaling laws for minimal tracer travel times under constant flux and constant pressure difference.
    • Demonstrated similarities in scaling forms for dynamical quantities and shortest paths, with distinct critical exponents.

    Conclusions:

    • The proposed scaling ansatze accurately describe fluid flow dynamics in porous media.
    • The study provides key parameters characterizing scaling behavior, including fractal dimensions and critical exponents.
    • Results offer insights into transport phenomena in disordered systems relevant to geophysics and materials science.