Related Experiment Video
Updated: Feb 10, 2026

A Microfluidic Platform to Study Bioclogging in Porous Media
Published on: October 13, 2022
Evaluation of the path integral for flow through random porous media
Marise J E Westbroek1,2, Gil-Arnaud Coche3, Peter R King1
1Department of Earth Science and Engineering, Imperial College London, London SW7 2BP, England, United Kingdom.
Abstract:
We present a path integral formulation of Darcy's equation in one dimension with random permeability described by a correlated multivariate lognormal distribution. This path integral is evaluated with the Markov chain Monte Carlo method to obtain pressure distributions, which are shown to agree with the solutions of the corresponding stochastic differential equation for Dirichlet and Neumann boundary conditions. The extension of our approach to flow through random media in two and three dimensions is discussed.
More Related Videos
12:32Combining Fluidic Devices with Microscopy and Flow Cytometry to Study Microbial Transport in Porous Media Across Spatial Scales
Published on: November 25, 2020
14:25Window on a Microworld: Simple Microfluidic Systems for Studying Microbial Transport in Porous Media
Published on: May 3, 2010
Related Concept Videos
Mean free path and Mean free time
Applications of Integration to Find Blood Flow
Behavior of Gas Molecules: Molecular Diffusion, Mean Free Path, and Effusion
Path Between Thermodynamics States
Interference: Path Lengths
Two special sources may be considered when they are in phase. This can be easily achieved by feeding the two sources from the same source. An example would be synchronizing the two speakers by feeding them with the same source, such as the sound waves produced by a tuning fork. This setup ensures that the two sources have the same frequency and are...
Random Error