Imperial College London
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ProfessorDimitriVvedensky

Faculty of Natural Sciences, Department of Physics

Professor of Physics
 
 
 
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Contact

 

+44 (0)20 7594 7605d.vvedensky Website

 
 
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Assistant

 

Mrs Carolyn Dale +44 (0)20 7594 7579

 
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Location

 

813Blackett LaboratorySouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Westbroek:2019:1751-8121/ab1100,
author = {Westbroek, MJE and Coche, G-A and King, PR and Vvedensky, DD},
doi = {1751-8121/ab1100},
journal = {Journal of Physics A: Mathematical and Theoretical},
title = {Pressure statistics from the path integral for Darcy flow through random porous media},
url = {http://dx.doi.org/10.1088/1751-8121/ab1100},
volume = {52},
year = {2019}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - The path integral for classical statistical dynamics is used to determine the properties of one-dimensional Darcy flow through a porous medium with a correlated stochastic permeability for several spatial correlation lengths. Pressure statistics are obtained from the numerical evaluation of the path integral by using the Markov chain Monte Carlo method. Comparisons between these pressure distributions and those calculated from the classic finite-volume method for the corresponding stochastic differential equation show excellent agreement for Dirichlet and Neumann boundary conditions. The evaluation of the variance of the pressure based on a continuum description of the medium provides an estimate of the effects of discretization. Log-normal and Gaussian fits to the pressure distributions as a function of position within the porous medium are discussed in relation to the spatial extent of the correlations of the permeability fluctuations.
AU  - Westbroek,MJE
AU  - Coche,G-A
AU  - King,PR
AU  - Vvedensky,DD
DO  - 1751-8121/ab1100
PY  - 2019///
SN  - 1751-8113
TI  - Pressure statistics from the path integral for Darcy flow through random porous media
T2  - Journal of Physics A: Mathematical and Theoretical
UR  - http://dx.doi.org/10.1088/1751-8121/ab1100
UR  - http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000463558600001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
UR  - http://hdl.handle.net/10044/1/71164
VL  - 52
ER  -
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