The Kozeny-Carman Equation Considered With a Percolation Threshold

Bibliographic Details
Main Author:	Porter, Lee Brenson, II
Language:	English
Published:	Wright State University / OhioLINK 2011
Subjects:	Environmental Geology permeability kozeny-carman equation percolation theory grain-size distributions fractional packing recursive averaging
Online Access:	http://rave.ohiolink.edu/etdc/view?acc_num=wright1309878625

id	ndltd-OhioLink-oai-etd.ohiolink.edu-wright1309878625
record_format	oai_dc
spelling	ndltd-OhioLink-oai-etd.ohiolink.edu-wright13098786252021-08-03T06:17:26Z The Kozeny-Carman Equation Considered With a Percolation Threshold Porter, Lee Brenson, II Environmental Geology permeability kozeny-carman equation percolation theory grain-size distributions fractional packing recursive averaging A procedure has been developed for calculating permeability (k) from the Kozeny-Carmen equation, a procedure that links ideas from percolation theory with the ideas of Koltermann and Gorelick (1995) and Esselburn et al. (2011). The approach focuses on the proportion of coarser pores that are occupied by finer sediments and defines a threshold proportion. For proportions below this threshold, the unoccupied coarser pores percolate. Following the ideas of Koltermann and Gorelick (1995), the effective grain-size term in the Kozeny-Carman equation is calculated using the geometric mean if below the threshold proportion, and with the harmonic mean if above. Following ideas of Esselburn et al. (2011), this approach is recursively implemented by considering each grain size category relative to the pore space in the next larger category for mixtures of more than two categories, in order of smallest size to largest. Application of these ideas to sediment models for sands and gravels, which have known k, indicate that a threshold does indeed exist. Results also suggest that the Kozeny-Carmen equation is robust and gives representative values for k, even though the threshold proportion is not precisely known. 2011-07-14 English text Wright State University / OhioLINK http://rave.ohiolink.edu/etdc/view?acc_num=wright1309878625 http://rave.ohiolink.edu/etdc/view?acc_num=wright1309878625 unrestricted This thesis or dissertation is protected by copyright: all rights reserved. It may not be copied or redistributed beyond the terms of applicable copyright laws.
collection	NDLTD
language	English
sources	NDLTD
topic	Environmental Geology permeability kozeny-carman equation percolation theory grain-size distributions fractional packing recursive averaging
spellingShingle	Environmental Geology permeability kozeny-carman equation percolation theory grain-size distributions fractional packing recursive averaging Porter, Lee Brenson, II The Kozeny-Carman Equation Considered With a Percolation Threshold
author	Porter, Lee Brenson, II
author_facet	Porter, Lee Brenson, II
author_sort	Porter, Lee Brenson, II
title	The Kozeny-Carman Equation Considered With a Percolation Threshold
title_short	The Kozeny-Carman Equation Considered With a Percolation Threshold
title_full	The Kozeny-Carman Equation Considered With a Percolation Threshold
title_fullStr	The Kozeny-Carman Equation Considered With a Percolation Threshold
title_full_unstemmed	The Kozeny-Carman Equation Considered With a Percolation Threshold
title_sort	kozeny-carman equation considered with a percolation threshold
publisher	Wright State University / OhioLINK
publishDate	2011
url	http://rave.ohiolink.edu/etdc/view?acc_num=wright1309878625
work_keys_str_mv	AT porterleebrensonii thekozenycarmanequationconsideredwithapercolationthreshold AT porterleebrensonii kozenycarmanequationconsideredwithapercolationthreshold
_version_	1719434120848736256

The Kozeny-Carman Equation Considered With a Percolation Threshold

Similar Items