Modeling, description, and characterization of fractal pore via mathematical morphology
type: Item
instance of: scholarly article
title: Modeling, description, and characterization of fractal pore via mathematical morphology
zbMATH Open document ID: 1140.74011
DOI: 10.1155/DDNS/2006/89280
author: Lay Lian Teo
author: B. S. Daya Sagar
published in: Discrete Dynamics in Nature and Society
publication date: 2008-07-28T00:00:00Z
full work available at URL: https://eudml.org/doc/129082
review text: Summary: The aim of this paper is to provide description of fast, simple computational algorithms based upon mathematical morphology techniques to extract descriptions of pore channels -- throats -- and bodies and to represent them in 3D space, and to produce statistical characterization of their descriptions. Towards this goal, a model fractal binary pore is considered and is eroded recursively to generate different slices possessing decreasing degrees of porosity. By employing simple morphology-based approach, each slice of this pore space is decomposed into pore-channel, pore-throat, and pore-body, which are abstract structures that summarize the overall connectivity, orientation, and shape of the pore space. We consider the pore slices and their corresponding morphological quantities to stack them to further represent them in 3D space. We further provide a formulation essentially based on set theory to represent these three morphologic quantities to connect them appropriately across slices. The connected quantities are further fragmented to designate each fragmented portion with orders ranging from 1 to \(N\).
Mathematics Subject Classification ID: 74F10
Mathematics Subject Classification ID: 74E05
Mathematics Subject Classification ID: 28A80
zbMATH DE Number: 5304370
zbMATH Keywords: fractal binary pore
zbMATH Keywords: connectivity
MaRDI profile type: Publication
cites work: Q5546684
cites work: Q3152655
cites work: Q3680652
cites work: Morphological decomposition of sandstone pore-space: fractal power-laws
cites work: Modeling of physical properties of composite materials
Recommended article: AN ANALYTICAL MODEL FOR PORE AND TORTUOSITY FRACTAL DIMENSIONS OF POROUS MEDIA
Recommended article: PREDICTION OF MAXIMUM PORE SIZE OF POROUS MEDIA BASED ON FRACTAL GEOMETRY
Recommended article: Characterization of macro-scale heterogeneity and homogeneity of porous media employing fractal geometry.
Recommended article: A NEW METHOD FOR CALCULATING FRACTAL DIMENSIONS OF POROUS MEDIA BASED ON PORE SIZE DISTRIBUTION
Recommended article: On fractal theory for porous media
Recommended article: CHARACTERIZATION OF POROUS MEDIA WITH GEOMETRICAL MULTIFRACTALS
Recommended article: EVALUATION OF THE PARAMETERS OF FRACTAL POROUS MEDIA
Recommended article: A fractal resistance model for flow through porous media
description: scientific article; zbMATH DE number 5304370