Multiscale relationships between fracture length, aperture, density and permeability

Research output: Contribution to journalArticle

35 Citations (Scopus)

Abstract

Fractured rocks exhibit a hierarchical structure which renders their attributes scale-dependent. In particular available data indicate a tendency for fracture length scales to be distributed according to a power law, average fracture aperture to be given by a power of the fracture length scale, and fracture density as well as log permeability to behave as random fractals. To date, no consistent theoretical relationship has been developed between fracture type (as categorized, for example, by length scale and/or aperture) and corresponding fractal attributes (such as density and log permeability). We develop and explore multiscale relationships between these fracture categories and attributes on the basis of a theory recently proposed by the author, which allows linking them in a formal way.

Original languageEnglish (US)
Article numberL22402
JournalGeophysical Research Letters
Volume35
Issue number22
DOIs
StatePublished - Nov 28 2008

Fingerprint

permeability
apertures
fractals
fracture aperture
power law
tendencies
rocks
rock
attribute

ASJC Scopus subject areas

  • Earth and Planetary Sciences(all)
  • Geophysics

Cite this

Multiscale relationships between fracture length, aperture, density and permeability. / Neuman, Shlomo P.

In: Geophysical Research Letters, Vol. 35, No. 22, L22402, 28.11.2008.

Research output: Contribution to journalArticle

@article{031593a2a118472bbaaa96a0201636ec,
title = "Multiscale relationships between fracture length, aperture, density and permeability",
abstract = "Fractured rocks exhibit a hierarchical structure which renders their attributes scale-dependent. In particular available data indicate a tendency for fracture length scales to be distributed according to a power law, average fracture aperture to be given by a power of the fracture length scale, and fracture density as well as log permeability to behave as random fractals. To date, no consistent theoretical relationship has been developed between fracture type (as categorized, for example, by length scale and/or aperture) and corresponding fractal attributes (such as density and log permeability). We develop and explore multiscale relationships between these fracture categories and attributes on the basis of a theory recently proposed by the author, which allows linking them in a formal way.",
author = "Neuman, {Shlomo P}",
year = "2008",
month = "11",
day = "28",
doi = "10.1029/2008GL035622",
language = "English (US)",
volume = "35",
journal = "Geophysical Research Letters",
issn = "0094-8276",
publisher = "American Geophysical Union",
number = "22",

}

TY - JOUR

T1 - Multiscale relationships between fracture length, aperture, density and permeability

AU - Neuman, Shlomo P

PY - 2008/11/28

Y1 - 2008/11/28

N2 - Fractured rocks exhibit a hierarchical structure which renders their attributes scale-dependent. In particular available data indicate a tendency for fracture length scales to be distributed according to a power law, average fracture aperture to be given by a power of the fracture length scale, and fracture density as well as log permeability to behave as random fractals. To date, no consistent theoretical relationship has been developed between fracture type (as categorized, for example, by length scale and/or aperture) and corresponding fractal attributes (such as density and log permeability). We develop and explore multiscale relationships between these fracture categories and attributes on the basis of a theory recently proposed by the author, which allows linking them in a formal way.

AB - Fractured rocks exhibit a hierarchical structure which renders their attributes scale-dependent. In particular available data indicate a tendency for fracture length scales to be distributed according to a power law, average fracture aperture to be given by a power of the fracture length scale, and fracture density as well as log permeability to behave as random fractals. To date, no consistent theoretical relationship has been developed between fracture type (as categorized, for example, by length scale and/or aperture) and corresponding fractal attributes (such as density and log permeability). We develop and explore multiscale relationships between these fracture categories and attributes on the basis of a theory recently proposed by the author, which allows linking them in a formal way.

UR - http://www.scopus.com/inward/record.url?scp=60149084833&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=60149084833&partnerID=8YFLogxK

U2 - 10.1029/2008GL035622

DO - 10.1029/2008GL035622

M3 - Article

AN - SCOPUS:60149084833

VL - 35

JO - Geophysical Research Letters

JF - Geophysical Research Letters

SN - 0094-8276

IS - 22

M1 - L22402

ER -