Quantification of aperture and relations between aperture, normal stress and fluid flow for natural single rock fractures

Pinnaduwa Kulatilake, Jinyong Park, Pirahas Balasingam, Robert Morgan

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

Accurate quantification of rock fracture aperture is important in investigating hydro-mechanical properties of rock fractures. Liquefied wood's metal was used successfully to determine the spatial distribution of aperture with normal stress for natural single rock fractures. A modified 3D box counting method is developed and applied to quantify the spatial variation of rock fracture aperture with normal stress. New functional relations are developed for the following list: (a) Aperture fractal dimension versus effective normal stress; (b) Aperture fractal dimension versus mean aperture; (c) Fluid flow rate per unit hydraulic gradient per unit width versus mean aperture; (d) Fluid flow rate per unit hydraulic gradient per unit width versus aperture fractal dimension. The aperture fractal dimension was found to be a better parameter than mean aperture to correlate to fluid flow rate of natural single rock fractures. A highly refined variogram technique is used to investigate possible existence of aperture anisotropy. It was observed that the scale dependent fractal parameter, Kv, plays a more prominent role than the fractal dimension, Da1d, on determining the anisotropy pattern of aperture data. A combined factor that represents both Da1d and Kv, Da1d × Kv, is suggested to capture the aperture anisotropy.

Original languageEnglish (US)
Pages (from-to)269-281
Number of pages13
JournalGeotechnical and Geological Engineering
Volume26
Issue number3
DOIs
StatePublished - Jun 2008

Fingerprint

fractal dimensions
Fractal dimension
fluid flow
Flow of fluids
rocks
Rocks
fracture aperture
Anisotropy
anisotropy
rock
Flow rate
fluid mechanics
Hydraulics
hydraulics
variogram
Fractals
Spatial distribution
mechanical properties
spatial variation
mechanical property

Keywords

  • Aperture
  • Aperture anisotropy
  • Fluid flow
  • Fractals
  • Rock fracture

ASJC Scopus subject areas

  • Architecture
  • Geology
  • Soil Science

Cite this

Quantification of aperture and relations between aperture, normal stress and fluid flow for natural single rock fractures. / Kulatilake, Pinnaduwa; Park, Jinyong; Balasingam, Pirahas; Morgan, Robert.

In: Geotechnical and Geological Engineering, Vol. 26, No. 3, 06.2008, p. 269-281.

Research output: Contribution to journalArticle

@article{0614a757efde4aedaf5e1170e97ee8b5,
title = "Quantification of aperture and relations between aperture, normal stress and fluid flow for natural single rock fractures",
abstract = "Accurate quantification of rock fracture aperture is important in investigating hydro-mechanical properties of rock fractures. Liquefied wood's metal was used successfully to determine the spatial distribution of aperture with normal stress for natural single rock fractures. A modified 3D box counting method is developed and applied to quantify the spatial variation of rock fracture aperture with normal stress. New functional relations are developed for the following list: (a) Aperture fractal dimension versus effective normal stress; (b) Aperture fractal dimension versus mean aperture; (c) Fluid flow rate per unit hydraulic gradient per unit width versus mean aperture; (d) Fluid flow rate per unit hydraulic gradient per unit width versus aperture fractal dimension. The aperture fractal dimension was found to be a better parameter than mean aperture to correlate to fluid flow rate of natural single rock fractures. A highly refined variogram technique is used to investigate possible existence of aperture anisotropy. It was observed that the scale dependent fractal parameter, Kv, plays a more prominent role than the fractal dimension, Da1d, on determining the anisotropy pattern of aperture data. A combined factor that represents both Da1d and Kv, Da1d × Kv, is suggested to capture the aperture anisotropy.",
keywords = "Aperture, Aperture anisotropy, Fluid flow, Fractals, Rock fracture",
author = "Pinnaduwa Kulatilake and Jinyong Park and Pirahas Balasingam and Robert Morgan",
year = "2008",
month = "6",
doi = "10.1007/s10706-007-9163-2",
language = "English (US)",
volume = "26",
pages = "269--281",
journal = "International Journal of Mining Engineering",
issn = "0263-4546",
publisher = "Springer Netherlands",
number = "3",

}

TY - JOUR

T1 - Quantification of aperture and relations between aperture, normal stress and fluid flow for natural single rock fractures

AU - Kulatilake, Pinnaduwa

AU - Park, Jinyong

AU - Balasingam, Pirahas

AU - Morgan, Robert

PY - 2008/6

Y1 - 2008/6

N2 - Accurate quantification of rock fracture aperture is important in investigating hydro-mechanical properties of rock fractures. Liquefied wood's metal was used successfully to determine the spatial distribution of aperture with normal stress for natural single rock fractures. A modified 3D box counting method is developed and applied to quantify the spatial variation of rock fracture aperture with normal stress. New functional relations are developed for the following list: (a) Aperture fractal dimension versus effective normal stress; (b) Aperture fractal dimension versus mean aperture; (c) Fluid flow rate per unit hydraulic gradient per unit width versus mean aperture; (d) Fluid flow rate per unit hydraulic gradient per unit width versus aperture fractal dimension. The aperture fractal dimension was found to be a better parameter than mean aperture to correlate to fluid flow rate of natural single rock fractures. A highly refined variogram technique is used to investigate possible existence of aperture anisotropy. It was observed that the scale dependent fractal parameter, Kv, plays a more prominent role than the fractal dimension, Da1d, on determining the anisotropy pattern of aperture data. A combined factor that represents both Da1d and Kv, Da1d × Kv, is suggested to capture the aperture anisotropy.

AB - Accurate quantification of rock fracture aperture is important in investigating hydro-mechanical properties of rock fractures. Liquefied wood's metal was used successfully to determine the spatial distribution of aperture with normal stress for natural single rock fractures. A modified 3D box counting method is developed and applied to quantify the spatial variation of rock fracture aperture with normal stress. New functional relations are developed for the following list: (a) Aperture fractal dimension versus effective normal stress; (b) Aperture fractal dimension versus mean aperture; (c) Fluid flow rate per unit hydraulic gradient per unit width versus mean aperture; (d) Fluid flow rate per unit hydraulic gradient per unit width versus aperture fractal dimension. The aperture fractal dimension was found to be a better parameter than mean aperture to correlate to fluid flow rate of natural single rock fractures. A highly refined variogram technique is used to investigate possible existence of aperture anisotropy. It was observed that the scale dependent fractal parameter, Kv, plays a more prominent role than the fractal dimension, Da1d, on determining the anisotropy pattern of aperture data. A combined factor that represents both Da1d and Kv, Da1d × Kv, is suggested to capture the aperture anisotropy.

KW - Aperture

KW - Aperture anisotropy

KW - Fluid flow

KW - Fractals

KW - Rock fracture

UR - http://www.scopus.com/inward/record.url?scp=42549152162&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=42549152162&partnerID=8YFLogxK

U2 - 10.1007/s10706-007-9163-2

DO - 10.1007/s10706-007-9163-2

M3 - Article

VL - 26

SP - 269

EP - 281

JO - International Journal of Mining Engineering

JF - International Journal of Mining Engineering

SN - 0263-4546

IS - 3

ER -