Natural rock fracture aperture properties through fractals

Pinnaduwa Kulatilake, J. Park, P. Balasingam, R. Morgan

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (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 3-D 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, Dald, on determining the anisotropy pattern of aperture data. A combined factor that represents both Dald and Kv, Dald × Kv, is suggested to capture the aperture anisotropy.

Original languageEnglish (US)
Title of host publicationProceedings of the 41st U.S. Rock Mechanics Symposium - ARMA's Golden Rocks 2006 - 50 Years of Rock Mechanics
StatePublished - 2006
Event41st U.S. Rock Mechanics Symposium - ARMA's Golden Rocks 2006 - 50 Years of Rock Mechanics - Golden, CO, United States
Duration: Jun 17 2006Jun 21 2006

Other

Other41st U.S. Rock Mechanics Symposium - ARMA's Golden Rocks 2006 - 50 Years of Rock Mechanics
CountryUnited States
CityGolden, CO
Period6/17/066/21/06

Fingerprint

fracture aperture
Fractal dimension
Fractals
fractals
apertures
Rocks
rocks
fluid flow
Flow of fluids
Anisotropy
anisotropy
rock
Flow rate
Hydraulics
hydraulics
variogram
Spatial distribution
flow velocity
mechanical property
Wood

ASJC Scopus subject areas

  • Geochemistry and Petrology
  • Geophysics

Cite this

Kulatilake, P., Park, J., Balasingam, P., & Morgan, R. (2006). Natural rock fracture aperture properties through fractals. In Proceedings of the 41st U.S. Rock Mechanics Symposium - ARMA's Golden Rocks 2006 - 50 Years of Rock Mechanics

Natural rock fracture aperture properties through fractals. / Kulatilake, Pinnaduwa; Park, J.; Balasingam, P.; Morgan, R.

Proceedings of the 41st U.S. Rock Mechanics Symposium - ARMA's Golden Rocks 2006 - 50 Years of Rock Mechanics. 2006.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Kulatilake, P, Park, J, Balasingam, P & Morgan, R 2006, Natural rock fracture aperture properties through fractals. in Proceedings of the 41st U.S. Rock Mechanics Symposium - ARMA's Golden Rocks 2006 - 50 Years of Rock Mechanics. 41st U.S. Rock Mechanics Symposium - ARMA's Golden Rocks 2006 - 50 Years of Rock Mechanics, Golden, CO, United States, 6/17/06.
Kulatilake P, Park J, Balasingam P, Morgan R. Natural rock fracture aperture properties through fractals. In Proceedings of the 41st U.S. Rock Mechanics Symposium - ARMA's Golden Rocks 2006 - 50 Years of Rock Mechanics. 2006
Kulatilake, Pinnaduwa ; Park, J. ; Balasingam, P. ; Morgan, R. / Natural rock fracture aperture properties through fractals. Proceedings of the 41st U.S. Rock Mechanics Symposium - ARMA's Golden Rocks 2006 - 50 Years of Rock Mechanics. 2006.
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