Accurate estimation of rock joint roughness using variogram method

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

1 Citation (Scopus)

Abstract

Fractional Brownian profiles with known values of fractal dimension, D, input standard deviation, a, and data density, d, were generated. For different values of the input parameter of the variogram method (lag distance, h), D and another associated fractal parameter Kv were calculated for the aforementioned profiles. The estimated Ky was found to relate to D, a and d according to Kv=2.0×10-5d0.35σ1.95D14.5. The parameter Kv can be used to capture the scale effect of roughness profiles. Suitable ranges for h were estimated to obtain computed D within ±10% of the D used for the generation and also to satisfy a power functional relation between the variogram and h. Results indicated the importance of removal of global trend for roughness profiles with global trend to obtain accurate estimates for the fractal parameters. The parameters D and Kv are suggested to use with the variogram method to quantify stationary roughness. In addition, at the basic level, the mean inclination/declination angle of the surface in the direction considered can be used to represent the global trend. Procedures are given in the paper to estimate suitable h range for a given natural rock joint profile to use with the variogram method to estimate D and Kv accurately for the profile.

Original languageEnglish (US)
Title of host publicationVail Rocks 1999 - 37th U.S. Symposium on Rock Mechanics (USRMS)
Editors Kranz, Smeallie, Scott, Amadei
PublisherAmerican Rock Mechanics Association (ARMA)
Pages407-414
Number of pages8
ISBN (Print)9058090523, 9789058090522
StatePublished - Jan 1 1999
Event37th U.S. Symposium on Rock Mechanics, Vail Rocks 1999 - Vail, United States
Duration: Jun 7 1999Jun 9 1999

Other

Other37th U.S. Symposium on Rock Mechanics, Vail Rocks 1999
CountryUnited States
CityVail
Period6/7/996/9/99

Fingerprint

variogram
roughness
Surface roughness
Rocks
rocks
Fractals
profiles
rock
fractals
Fractal dimension
trends
estimates
scale effect
declination
inclination
method
parameter
standard deviation
time lag
trend

ASJC Scopus subject areas

  • Geochemistry and Petrology
  • Geophysics

Cite this

Kulatilake, P., & Um, J. (1999). Accurate estimation of rock joint roughness using variogram method. In Kranz, Smeallie, Scott, & Amadei (Eds.), Vail Rocks 1999 - 37th U.S. Symposium on Rock Mechanics (USRMS) (pp. 407-414). American Rock Mechanics Association (ARMA).

Accurate estimation of rock joint roughness using variogram method. / Kulatilake, Pinnaduwa; Um, J.

Vail Rocks 1999 - 37th U.S. Symposium on Rock Mechanics (USRMS). ed. / Kranz; Smeallie; Scott; Amadei. American Rock Mechanics Association (ARMA), 1999. p. 407-414.

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

Kulatilake, P & Um, J 1999, Accurate estimation of rock joint roughness using variogram method. in Kranz, Smeallie, Scott & Amadei (eds), Vail Rocks 1999 - 37th U.S. Symposium on Rock Mechanics (USRMS). American Rock Mechanics Association (ARMA), pp. 407-414, 37th U.S. Symposium on Rock Mechanics, Vail Rocks 1999, Vail, United States, 6/7/99.
Kulatilake P, Um J. Accurate estimation of rock joint roughness using variogram method. In Kranz, Smeallie, Scott, Amadei, editors, Vail Rocks 1999 - 37th U.S. Symposium on Rock Mechanics (USRMS). American Rock Mechanics Association (ARMA). 1999. p. 407-414
Kulatilake, Pinnaduwa ; Um, J. / Accurate estimation of rock joint roughness using variogram method. Vail Rocks 1999 - 37th U.S. Symposium on Rock Mechanics (USRMS). editor / Kranz ; Smeallie ; Scott ; Amadei. American Rock Mechanics Association (ARMA), 1999. pp. 407-414
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