Relationship between the Fractal Dimension and Joint Roughness Coefficient

Abstract

Research Article| May 01, 1989 Relationship between the Fractal Dimension and Joint Roughness Coefficient JAMES R. CARR; JAMES R. CARR Department of Geological Sciences, Mackay School of Mines, University of Nevada-Reno, Reno, NV89557 Search for other works by this author on: GSW Google Scholar JAMES B. WARRINER JAMES B. WARRINER Department of the Army, Waterways Experiment Station, P.O. Box 631, Vicksburg, MS 39180 Search for other works by this author on: GSW Google Scholar Environmental & Engineering Geoscience (1989) xxvi (2): 253–263. https://doi.org/10.2113/gseegeosci.xxvi.2.253 Article history first online: 09 Mar 2017 Cite View This Citation Add to Citation Manager Share Icon Share Twitter LinkedIn Tools Icon Tools Get Permissions Search Site Citation JAMES R. CARR, JAMES B. WARRINER; Relationship between the Fractal Dimension and Joint Roughness Coefficient. Environmental & Engineering Geoscience 1989;; xxvi (2): 253–263. doi: https://doi.org/10.2113/gseegeosci.xxvi.2.253 Download citation file: Ris (Zotero) Refmanager EasyBib Bookends Mendeley Papers EndNote RefWorks BibTex toolbar search Search Dropdown Menu toolbar search search input Search input auto suggest filter your search All ContentBy SocietyEnvironmental & Engineering Geoscience Search Advanced Search Abstract An empirical relationship between the fractal dimension (D) and joint roughness coefficient (JRC) is described. The concepts of fractals and fractal dimension are introduced. A fractal dimension for joint and bedding planes is determined using elevation data measured along a line traversing these surfaces. Surfaces adjacent to Libby Dam, Montana are analyzed using the concept of the fractal dimension. The minimum resolution (spacing) of elevation measurements is 15.2 cm (0.5 ft), hence fractal dimensions describe large scale features of these surfaces. A JRC value is also determined visually for each surface. The empirical relationship between JRC and D is found to be: This expression has an error standard deviation of 1.24 JRC values. Moreover, the coefficient of determination for this equation is 0.979. The approximate relationship between the joint roughness coefficient and fractal dimension is: A 0.001 variation in the fractal dimension results in a 1 value variation in the joint roughness coefficient. This content is PDF only. Please click on the PDF icon to access. First Page Preview Close Modal You do not have access to this content, please speak to your institutional administrator if you feel you should have access.