Comparison of rock discontinuity mean trace length and density estimation methods using discontinuity data from an outcrop in Wenchuan area, China

Abstract The equations that exist in the literature to estimate corrected mean trace length and corrected two-dimensional density of a rock discontinuity set using area sampling technique are critically reviewed. The discontinuity traces appearing in an outcrop in Yingxiu area in China are used along with rectangular windows to calculate the corrected mean trace length and two-dimensional density using Kulatilake and Wu’s equations. Similarly, circular windows are used along with Mauldon’s and Zhang and Einstein’s equation to calculate the mean trace length and Mauldon’s equation to calculate the two-dimensional density for the same discontinuity sets using the same outcrop discontinuity trace data. For both parameters, the predictions based on the rectangular window methods were found to be more accurate than that based on the circular window methods.

[1]  Pinnaduwa Kulatilake,et al.  Sampling bias on orientation of discontinuities , 1984 .

[2]  Liao Guo-hua,et al.  Estimation of confidence bounds for mean trace length of discontinuities using scanline surveys , 1990 .

[3]  Pinnaduwa Kulatilake,et al.  Estimation of mean trace length of discontinuities , 1984 .

[4]  M. Mauldon,et al.  Estimating Mean Fracture Trace Length and Density from Observations in Convex Windows , 1998 .

[5]  Chung-In Lee,et al.  Estimation of joint length distribution using window sampling , 2001 .

[6]  Pinnaduwa Kulatilake,et al.  The density of discontinuity traces in sampling windows , 1984 .

[7]  Gregory B. Baecher,et al.  Progressively censored sampling of rock joint traces , 1980 .

[8]  N. Sitar,et al.  Inference of discontinuity trace length distributions using statistical graphical models , 2006 .

[9]  G. M. Laslett,et al.  Censoring and edge effects in areal and line transect sampling of rock joint traces , 1982 .

[10]  P. Kulatilake,et al.  Stochastic fracture geometry modeling in 3-D including validations for a part of Arrowhead East Tunnel, California, USA , 2003 .

[11]  P. J. Pahl,et al.  Estimating the mean length of discontinuity traces , 1981 .

[12]  S. Priest,et al.  ESTIMATION OF DISCONTINUITY SPACING AND TRACE LENGTH USING SCANLINE SURVEYS , 1981 .

[13]  Richard Cowan,et al.  SOME PROPERTIES OF LINE SEGMENT PROCESSES , 1976 .

[14]  P. M. Warburton,et al.  A STEREOLOGICAL INTERPRETATION OF JOINT TRACE DATA , 1980 .

[15]  Ping Sun,et al.  Landslide hazards triggered by the 2008 Wenchuan earthquake, Sichuan, China , 2009 .

[16]  D. M. Cruden.  Describing the size of discontinuities , 1977 .

[17]  Pinnaduwa Kulatilake,et al.  Discontinuity geometry characterization in a tunnel close to the proposed permanent shiplock area of the three gorges dam site in China , 1996 .

[18]  Wu Junfeng,et al.  STUDY OF FORMATION CONDITIONS AND TOSS MOTION PROGRAM OF HIGH LANDSLIDES INDUCED BY EARTHQUAKE , 2009 .

[19]  Lianyang Zhang,et al.  Estimating the Mean Trace Length of Rock Discontinuities , 1998 .

[20]  Gregory B. Baecher,et al.  Trace Length Biases In Joint Surveys , 1978 .

[22]  G. W. Wathugala,et al.  A general procedure to correct sampling bias on joint orientation using a vector approach , 1990 .

[23]  Ove Stephansson,et al.  Joint network modelling with a validation exercise in Stripa mine, Sweden , 1993 .