Stochastic fracture geometry modeling in 3-D including validations for a part of Arrowhead East Tunnel, California, USA

Pinnaduwa Kulatilake, Jeong Gi Um, Mingyu Wang, Richard F. Escandon, John Narvaiz

Research output: Contribution to journalArticle

66 Citations (Scopus)

Abstract

Eight-hundred and fifty nine fractures of a gneissic rock mass were mapped using 16 scanlines placed on steep rock exposures that were within 300 m of a tunnel alignment before the tunnel excavation. These data were analyzed using the software package FRACNTWK to find the number of fracture sets that exist in the rock mass, 3-D fracture frequency for each set and the probability distributions of orientation, trace length, fracture size in three dimensions (3-D) and spacing for each of the fracture sets. In obtaining these distributions corrections were applied for sampling biases associated with orientation, trace length, size and spacing. Developed stochastic 3-D fracture network for the rock mass was validated by comparing statistical properties of observed fracture traces on the scanlines with the predicted fracture traces on similar scanlines. The one-dimensional (1-D) fracture frequency of the rock mass in all directions in 3-D was calculated and is presented in terms of a stereographic plot. The 1-D fracture frequency along the tunnel alignment direction was predicted to be about 6.5 fractures/m before the tunnel excavation. This prediction was found to be in excellent agreement with the observed values obtained about 1 year later during the tunnel excavation. This was another validation conducted for the developed 3-D fracture network.

Original languageEnglish (US)
Pages (from-to)131-155
Number of pages25
JournalEngineering Geology
Volume70
Issue number1-2
DOIs
StatePublished - Oct 2003

Fingerprint

fracture geometry
Tunnels
tunnel
Geometry
modeling
Rocks
Excavation
excavation
rock
fracture network
spacing
sampling bias
Software packages
Probability distributions
software

Keywords

  • Case study
  • Fracture geometry
  • Fracture network validation
  • Probability distributions
  • Statistical modeling
  • Tunnel site

ASJC Scopus subject areas

  • Geotechnical Engineering and Engineering Geology

Cite this

Stochastic fracture geometry modeling in 3-D including validations for a part of Arrowhead East Tunnel, California, USA. / Kulatilake, Pinnaduwa; Um, Jeong Gi; Wang, Mingyu; Escandon, Richard F.; Narvaiz, John.

In: Engineering Geology, Vol. 70, No. 1-2, 10.2003, p. 131-155.

Research output: Contribution to journalArticle

Kulatilake, Pinnaduwa ; Um, Jeong Gi ; Wang, Mingyu ; Escandon, Richard F. ; Narvaiz, John. / Stochastic fracture geometry modeling in 3-D including validations for a part of Arrowhead East Tunnel, California, USA. In: Engineering Geology. 2003 ; Vol. 70, No. 1-2. pp. 131-155.
@article{b359447f95bc4438a76e42c9894b3e2d,
title = "Stochastic fracture geometry modeling in 3-D including validations for a part of Arrowhead East Tunnel, California, USA",
abstract = "Eight-hundred and fifty nine fractures of a gneissic rock mass were mapped using 16 scanlines placed on steep rock exposures that were within 300 m of a tunnel alignment before the tunnel excavation. These data were analyzed using the software package FRACNTWK to find the number of fracture sets that exist in the rock mass, 3-D fracture frequency for each set and the probability distributions of orientation, trace length, fracture size in three dimensions (3-D) and spacing for each of the fracture sets. In obtaining these distributions corrections were applied for sampling biases associated with orientation, trace length, size and spacing. Developed stochastic 3-D fracture network for the rock mass was validated by comparing statistical properties of observed fracture traces on the scanlines with the predicted fracture traces on similar scanlines. The one-dimensional (1-D) fracture frequency of the rock mass in all directions in 3-D was calculated and is presented in terms of a stereographic plot. The 1-D fracture frequency along the tunnel alignment direction was predicted to be about 6.5 fractures/m before the tunnel excavation. This prediction was found to be in excellent agreement with the observed values obtained about 1 year later during the tunnel excavation. This was another validation conducted for the developed 3-D fracture network.",
keywords = "Case study, Fracture geometry, Fracture network validation, Probability distributions, Statistical modeling, Tunnel site",
author = "Pinnaduwa Kulatilake and Um, {Jeong Gi} and Mingyu Wang and Escandon, {Richard F.} and John Narvaiz",
year = "2003",
month = "10",
doi = "10.1016/S0013-7952(03)00087-5",
language = "English (US)",
volume = "70",
pages = "131--155",
journal = "Engineering Geology",
issn = "0013-7952",
publisher = "Elsevier",
number = "1-2",

}

TY - JOUR

T1 - Stochastic fracture geometry modeling in 3-D including validations for a part of Arrowhead East Tunnel, California, USA

AU - Kulatilake, Pinnaduwa

AU - Um, Jeong Gi

AU - Wang, Mingyu

AU - Escandon, Richard F.

AU - Narvaiz, John

PY - 2003/10

Y1 - 2003/10

N2 - Eight-hundred and fifty nine fractures of a gneissic rock mass were mapped using 16 scanlines placed on steep rock exposures that were within 300 m of a tunnel alignment before the tunnel excavation. These data were analyzed using the software package FRACNTWK to find the number of fracture sets that exist in the rock mass, 3-D fracture frequency for each set and the probability distributions of orientation, trace length, fracture size in three dimensions (3-D) and spacing for each of the fracture sets. In obtaining these distributions corrections were applied for sampling biases associated with orientation, trace length, size and spacing. Developed stochastic 3-D fracture network for the rock mass was validated by comparing statistical properties of observed fracture traces on the scanlines with the predicted fracture traces on similar scanlines. The one-dimensional (1-D) fracture frequency of the rock mass in all directions in 3-D was calculated and is presented in terms of a stereographic plot. The 1-D fracture frequency along the tunnel alignment direction was predicted to be about 6.5 fractures/m before the tunnel excavation. This prediction was found to be in excellent agreement with the observed values obtained about 1 year later during the tunnel excavation. This was another validation conducted for the developed 3-D fracture network.

AB - Eight-hundred and fifty nine fractures of a gneissic rock mass were mapped using 16 scanlines placed on steep rock exposures that were within 300 m of a tunnel alignment before the tunnel excavation. These data were analyzed using the software package FRACNTWK to find the number of fracture sets that exist in the rock mass, 3-D fracture frequency for each set and the probability distributions of orientation, trace length, fracture size in three dimensions (3-D) and spacing for each of the fracture sets. In obtaining these distributions corrections were applied for sampling biases associated with orientation, trace length, size and spacing. Developed stochastic 3-D fracture network for the rock mass was validated by comparing statistical properties of observed fracture traces on the scanlines with the predicted fracture traces on similar scanlines. The one-dimensional (1-D) fracture frequency of the rock mass in all directions in 3-D was calculated and is presented in terms of a stereographic plot. The 1-D fracture frequency along the tunnel alignment direction was predicted to be about 6.5 fractures/m before the tunnel excavation. This prediction was found to be in excellent agreement with the observed values obtained about 1 year later during the tunnel excavation. This was another validation conducted for the developed 3-D fracture network.

KW - Case study

KW - Fracture geometry

KW - Fracture network validation

KW - Probability distributions

KW - Statistical modeling

KW - Tunnel site

UR - http://www.scopus.com/inward/record.url?scp=0041845412&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0041845412&partnerID=8YFLogxK

U2 - 10.1016/S0013-7952(03)00087-5

DO - 10.1016/S0013-7952(03)00087-5

M3 - Article

AN - SCOPUS:0041845412

VL - 70

SP - 131

EP - 155

JO - Engineering Geology

JF - Engineering Geology

SN - 0013-7952

IS - 1-2

ER -