Re-examination of the In Situ Stress Measurements on the 240 Level of the AECL’s URL Using Tensor-Based Approaches

Gao, Ke; Harrison, John P.

doi:10.1007/s00603-018-1530-1

Title: Re-examination of the In Situ Stress Measurements on the 240 Level of the AECL’s URL Using Tensor-Based Approaches

Abstract

In situ stress is an important parameter in rock mechanics and often displays significant variability in fractured rock masses. Therefore, rigorous statistical approaches for stress variability characterisation are essential components and prerequisites for adequate interpretation of stress measurements. However, currently in rock mechanics, stresses are customarily processed by analysing the principal stress magnitude and orientation separately. As previous works show, these customary scalar/vector approaches violate the tensorial nature of stress and may yield erroneous results.

Authors:

^[1]; Harrison, John P. ^[2]

Univ. of Toronto, ON (Canada). Dept. of Civil Engineering; Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Univ. of Toronto, ON (Canada). Dept. of Civil Engineering

Publication Date:: Thu Jun 28 00:00:00 EDT 2018

Research Org.:: Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Sponsoring Org.:: USDOE; Natural Sciences and Engineering Research Council of Canada (NSERC)

OSTI Identifier:: 1480000

Report Number(s):: LA-UR-18-25185
Journal ID: ISSN 0723-2632

Grant/Contract Number:: AC52-06NA25396; 491006

Resource Type:: Accepted Manuscript

Journal Name:: Rock Mechanics and Rock Engineering

Additional Journal Information:: Journal Volume: 51; Journal Issue: 10; Journal ID: ISSN 0723-2632

Publisher:: Springer

Country of Publication:: United States

Language:: English

Subject:: 42 ENGINEERING; in situ stress; Euclidean mean; effective variance; stress variability; stress measurement

Citation Formats


                    Gao, Ke, and Harrison, John P. Re-examination of the In Situ Stress Measurements on the 240 Level of the AECL’s URL Using Tensor-Based Approaches.  United States: N. p., 2018. 
Web.  doi:10.1007/s00603-018-1530-1.

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                    Gao, Ke, & Harrison, John P. Re-examination of the In Situ Stress Measurements on the 240 Level of the AECL’s URL Using Tensor-Based Approaches.  United States.  https://doi.org/10.1007/s00603-018-1530-1

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                    Gao, Ke, and Harrison, John P. Thu .  
"Re-examination of the In Situ Stress Measurements on the 240 Level of the AECL’s URL Using Tensor-Based Approaches".  United States.  https://doi.org/10.1007/s00603-018-1530-1.  https://www.osti.gov/servlets/purl/1480000.

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@article{osti_1480000,

  title        = {Re-examination of the In Situ Stress Measurements on the 240 Level of the AECL’s URL Using Tensor-Based Approaches},

  author       = {Gao, Ke and Harrison, John P.},

  abstractNote = {In situ stress is an important parameter in rock mechanics and often displays significant variability in fractured rock masses. Therefore, rigorous statistical approaches for stress variability characterisation are essential components and prerequisites for adequate interpretation of stress measurements. However, currently in rock mechanics, stresses are customarily processed by analysing the principal stress magnitude and orientation separately. As previous works show, these customary scalar/vector approaches violate the tensorial nature of stress and may yield erroneous results.},

  doi          = {10.1007/s00603-018-1530-1},

  journal      = {Rock Mechanics and Rock Engineering},

  number       = 10,

  volume       = 51,

  place        = {United States},

  year         = {Thu Jun 28 00:00:00 EDT 2018},

  month        = {Thu Jun 28 00:00:00 EDT 2018}

}

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Works referenced in this record:

In situ stress measurements in anisotropic rock
journal, December 1984

Amadei, B.
International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, Vol. 21, Issue 6
DOI: 10.1016/0148-9062(84)90365-6

Trends in relationships between measured in-situ stresses and depth
journal, August 1978

Brown, E. T.; Hoek, E.
International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, Vol. 15, Issue 4
DOI: 10.1016/0148-9062(78)91227-5

ISRM Suggested Methods for rock stress estimation—Part 4: Quality control of rock stress estimation
journal, October 2003

Christiansson, R.; Hudson, J. A.
International Journal of Rock Mechanics and Mining Sciences, Vol. 40, Issue 7-8
DOI: 10.1016/j.ijrmms.2003.07.004

Mean and dispersion of stress tensors using Euclidean and Riemannian approaches
journal, May 2016

Gao, Ke; Harrison, John P.
International Journal of Rock Mechanics and Mining Sciences, Vol. 85
DOI: 10.1016/j.ijrmms.2016.03.019

Generation of random stress tensors
journal, April 2017

Gao, Ke; Harrison, John P.
International Journal of Rock Mechanics and Mining Sciences, Vol. 94
DOI: 10.1016/j.ijrmms.2016.12.011

Examination of Mean Stress Calculation Approaches in Rock Mechanics
journal, September 2018

Gao, Ke; Harrison, John P.
Rock Mechanics and Rock Engineering, Vol. 52, Issue 1
DOI: 10.1007/s00603-018-1568-0

Multivariate distribution model for stress variability characterisation
journal, February 2018

Gao, Ke; Harrison, John P.
International Journal of Rock Mechanics and Mining Sciences, Vol. 102
DOI: 10.1016/j.ijrmms.2018.01.004

Scalar-valued measures of stress dispersion
journal, June 2018

Gao, Ke; Harrison, John P.
International Journal of Rock Mechanics and Mining Sciences, Vol. 106
DOI: 10.1016/j.ijrmms.2018.04.008

Influence of boundary constraints on stress heterogeneity modelling
journal, July 2018

Gao, Ke; Lei, Qinghua
Computers and Geotechnics, Vol. 99
DOI: 10.1016/j.compgeo.2018.03.003

Influence of Large Syncline on In Situ Stress Field: A Case Study of the Kaiping Coalfield, China
journal, July 2016

Han, Jun; Zhang, Hongwei; Liang, Bin
Rock Mechanics and Rock Engineering, Vol. 49, Issue 11
DOI: 10.1007/s00603-016-1039-4

The state of stress in the upper part of the earth's crust
journal, September 1969

Hast, N.
Tectonophysics, Vol. 8, Issue 3
DOI: 10.1016/0040-1951(69)90097-3

In Situ rock stresses and their measurement in the U.K.—Part I. The current state of knowledge
journal, December 1988

Hudson, J. A.; Cooling, C. M.
International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, Vol. 25, Issue 6
DOI: 10.1016/0148-9062(88)90976-X

ISRM Suggested Methods for rock stress estimation—Part 1: Strategy for rock stress estimation
journal, October 2003

Hudson, J. A.; Cornet, F. H.; Christiansson, R.
International Journal of Rock Mechanics and Mining Sciences, Vol. 40, Issue 7-8
DOI: 10.1016/j.ijrmms.2003.07.011

Confidence intervals for in situ stress measurements
journal, December 1994

Jupe, A. J.
International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, Vol. 31, Issue 6
DOI: 10.1016/0148-9062(94)90013-2

The stress state of the Earth’s lithosphere: Results of statistical processing of the world stress-map data
journal, February 2013

Koptev, A. I.; Ershov, A. V.; Malovichko, E. A.
Moscow University Geology Bulletin, Vol. 68, Issue 1
DOI: 10.3103/S0145875213010067

Correlation Between Fracture Network Properties and Stress Variability in Geological Media
journal, May 2018

Lei, Qinghua; Gao, Ke
Geophysical Research Letters, Vol. 45, Issue 9
DOI: 10.1002/2018GL077548

The Statistical Analysis of Orthogonal Orientation Data
journal, May 1989

Lisle, Richard J.
The Journal of Geology, Vol. 97, Issue 3
DOI: 10.1086/629309

Characterizing in situ stress domains at the AECL Underground Research Laboratory
journal, October 1990

Martin, C. D.
Canadian Geotechnical Journal, Vol. 27, Issue 5
DOI: 10.1139/t90-077

Overcoring in highly stressed granite— the influence of microcracking
journal, January 1991

Martin, C. D.; Christiansson, R.
International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, Vol. 28, Issue 1
DOI: 10.1016/0148-9062(91)93233-V

Overcoring in highly stressed granite: Comparison of USBM and modified CSIR devices
journal, January 1991

Martin, C. D.; Christiansson, R. C.
Rock Mechanics and Rock Engineering, Vol. 24, Issue 4
DOI: 10.1007/BF01045032

Stress, instability and design of underground excavations
journal, October 2003

Martin, C. D.; Kaiser, P. K.; Christiansson, R.
International Journal of Rock Mechanics and Mining Sciences, Vol. 40, Issue 7-8
DOI: 10.1016/S1365-1609(03)00110-2

Determining changes in the state of stress associated with an earthquake via combined focal mechanism and moment tensor analysis: Application to the 2013 Awaji Island earthquake, Japan
journal, May 2015

Matsumoto, Satoshi; Katao, Hiroshi; Iio, Yoshihisa
Tectonophysics, Vol. 649
DOI: 10.1016/j.tecto.2015.02.023

Updating the use of the CCBO cell in Japan: overcoring case studies
journal, October 2003

Obara, Y.; Sugawara, K.
International Journal of Rock Mechanics and Mining Sciences, Vol. 40, Issue 7-8
DOI: 10.1016/j.ijrmms.2003.07.007

Descriptive measures of multivariate scatter and linear dependence
journal, May 2003

Peña, Daniel; Rodrı́guez, Julio
Journal of Multivariate Analysis, Vol. 85, Issue 2
DOI: 10.1016/S0047-259X(02)00061-1

In situ strength and failure mechanisms of migmatitic gneiss and pegmatitic granite at the nuclear waste disposal site in Olkiluoto, Western Finland
journal, October 2015

Siren, T.; Hakala, M.; Valli, J.
International Journal of Rock Mechanics and Mining Sciences, Vol. 79
DOI: 10.1016/j.ijrmms.2015.08.012

ISRM Suggested Methods for rock stress estimation—Part 2: overcoring methods
journal, October 2003

Sjöberg, J.; Christiansson, R.; Hudson, J. A.
International Journal of Rock Mechanics and Mining Sciences, Vol. 40, Issue 7-8
DOI: 10.1016/j.ijrmms.2003.07.012

ISRM Suggested Methods for Rock Stress Estimation—Part 5: Establishing a Model for the In Situ Stress at a Given Site
journal, June 2012

Stephansson, Ove; Zang, Arno
Rock Mechanics and Rock Engineering, Vol. 45, Issue 6
DOI: 10.1007/s00603-012-0270-x

Confidence intervals for In Situ stress measurements
journal, April 1990

Walker, J. R.; Martin, C. D.; Dzik, E. J.
International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, Vol. 27, Issue 2
DOI: 10.1016/0148-9062(90)94864-P

In-situ stress measurements and regional stress field assessment of the Beishan area, China
journal, August 2013

Zhao, X. G.; Wang, J.; Cai, M.
Engineering Geology, Vol. 163
DOI: 10.1016/j.enggeo.2013.05.020

Works referencing / citing this record:

Uncertainty in In Situ Stress Estimations: A Statistical Simulation to Study the Effect of Numbers of Stress Measurements
journal, June 2019

Feng, Yu; Harrison, John P.; Bozorgzadeh, Nezam
Rock Mechanics and Rock Engineering, Vol. 52, Issue 12
DOI: 10.1007/s00603-019-01891-9

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Similar Records

Title: Re-examination of the In Situ Stress Measurements on the 240 Level of the AECL’s URL Using Tensor-Based Approaches

Abstract

Citation Formats

In situ stress measurements in anisotropic rock journal, December 1984

Trends in relationships between measured in-situ stresses and depth journal, August 1978

ISRM Suggested Methods for rock stress estimation—Part 4: Quality control of rock stress estimation journal, October 2003

Mean and dispersion of stress tensors using Euclidean and Riemannian approaches journal, May 2016

Generation of random stress tensors journal, April 2017

Examination of Mean Stress Calculation Approaches in Rock Mechanics journal, September 2018

Multivariate distribution model for stress variability characterisation journal, February 2018

Scalar-valued measures of stress dispersion journal, June 2018

Influence of boundary constraints on stress heterogeneity modelling journal, July 2018

Influence of Large Syncline on In Situ Stress Field: A Case Study of the Kaiping Coalfield, China journal, July 2016

The state of stress in the upper part of the earth's crust journal, September 1969

In Situ rock stresses and their measurement in the U.K.—Part I. The current state of knowledge journal, December 1988

ISRM Suggested Methods for rock stress estimation—Part 1: Strategy for rock stress estimation journal, October 2003

Confidence intervals for in situ stress measurements journal, December 1994

The stress state of the Earth’s lithosphere: Results of statistical processing of the world stress-map data journal, February 2013

Correlation Between Fracture Network Properties and Stress Variability in Geological Media journal, May 2018

The Statistical Analysis of Orthogonal Orientation Data journal, May 1989

Characterizing in situ stress domains at the AECL Underground Research Laboratory journal, October 1990

Overcoring in highly stressed granite— the influence of microcracking journal, January 1991

Overcoring in highly stressed granite: Comparison of USBM and modified CSIR devices journal, January 1991

Stress, instability and design of underground excavations journal, October 2003

Determining changes in the state of stress associated with an earthquake via combined focal mechanism and moment tensor analysis: Application to the 2013 Awaji Island earthquake, Japan journal, May 2015

Updating the use of the CCBO cell in Japan: overcoring case studies journal, October 2003

Descriptive measures of multivariate scatter and linear dependence journal, May 2003

In situ strength and failure mechanisms of migmatitic gneiss and pegmatitic granite at the nuclear waste disposal site in Olkiluoto, Western Finland journal, October 2015

ISRM Suggested Methods for rock stress estimation—Part 2: overcoring methods journal, October 2003

ISRM Suggested Methods for Rock Stress Estimation—Part 5: Establishing a Model for the In Situ Stress at a Given Site journal, June 2012

Confidence intervals for In Situ stress measurements journal, April 1990

In-situ stress measurements and regional stress field assessment of the Beishan area, China journal, August 2013

Uncertainty in In Situ Stress Estimations: A Statistical Simulation to Study the Effect of Numbers of Stress Measurements journal, June 2019

In situ stress measurements in anisotropic rock
journal, December 1984

Trends in relationships between measured in-situ stresses and depth
journal, August 1978

ISRM Suggested Methods for rock stress estimation—Part 4: Quality control of rock stress estimation
journal, October 2003

Mean and dispersion of stress tensors using Euclidean and Riemannian approaches
journal, May 2016

Generation of random stress tensors
journal, April 2017

Examination of Mean Stress Calculation Approaches in Rock Mechanics
journal, September 2018

Multivariate distribution model for stress variability characterisation
journal, February 2018

Scalar-valued measures of stress dispersion
journal, June 2018

Influence of boundary constraints on stress heterogeneity modelling
journal, July 2018

Influence of Large Syncline on In Situ Stress Field: A Case Study of the Kaiping Coalfield, China
journal, July 2016

The state of stress in the upper part of the earth's crust
journal, September 1969

In Situ rock stresses and their measurement in the U.K.—Part I. The current state of knowledge
journal, December 1988

ISRM Suggested Methods for rock stress estimation—Part 1: Strategy for rock stress estimation
journal, October 2003

Confidence intervals for in situ stress measurements
journal, December 1994

The stress state of the Earth’s lithosphere: Results of statistical processing of the world stress-map data
journal, February 2013

Correlation Between Fracture Network Properties and Stress Variability in Geological Media
journal, May 2018

The Statistical Analysis of Orthogonal Orientation Data
journal, May 1989

Characterizing in situ stress domains at the AECL Underground Research Laboratory
journal, October 1990

Overcoring in highly stressed granite— the influence of microcracking
journal, January 1991

Overcoring in highly stressed granite: Comparison of USBM and modified CSIR devices
journal, January 1991

Stress, instability and design of underground excavations
journal, October 2003

Determining changes in the state of stress associated with an earthquake via combined focal mechanism and moment tensor analysis: Application to the 2013 Awaji Island earthquake, Japan
journal, May 2015

Updating the use of the CCBO cell in Japan: overcoring case studies
journal, October 2003

Descriptive measures of multivariate scatter and linear dependence
journal, May 2003

In situ strength and failure mechanisms of migmatitic gneiss and pegmatitic granite at the nuclear waste disposal site in Olkiluoto, Western Finland
journal, October 2015

ISRM Suggested Methods for rock stress estimation—Part 2: overcoring methods
journal, October 2003

ISRM Suggested Methods for Rock Stress Estimation—Part 5: Establishing a Model for the In Situ Stress at a Given Site
journal, June 2012

Confidence intervals for In Situ stress measurements
journal, April 1990

In-situ stress measurements and regional stress field assessment of the Beishan area, China
journal, August 2013

Uncertainty in In Situ Stress Estimations: A Statistical Simulation to Study the Effect of Numbers of Stress Measurements
journal, June 2019