Uncertainty in estimation of volumetric block proportion of bimrocks by using scanline method

Y. M. Tien; J. S. Lin; M. C. Kou; Y. C. Lu; Y. J. Chung; T. H. Wu; Der-Her Lee

Uncertainty in estimation of volumetric block proportion of bimrocks by using scanline method

Y. M. Tien, J. S. Lin, M. C. Kou, Y. C. Lu, Y. J. Chung, T. H. Wu, Der-Her Lee

Department of Civil Engineering

Research output: Contribution to conference › Paper › peer-review

8 Citations (Scopus)

Abstract

Volumetric block proportion (VBP) is a crucial parameter for assessing the mechanical properties of Bimrocks. The widely used scanline method has been very successful in providing VBP estimates, but the uncertainty for such estimates has only been quantified empirically. This paper presents both analytical and numerical approaches in addressing this issue. Analytical equations were derived for the mean and variance of scanline VBP estimates based upon a representative volume element concept. Extensive numerical simulation was carried that affirmed the analytical solutions. To facilitate a general application, a normalized coefficient of variation equation is given that can be used for assessing the uncertainty of VBP. An illustrated example on its use is given at the end.

Original language	English
Publication status	Published - 2010 Dec 1
Event	44th US Rock Mechanics Symposium and the 5th US/Canada Rock Mechanics Symposium - Salt Lake City, UT, United States Duration: 2010 Jun 27 → 2010 Jun 30

Other

Other	44th US Rock Mechanics Symposium and the 5th US/Canada Rock Mechanics Symposium
Country	United States
City	Salt Lake City, UT
Period	10-06-27 → 10-06-30

All Science Journal Classification (ASJC) codes

Geology
Geotechnical Engineering and Engineering Geology

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title = "Uncertainty in estimation of volumetric block proportion of bimrocks by using scanline method",

abstract = "Volumetric block proportion (VBP) is a crucial parameter for assessing the mechanical properties of Bimrocks. The widely used scanline method has been very successful in providing VBP estimates, but the uncertainty for such estimates has only been quantified empirically. This paper presents both analytical and numerical approaches in addressing this issue. Analytical equations were derived for the mean and variance of scanline VBP estimates based upon a representative volume element concept. Extensive numerical simulation was carried that affirmed the analytical solutions. To facilitate a general application, a normalized coefficient of variation equation is given that can be used for assessing the uncertainty of VBP. An illustrated example on its use is given at the end.",

author = "Tien, {Y. M.} and Lin, {J. S.} and Kou, {M. C.} and Lu, {Y. C.} and Chung, {Y. J.} and Wu, {T. H.} and Der-Her Lee",

year = "2010",

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note = "44th US Rock Mechanics Symposium and the 5th US/Canada Rock Mechanics Symposium ; Conference date: 27-06-2010 Through 30-06-2010",

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Uncertainty in estimation of volumetric block proportion of bimrocks by using scanline method. / Tien, Y. M.; Lin, J. S.; Kou, M. C.; Lu, Y. C.; Chung, Y. J.; Wu, T. H.; Lee, Der-Her.

2010. Paper presented at 44th US Rock Mechanics Symposium and the 5th US/Canada Rock Mechanics Symposium, Salt Lake City, UT, United States.

Research output: Contribution to conference › Paper › peer-review

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T1 - Uncertainty in estimation of volumetric block proportion of bimrocks by using scanline method

AU - Tien, Y. M.

AU - Lin, J. S.

AU - Kou, M. C.

AU - Lu, Y. C.

AU - Chung, Y. J.

AU - Wu, T. H.

AU - Lee, Der-Her

PY - 2010/12/1

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N2 - Volumetric block proportion (VBP) is a crucial parameter for assessing the mechanical properties of Bimrocks. The widely used scanline method has been very successful in providing VBP estimates, but the uncertainty for such estimates has only been quantified empirically. This paper presents both analytical and numerical approaches in addressing this issue. Analytical equations were derived for the mean and variance of scanline VBP estimates based upon a representative volume element concept. Extensive numerical simulation was carried that affirmed the analytical solutions. To facilitate a general application, a normalized coefficient of variation equation is given that can be used for assessing the uncertainty of VBP. An illustrated example on its use is given at the end.

AB - Volumetric block proportion (VBP) is a crucial parameter for assessing the mechanical properties of Bimrocks. The widely used scanline method has been very successful in providing VBP estimates, but the uncertainty for such estimates has only been quantified empirically. This paper presents both analytical and numerical approaches in addressing this issue. Analytical equations were derived for the mean and variance of scanline VBP estimates based upon a representative volume element concept. Extensive numerical simulation was carried that affirmed the analytical solutions. To facilitate a general application, a normalized coefficient of variation equation is given that can be used for assessing the uncertainty of VBP. An illustrated example on its use is given at the end.

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