Probabilistic evaluation of spatial distribution of secondary compression by using kriging estimates of geo-layers

Woojin Lee; Donghee Kim; Youngho Chae; Dongwoo Ryu

doi:10.1016/j.enggeo.2011.06.008

Probabilistic evaluation of spatial distribution of secondary compression by using kriging estimates of geo-layers

Woojin Lee, Donghee Kim, Youngho Chae, Dongwoo Ryu

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15 Citations (Scopus)

Abstract

This paper presents a procedure for evaluating the spatial uncertainty in the secondary compression (s_s) using a probabilistic method. In order to evaluate the spatial distribution of s_s, the spatial maps of three geo-layers (the thickness and depth of the consolidating layer, the bottom elevation of the reclaimed sandfill) are estimated by using kriging techniques. For all three geo-layers considered in this study, the ordinary kriging is found to give more reliable estimates than the kriging with a trend and simple kriging. It is observed that the coefficients of variation (COVs) of C_α/C_c and C_c/(1+e₀) have similar influences on the COV of s_s. It is also shown that the COV of c_v has less effect on the COV of s_s than the COVs of C_α/C_c and C_c/(1+e₀) although the COV of c_v is larger than that of C_α/C_c and C_c/(1+e₀). The COV of s_s evaluated by considering all the COVs of soil properties is 0.420, which is 1.4-2.7 times larger than that determined by considering the COV of an individual soil property separately. It is observed that the area exceeding a design criterion increases as the COV of C_α/(1+e₀) increases and the probabilistic design criterion (α) decreases. For Songdo New City, the area ratio decreases from 0.47 for α value of 0.05 to 0.04 for α value of 0.45. The design procedure presented in this paper could be used in the decision making process for a geotechnical engineering design.

Original language	English
Pages (from-to)	239-248
Number of pages	10
Journal	Engineering Geology
Volume	122
Issue number	3-4
DOIs	https://doi.org/10.1016/j.enggeo.2011.06.008
Publication status	Published - 2011 Oct 10

Bibliographical note

Funding Information:
This paper was supported by a POSCO E&C grant, and was supported by the Basic Research Project of the Korea Institute of Geoscience and Mineral Resources (KIGAM) ( GP2009-019 ) funded by the Ministry of Science and Technology of Korea .

Keywords

Coefficient of variation
Kriging
Probabilistic method
Secondary compression

ASJC Scopus subject areas

Geotechnical Engineering and Engineering Geology
Geology

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10.1016/j.enggeo.2011.06.008

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@article{886244444465447ebcddd622ca483cc7,

title = "Probabilistic evaluation of spatial distribution of secondary compression by using kriging estimates of geo-layers",

abstract = "This paper presents a procedure for evaluating the spatial uncertainty in the secondary compression (ss) using a probabilistic method. In order to evaluate the spatial distribution of ss, the spatial maps of three geo-layers (the thickness and depth of the consolidating layer, the bottom elevation of the reclaimed sandfill) are estimated by using kriging techniques. For all three geo-layers considered in this study, the ordinary kriging is found to give more reliable estimates than the kriging with a trend and simple kriging. It is observed that the coefficients of variation (COVs) of Cα/Cc and Cc/(1+e0) have similar influences on the COV of ss. It is also shown that the COV of cv has less effect on the COV of ss than the COVs of Cα/Cc and Cc/(1+e0) although the COV of cv is larger than that of Cα/Cc and Cc/(1+e0). The COV of ss evaluated by considering all the COVs of soil properties is 0.420, which is 1.4-2.7 times larger than that determined by considering the COV of an individual soil property separately. It is observed that the area exceeding a design criterion increases as the COV of Cα/(1+e0) increases and the probabilistic design criterion (α) decreases. For Songdo New City, the area ratio decreases from 0.47 for α value of 0.05 to 0.04 for α value of 0.45. The design procedure presented in this paper could be used in the decision making process for a geotechnical engineering design.",

keywords = "Coefficient of variation, Kriging, Probabilistic method, Secondary compression",

author = "Woojin Lee and Donghee Kim and Youngho Chae and Dongwoo Ryu",

note = "Funding Information: This paper was supported by a POSCO E&C grant, and was supported by the Basic Research Project of the Korea Institute of Geoscience and Mineral Resources (KIGAM) ( GP2009-019 ) funded by the Ministry of Science and Technology of Korea .",

year = "2011",

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doi = "10.1016/j.enggeo.2011.06.008",

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T1 - Probabilistic evaluation of spatial distribution of secondary compression by using kriging estimates of geo-layers

AU - Lee, Woojin

AU - Kim, Donghee

AU - Chae, Youngho

AU - Ryu, Dongwoo

N1 - Funding Information: This paper was supported by a POSCO E&C grant, and was supported by the Basic Research Project of the Korea Institute of Geoscience and Mineral Resources (KIGAM) ( GP2009-019 ) funded by the Ministry of Science and Technology of Korea .

PY - 2011/10/10

Y1 - 2011/10/10

N2 - This paper presents a procedure for evaluating the spatial uncertainty in the secondary compression (ss) using a probabilistic method. In order to evaluate the spatial distribution of ss, the spatial maps of three geo-layers (the thickness and depth of the consolidating layer, the bottom elevation of the reclaimed sandfill) are estimated by using kriging techniques. For all three geo-layers considered in this study, the ordinary kriging is found to give more reliable estimates than the kriging with a trend and simple kriging. It is observed that the coefficients of variation (COVs) of Cα/Cc and Cc/(1+e0) have similar influences on the COV of ss. It is also shown that the COV of cv has less effect on the COV of ss than the COVs of Cα/Cc and Cc/(1+e0) although the COV of cv is larger than that of Cα/Cc and Cc/(1+e0). The COV of ss evaluated by considering all the COVs of soil properties is 0.420, which is 1.4-2.7 times larger than that determined by considering the COV of an individual soil property separately. It is observed that the area exceeding a design criterion increases as the COV of Cα/(1+e0) increases and the probabilistic design criterion (α) decreases. For Songdo New City, the area ratio decreases from 0.47 for α value of 0.05 to 0.04 for α value of 0.45. The design procedure presented in this paper could be used in the decision making process for a geotechnical engineering design.

AB - This paper presents a procedure for evaluating the spatial uncertainty in the secondary compression (ss) using a probabilistic method. In order to evaluate the spatial distribution of ss, the spatial maps of three geo-layers (the thickness and depth of the consolidating layer, the bottom elevation of the reclaimed sandfill) are estimated by using kriging techniques. For all three geo-layers considered in this study, the ordinary kriging is found to give more reliable estimates than the kriging with a trend and simple kriging. It is observed that the coefficients of variation (COVs) of Cα/Cc and Cc/(1+e0) have similar influences on the COV of ss. It is also shown that the COV of cv has less effect on the COV of ss than the COVs of Cα/Cc and Cc/(1+e0) although the COV of cv is larger than that of Cα/Cc and Cc/(1+e0). The COV of ss evaluated by considering all the COVs of soil properties is 0.420, which is 1.4-2.7 times larger than that determined by considering the COV of an individual soil property separately. It is observed that the area exceeding a design criterion increases as the COV of Cα/(1+e0) increases and the probabilistic design criterion (α) decreases. For Songdo New City, the area ratio decreases from 0.47 for α value of 0.05 to 0.04 for α value of 0.45. The design procedure presented in this paper could be used in the decision making process for a geotechnical engineering design.

KW - Coefficient of variation

KW - Kriging

KW - Probabilistic method

KW - Secondary compression

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DO - 10.1016/j.enggeo.2011.06.008

M3 - Article

AN - SCOPUS:80053332418

SN - 0013-7952

VL - 122

SP - 239

EP - 248

JO - Engineering Geology

JF - Engineering Geology

IS - 3-4

ER -

Probabilistic evaluation of spatial distribution of secondary compression by using kriging estimates of geo-layers

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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