3D slope stability analysis with spatially variable and cross-correlated shear strength parameters

Divya Varkey; Michael Hicks; Phil Vardon

3D slope stability analysis with spatially variable and cross-correlated shear strength parameters

Divya Varkey, Michael Hicks, Phil Vardon

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

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Abstract

The paper investigates the stability of slopes with spatially variable and cross-correlated shear strength parameters in 3D. The influence of various cross-correlation coefficients between these parameters on the probability of 3D slope failure has been considered for different levels of anisotropy of the heterogeneity in the shear strength. Specifically, 3D random fields of cohesion and friction angle were generated using the Local Average Subdivision method, and these were correlated with each other by various degrees. The fields were then linked to finite element analyses within a Monte Carlo framework. The results indicate that a positive cross-correlation between the parameters reduces the slope reliability, whereas a negative cross-correlation between the parameters increases the reliability.

Original language	English
Title of host publication	Proceedings of the 9th European Conference on Numerical Methods in Geotechnical Engineering (NUMGE 2018)
Editors	A.S. Cardoso, J.L. Borges, P.A. Costa, A.T. Gomes, J.C. Marques, C.S. Vieira
Publisher	CRC Press / Balkema - Taylor & Francis Group
Pages	543-548
Number of pages	6
ISBN (Electronic)	978-1-138-33198-3
ISBN (Print)	9781138544468
Publication status	Published - 2018
Event	NUMGE 2018: 9th European Conference on Numerical Methods in Geotechnical Engineering - Porto, Portugal Duration: 25 Jun 2018 → 27 Jun 2018 Conference number: 9 http://www.numge2018.pt/

Publication series

Name	Numerical Methods in Geotechnical Engineering
Volume	9

Conference

Conference	NUMGE 2018: 9th European Conference on Numerical Methods in Geotechnical Engineering
Abbreviated title	NUMGE 2018
Country/Territory	Portugal
City	Porto
Period	25/06/18 → 27/06/18
Internet address	http://www.numge2018.pt/

Bibliographical note

Green Open Access added to TU Delft Institutional Repository ‘You share, we take care!’ – Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.

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Varkey, D., Hicks, M., & Vardon, P. (2018). 3D slope stability analysis with spatially variable and cross-correlated shear strength parameters. In A. S. Cardoso, J. L. Borges, P. A. Costa, A. T. Gomes, J. C. Marques, & C. S. Vieira (Eds.), Proceedings of the 9th European Conference on Numerical Methods in Geotechnical Engineering (NUMGE 2018) (pp. 543-548). (Numerical Methods in Geotechnical Engineering; Vol. 9). CRC Press / Balkema - Taylor & Francis Group.

Varkey, Divya ; Hicks, Michael ; Vardon, Phil. / 3D slope stability analysis with spatially variable and cross-correlated shear strength parameters. Proceedings of the 9th European Conference on Numerical Methods in Geotechnical Engineering (NUMGE 2018). editor / A.S. Cardoso ; J.L. Borges ; P.A. Costa ; A.T. Gomes ; J.C. Marques ; C.S. Vieira. CRC Press / Balkema - Taylor & Francis Group, 2018. pp. 543-548 (Numerical Methods in Geotechnical Engineering).

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title = "3D slope stability analysis with spatially variable and cross-correlated shear strength parameters",

abstract = "The paper investigates the stability of slopes with spatially variable and cross-correlated shear strength parameters in 3D. The influence of various cross-correlation coefficients between these parameters on the probability of 3D slope failure has been considered for different levels of anisotropy of the heterogeneity in the shear strength. Specifically, 3D random fields of cohesion and friction angle were generated using the Local Average Subdivision method, and these were correlated with each other by various degrees. The fields were then linked to finite element analyses within a Monte Carlo framework. The results indicate that a positive cross-correlation between the parameters reduces the slope reliability, whereas a negative cross-correlation between the parameters increases the reliability.",

author = "Divya Varkey and Michael Hicks and Phil Vardon",

note = "Green Open Access added to TU Delft Institutional Repository {\textquoteleft}You share, we take care!{\textquoteright} – Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.; NUMGE 2018: 9th European Conference on Numerical Methods in Geotechnical Engineering, NUMGE 2018 ; Conference date: 25-06-2018 Through 27-06-2018",

year = "2018",

language = "English",

isbn = "9781138544468",

series = "Numerical Methods in Geotechnical Engineering",

publisher = "CRC Press / Balkema - Taylor & Francis Group",

pages = "543--548",

editor = "A.S. Cardoso and J.L. Borges and P.A. Costa and A.T. Gomes and J.C. Marques and C.S. Vieira",

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Varkey, D , Hicks, M & Vardon, P 2018, 3D slope stability analysis with spatially variable and cross-correlated shear strength parameters. in AS Cardoso, JL Borges, PA Costa, AT Gomes, JC Marques & CS Vieira (eds), Proceedings of the 9th European Conference on Numerical Methods in Geotechnical Engineering (NUMGE 2018). Numerical Methods in Geotechnical Engineering, vol. 9, CRC Press / Balkema - Taylor & Francis Group, pp. 543-548, NUMGE 2018: 9th European Conference on Numerical Methods in Geotechnical Engineering, Porto, Portugal, 25/06/18.

3D slope stability analysis with spatially variable and cross-correlated shear strength parameters. / Varkey, Divya ; Hicks, Michael ; Vardon, Phil.
Proceedings of the 9th European Conference on Numerical Methods in Geotechnical Engineering (NUMGE 2018). ed. / A.S. Cardoso; J.L. Borges; P.A. Costa; A.T. Gomes; J.C. Marques; C.S. Vieira. CRC Press / Balkema - Taylor & Francis Group, 2018. p. 543-548 (Numerical Methods in Geotechnical Engineering; Vol. 9).

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

TY - GEN

T1 - 3D slope stability analysis with spatially variable and cross-correlated shear strength parameters

AU - Varkey, Divya

AU - Hicks, Michael

AU - Vardon, Phil

N1 - Conference code: 9

PY - 2018

Y1 - 2018

N2 - The paper investigates the stability of slopes with spatially variable and cross-correlated shear strength parameters in 3D. The influence of various cross-correlation coefficients between these parameters on the probability of 3D slope failure has been considered for different levels of anisotropy of the heterogeneity in the shear strength. Specifically, 3D random fields of cohesion and friction angle were generated using the Local Average Subdivision method, and these were correlated with each other by various degrees. The fields were then linked to finite element analyses within a Monte Carlo framework. The results indicate that a positive cross-correlation between the parameters reduces the slope reliability, whereas a negative cross-correlation between the parameters increases the reliability.

AB - The paper investigates the stability of slopes with spatially variable and cross-correlated shear strength parameters in 3D. The influence of various cross-correlation coefficients between these parameters on the probability of 3D slope failure has been considered for different levels of anisotropy of the heterogeneity in the shear strength. Specifically, 3D random fields of cohesion and friction angle were generated using the Local Average Subdivision method, and these were correlated with each other by various degrees. The fields were then linked to finite element analyses within a Monte Carlo framework. The results indicate that a positive cross-correlation between the parameters reduces the slope reliability, whereas a negative cross-correlation between the parameters increases the reliability.

M3 - Conference contribution

SN - 9781138544468

T3 - Numerical Methods in Geotechnical Engineering

SP - 543

EP - 548

BT - Proceedings of the 9th European Conference on Numerical Methods in Geotechnical Engineering (NUMGE 2018)

A2 - Cardoso, A.S.

A2 - Borges, J.L.

A2 - Costa, P.A.

A2 - Gomes, A.T.

A2 - Marques, J.C.

A2 - Vieira, C.S.

PB - CRC Press / Balkema - Taylor & Francis Group

T2 - NUMGE 2018: 9th European Conference on Numerical Methods in Geotechnical Engineering

Y2 - 25 June 2018 through 27 June 2018

ER -

Varkey D , Hicks M , Vardon P. 3D slope stability analysis with spatially variable and cross-correlated shear strength parameters. In Cardoso AS, Borges JL, Costa PA, Gomes AT, Marques JC, Vieira CS, editors, Proceedings of the 9th European Conference on Numerical Methods in Geotechnical Engineering (NUMGE 2018). CRC Press / Balkema - Taylor & Francis Group. 2018. p. 543-548. (Numerical Methods in Geotechnical Engineering).

3D slope stability analysis with spatially variable and cross-correlated shear strength parameters

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