Probabilistic assessment of an earth dam stability design using the adaptive polynomial chaos expansion
- PDF / 3,219,586 Bytes
- 17 Pages / 595.276 x 790.866 pts Page_size
- 60 Downloads / 180 Views
ORIGINAL PAPER
Probabilistic assessment of an earth dam stability design using the adaptive polynomial chaos expansion Xiangfeng Guo 1 & Qiangqiang Sun 1 & Daniel Dias 2,3 & Eric Antoinet 3 Received: 16 October 2019 / Accepted: 11 May 2020 # Springer-Verlag GmbH Germany, part of Springer Nature 2020
Abstract Assessment of the stability for an earth dam under seismic loadings is presented in a probabilistic framework. The geotechnical parameters measured at the dam site permit a realistic description of the soil variability for the dam and the superficial foundation. An active learning sparse polynomial chaos expansions (A-bSPCE) combined with Monte Carlo simulation is employed to quantify the uncertainty propagation. The proposed dam design is assessed within two seismic scenarios: the first one considers a constant pseudo-static acceleration while the second one accounts for the uncertainties in seismic loadings by modeling the pseudo-static acceleration as a random variable. The probabilistic assessments for variation of the amplitude and standard deviation of the seismic loading are performed. In addition, the effects of the correlation coefficient between the soil’s shear strength parameters and the soil spatial variability are discussed. It is found that these effects are more significant in the first scenario. The obtained results permit an evaluation of the preliminary dam design and to provide guidance on seismic safety enhancement for the final design phase. The present study also highlights the accuracy and efficiency of the employed reliability method. It is shown that the total computational time of a probabilistic analysis can be reduced from several days to only 20 min by using the A-bSPCE. Keywords Earth dam . Probabilistic analysis . Seismic stability . Sparse polynomial chaos expansions
Introduction In recent years, there has been an increasing interest in using probabilistic approaches to analyze earth dams (Babu and Srivastava 2010; Fenton and Griffiths 1996; Guo et al. 2018, 2019b; Liang et al. 1999; Mouyeaux et al. 2018). It allows rationally considering the input uncertainties of a computational model for earth dams given that the uncertainties (e.g., soil variability and future seismic loadings) are unavoidable for such structures. A probabilistic analysis consists of 3 steps. Firstly, a computational model (deterministic model) should be prepared. For earth dams, a limit equilibrium model (Guo et al. 2019b; Johari and Mousavi 2018; Nguyen and Likitlersuang 2019) or a
* Qiangqiang Sun [email protected] 1
Laboratory 3SR, CNRS UMR 5521, Grenoble Alpes University, Grenoble, France
2
School of Automotive and Transportation Engineering, Hefei University of Technology, Hefei, China
3
Antea Group, Antony, France
finite element/difference model (Fenton and Griffiths 1996) can be used. The former focuses on computing the factor of safety (FoS) for the dam slope, while the latter is able to estimate the dam displacement, seepage, settlement, and FoS (by using the shear strength r
Data Loading...
