Characterizing uncertainty in geotechnical design of energy piles based on Bayesian theorem

Hu, Bi Ying; Gong, Quanmei; Zhang, Yueqiang; Yin, Ye Ingrid

doi:10.1007/s11440-022-01535-3

Cited by 9 publications

(3 citation statements)

References 35 publications

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“…Considering the characteristics of the semi-enclosed spaces of the tunnels, the prior distributions could be dynamically determined by Bayesian updating [33][34][35][36][37][38][39]. The prior data of µ, σ, and λ are constantly added to the database with the tunnel excavation, as shown in Figure 7.…”

Section: Relative Error(%)mentioning

confidence: 99%

A New Perspective on Predicting Roughness of Discontinuity from Fractal Dimension D of Outcrops

et al. 2023

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In tunnel construction, predicting the roughness of discontinuity is significant for preventing the collapse of the excavation face. However, currently, we are unable to use a parameter with invariant properties to quantify and predict the roughness of discontinuity. Fractal dimension D is one such parameter that be used to characterize the roughness of discontinuity. The study proposes a new method to predict the roughness of discontinuity from the fractal dimension D of outcrops. The measurement method of the coordinates of outcrops is firstly summarized, and the most suitable method of calculating fractal dimension D is then provided. For characterizing the spatial variability of fractal dimension D, the random field of fractal dimension D is discretized, and the prediction model is then established based on Bayesian theory. The proposed method is applied to one tunnel for predicting the roughness of discontinuity, and the results indicate that the relative errors of prediction are less than 1.5%. The sensitivities of correlation function and discontinuity size are analyzed. It is found that the different correlation functions have no obvious effect on the prediction results, and the proposed method is well applied to relatively large sizes of discontinuity.

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Section: Relative Error(%)mentioning

confidence: 99%

A New Perspective on Predicting Roughness of Discontinuity from Fractal Dimension D of Outcrops

et al. 2023

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“…In contrast, many researchers have conducted computationally intensive analyses for design optimization, uncertainty evaluation (Hu et al [41], Tang and Phoon [77]), or reliability assessment (Gong et al [34], Fan and Liang [27], Yin et al [82]) in various civil engineering applications. However, these analyses often require thousands or millions of attempts, rendering the computational cost using traditional reliability methods unbearable or even infeasible.…”

Section: Introductionmentioning

confidence: 99%

Analyzing Laterally Loaded Piles in Multi-layered Cohesive Soils: a Hybrid Bnwf Approach With Validation and Parametric Study

Gendy

2024

Preprint

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Pile foundations frequently encounter lateral loads originating from various hazards. These types of foundations are commonly utilized in structures like bridges, retaining walls, and high-rise buildings. Analyzing laterally loaded piles presents a complex geotechnical problem that entails considering multiple interrelated design factors. It requires accounting for structural bending behavior, soil-structure interaction, soil nonlinearity, and optimizing for cost-effectiveness. In this paper, the commonly used approach beam on nonlinear Winkler foundation is developed. This methodology involves representing the pile using one-dimensional finite elements in the vertical direction, incorporating nonlinear bending stiffness. Additionally, soil deformation is determined using empirically derived P-y curves, which are obtained from full-scale field tests. By combining the pile stiffness with the soil stiffness considering the full interaction between the pile and the surrounding soil, the complete stiffness matrix of the single pile is formed, leading to a reduction in the number of equations that need to be solved. Both Euler and Timoshenko beams are considered, and the analysis is conducted using both finite elements and finite difference methods. The proposed hybrid approach is validated by comparing its results from analyzing laterally loaded piles in multi-layered soil profiles with those obtained from different models in existing literature and available field measurements. The well-known software ELPLA is equipped with the proposed hybrid technique. Furthermore, a parametric study investigates the behavior of laterally loaded pipe piles in soft and stiff clay, culminating in the presentation of dimensionless curves from this study.

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“…As a more rational design approach, the reliability-based design method was recently adopted in the geotechnical design of energy piles 18 – 22 . In the context of reliability-based design, the performance of energy piles was investigated probabilistically.…”

Section: Introductionmentioning

confidence: 99%

Reliability-based load and resistance factor design model for energy piles

Gong

Zhang

et al. 2022

Sci Rep

Self Cite

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Energy piles have been popular globally with functions of both pile foundation and ground source heat pumps. Although several researches have been devoted to the probabilistic design and assessment of energy piles, the corresponding procedures are too complicated for engineers. As a simple variant of the reliability-based design method, the load and resistance factor design (LRFD) approach for the geotechnical design of energy piles is presented in this study. Firstly, the load-transfer model for energy piles is developed to investigate the effect of cyclic thermal loading on the pile settlement. Then, the LRFD procedures based on first-order reliability method and target reliability method are implemented into two different constrained nonlinear optimization problems, respectively. The proposed LRFD model for energy piles is demonstrated through an example pile and a series of parametric analyses.

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Characterizing uncertainty in geotechnical design of energy piles based on Bayesian theorem

Cited by 9 publications

References 35 publications

A New Perspective on Predicting Roughness of Discontinuity from Fractal Dimension D of Outcrops

A New Perspective on Predicting Roughness of Discontinuity from Fractal Dimension D of Outcrops

Analyzing Laterally Loaded Piles in Multi-layered Cohesive Soils: a Hybrid Bnwf Approach With Validation and Parametric Study

Reliability-based load and resistance factor design model for energy piles

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