Estimating horizontal scale of fluctuation with limited CPT soundings

Ching, Jianye; Wu, Tsai-Jung; Stuedlein, Armin W.; Bong, Taeho

doi:10.1016/j.gsf.2017.11.008

Cited by 60 publications

(10 citation statements)

References 45 publications

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“…However, there are numerous publications demonstrate that the horizontal autocorrelation has a great influence on geotechnical site exploration and slope reliability analysis. [57][58][59][60] As observed from Figure 3, the horizontal scale of fluctuation is not infinity as has been assumed by using a one-dimensional (1D) random field in Section 3. To explore the effects of the random field mesh size, probability distribution and horizontal autocorrelation of soil parameters on the RBD results of slopes, the sandy slope example in Section 3 is further investigated here.…”

Section: Discussionmentioning

confidence: 89%

“…Only the vertical autocorrelation of soil properties is taken into account in the RBD of slopes. However, there are numerous publications demonstrate that the horizontal autocorrelation has a great influence on geotechnical site exploration and slope reliability analysis 57–60 . As observed from Figure 3, the horizontal scale of fluctuation is not infinity as has been assumed by using a one‐dimensional (1D) random field in Section 3.…”

Section: Discussionmentioning

confidence: 96%

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Efficient reliability‐based design of slope angles in spatially variable soils with field data

Jiang

Liu

Huang

et al. 2022

Num Anal Meth Geomechanics

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Deterministic single factor of safety method cannot explicitly account for the influences of various sources of uncertainties (e.g., spatial variability of geomaterials, measurement and transformation uncertainties) in stability design of slopes. Many probabilistic methods have been applied to the reliability‐based design (RBD) of slopes, but they typically require performing numerous deterministic slope stability analyses. In this paper, an efficient reliability‐based design method for spatially varying slopes based on field data is proposed. Here, the RBD of a slope angle is concerned. Reliability‐based design is implemented using an inverse First Order Reliability Method (inverse FORM ‐ IFORM). A sandy slope and a cohesive slope are investigated as examples, respectively, to illustrate the proposed method. The results indicate that the proposed method can quickly obtain rational design schemes of slope angles accounting for the spatial variability of soil properties, measurement and transformation uncertainties based on the field data. It can act as a practical and effective tool for the RBD of slopes in two‐dimensional spatially variable soils. Additionally, it is found that the random field mesh size affects the RBD results significantly, while the probability distribution and horizontal autocorrelation of soil parameters have slight influences on the RBD results.

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Section: Discussionmentioning

confidence: 89%

Section: Discussionmentioning

confidence: 96%

Efficient reliability‐based design of slope angles in spatially variable soils with field data

Jiang

Liu

Huang

et al. 2022

Num Anal Meth Geomechanics

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“…It is much more difficult to credibly estimate the values of SOF. Identification of these parameters, which can be understood as the average dimensions of a cluster within which the field values are strongly correlated, is a problem widely described in the literature (Lloret-Cabot et al, 2006;Cami et al, 2020;Bagińska et al, 2018;Ching et al, 2018). It is generally known that the value of SOF in the horizontal direction is larger than the value of SOF in the vertical direction.…”

Section: Basic Assumptionsmentioning

confidence: 99%

Bearing capacity of eccentrically loaded strip footing on spatially variable cohesive soil

Dobrzański

Kawa

2021

Studia Geotechnica Et Mechanica

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The study considers the bearing capacity of eccentrically loaded strip footing on spatially variable, purely cohesive soil. The problem is solved using the random finite element method. The anisotropic random field of cohesion is generated using the Fourier series method, and individual problems within performed Monte Carlo simulations (MCSs) are solved using the Abaqus finite element code. The analysis includes eight different variants of the fluctuation scales and six values of load eccentricity. For each of these 48 cases, 1000 MCSs are performed and the probabilistic characteristics of the obtained values are calculated. The results of the analysis indicate that the mean value of the bearing capacity decreases linearly with eccentricity, which is consistent with Meyerhof's theory. However, the decrease in standard deviation and increase in the coefficient of variation of the bearing capacity observed are non-linear, which is particularly evident for small eccentricities. For one chosen variant of fluctuation scales, a reliability analysis investigating the influence of eccentricity on reliability index is performed. The results of the analysis conducted show that the value of the reliability index can be significantly influenced even by small eccentricities. This indicates the need to consider at least random eccentricities in future studies regarding probabilistic modelling of foundation bearing capacity.

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“…The direct reason for this interest is the popularity of cone penetrometer test soundings (CPT), and consequently, obtaining enough data to estimate the vertical scale of fluctuation (that characterized the considered soil strength spatial variability). On the other hand, the recent development and increase of experience in the field of estimating fluctuation scales techniques accelerate the development towards the use of random field theory to assess bearing capacity (Ching et al, 2018). However, most of the existed studies on this subject use twodimensional simplification of the problem by assuming plane strain conditions (e.g., Fenton and Griffiths 2008;Pieczyńska-Kozłowska et.…”

Section: Introductionmentioning

confidence: 99%

On determining the undrained bearing capacity coefficients of variation for foundations embedded on spatially variable soil

Chwała

2020

Studia Geotechnica Et Mechanica

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AbstractThis paper presents an efficient method and its usage for the three-dimensional random bearing capacity evaluation for square and rectangular footings. One of the objectives of the study is to deliver graphs that can be used to easily estimate the approximated values of coefficients of variations of undrained bearing capacity. The numerical calculations were based on the proposed method that connects three-dimensional failure mechanism, simulated annealing optimization scheme and spatial averaging. The random field is used for describing the spatial variability of undrained shear strength. The proposed approach is in accordance with a constant covariance matrix concept, that results in a highly efficient tool for estimating the probabilistic characteristics of bearing capacity. As a result, numerous three-dimensional simulations were performed to create the graphs. The considered covariance matrix is a result of Vanmarcke’s spatial averaging discretization of a random field in the dissipation regions to the single random variables. The matrix describes mutual correlation between each dissipation region (or between those random variables). However, in the presented approach, the matrix was obtained for the expected value of undrained shear strength and keep constant during Monte Carlo simulations. The graphs were established in dimensionless coordinates that vary in the observable in practice ranges of parameters (i.e., values of fluctuation scales, foundation sizes and shapes). Examples of usage were given in the study to illustrate the application possibility of the graphs. Moreover, the comparison with the approach that uses individually determined covariance matrix is shown.

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Estimating horizontal scale of fluctuation with limited CPT soundings

Cited by 60 publications

References 45 publications

Efficient reliability‐based design of slope angles in spatially variable soils with field data

Efficient reliability‐based design of slope angles in spatially variable soils with field data

Bearing capacity of eccentrically loaded strip footing on spatially variable cohesive soil

On determining the undrained bearing capacity coefficients of variation for foundations embedded on spatially variable soil

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