La méthode des éléments finis stochastiques en géotechnique

Auvinet, G.; Mellah, R.; Masrouri, Farimah; Rodrı́guez, José F.

doi:10.1051/geotech/2000093067

Cited by 3 publications

(3 citation statements)

References 7 publications

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“…The latter were drawn directly from the geotechnical test results available from the site, namely compression and oedometer tests, soil and column pressuremeter modulus, and were also based on the depths of the incompressible substratum (Dubost et al 2007). These computations integrated finite element modelling with Monte Carlo simulations (software: Castem † ) (Auvinet et al 2000, Elkateb et al 2003, in order to combine the effects of variability in geotechnical parameters, and uncertainties in the geometry of soil layers. In the simulations, the column length was set to a constant value of five meters, and simulations were carried out only when the roof of the incompressible layer was deeper than the base of the column and, in this case, the compressible soil modulus and the thickness of the compressible soils were not correlated.…”

Section: Use Of Statistics and Geostatistics For Improved Prediction mentioning

confidence: 99%

Understanding subsurface geological and geotechnical complexity at various scales in urban soils using a 3D model

Marache

Dubost

Breysse

et al. 2009

Georisk: Assessment and Management of Risk for Engineered Syste

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The construction of a three-dimensional (3D) geological model to the scale of a city (greater Bordeaux area, France) has been undertaken, using several thousand boreholes and several hundred geotechnical tests on a more limited area. Data from some specific geographical areas have also been analysed for the purposes of professional applications related to geotechnical engineering, urban archaeology and asset management of buried networks. This paper focuses on the geotechnical dimensions, uncertainties and associated hazards. First, a geometrical model of the quaternary layer basis was built to the scale of the city, the variogram of which quantifies and models the anisotropic spatial correlation of this layer. Two specific studies were then made, as described in the following:modelling of the stratigraphy, to the scale of the city, in order to assess the depth and extent of the Flandrian formations. The thickness of these formations is directly linked to the staircase terraces of the Garonne river. on-site site analysis of an area where an infrastructure has suffered damage, resulting from large differential settlements, owing to its poor geotechnical properties. We show how geostatistical methods applied to in-situ or laboratory parameters can improve knowledge and understanding of the site, and can be useful in improving the settlement predictions which had been initially underestimated.

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Section: Use Of Statistics and Geostatistics For Improved Prediction mentioning

confidence: 99%

Understanding subsurface geological and geotechnical complexity at various scales in urban soils using a 3D model

Marache

Dubost

Breysse

et al. 2009

Georisk: Assessment and Management of Risk for Engineered Syste

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“…The propagation of the uncertainty was performed either using the Monte Carlo method [17], which is very generic but usually time-consuming, or using approximate techniques [33,34,36,42,43,46,50,51] that are often restricted to small levels of variability. These approaches include the classical Neumann expansion [52] and first-order second moment [53] .…”

Section: Parametric Approachmentioning

confidence: 99%

Probabilistic impedance of foundation: Impact of the seismic design on uncertain soils

Cottereau

Clouteau

Soize³

2008

Earthq Engng Struct Dyn

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SUMMARYIn the linear seismic design of buildings, the (deterministic) substructure method is a customary and efficient approach. However, the existence of spatial variability in the parameters of the mechanical model of the soil, as well as parametric errors, calls for the use of probabilistic approaches in order to provide a reliable design of the structure. The construction of probabilistic models of the soil impedance matrix provides a natural path to such approaches within the context of the substructure method. Two main techniques are described in this paper: a parametric one, typically using the stochastic finite element method, and a nonparametric one, which was introduced more recently. The latter is explored more specifically, and the possibilities it offers in terms of seismic design are presented. In particular, it is shown that it allows for the estimation of quantiles of the quantities of interest, rather than confidence intervals, which lead to highly conservative design.

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“…The management of other types of uncertainties is left to the experience of people or to the use of more adapted models in the decision process. Several authors have discussed the different types of uncertainties and how they can by managed in geotechnical calculations [1][2][3][4][5][6][7][8][9][10][11]. Probabilistic modelling methods are increasingly used in Civil Engineering and specifically in Structural Engineering as shown in [12,13] but still too little in Rock Mechanics, where the variability of data in addition to the uncertainty attached to measurements are the main reasons for which it appears useful in such methods.…”

Section: Introductionmentioning

confidence: 99%

The probabilistic distinct element method

Moarefvand

Verdel

2007

Num Anal Meth Geomechanics

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SUMMARYThe distinct element method (DEM) that appeared in the 70s is now widely used in the field of Rock Mechanics to study the stability of fractured rock masses, the field of application it has been dedicated to. Until now, most of the engineers and researchers who have been using this method with a code such as Udec (Itasca Consulting Group), ignore in their model the uncertainties that come with the physical and mechanical properties of the studied rock masses. Nevertheless, because collected data on rock masses are usually very limited in number, and variable as well as imprecise in nature, investigation on such media is suffering from uncertainty. To take into account the uncertainties in data when carrying numerical models with the DEM and to analyse their effects on model results, we have developed a 'probabilistic distinct element method' based on the Udec code. This method allows entering most of the necessary physical and mechanical data under a probabilistic form and returns results also expressed in this form. Its main interest is then to provide a range of probable results instead of a non-guaranteed unique solution. We have implemented this method by using the technique of approximation of the two first statistical moments to build a probabilistic calculation code named Pudec. It takes into consideration rigid or fully deformable block as well as joint mechanical behaviour and does not consider fluid and heat flow calculations.

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La méthode des éléments finis stochastiques en géotechnique

Cited by 3 publications

References 7 publications

Understanding subsurface geological and geotechnical complexity at various scales in urban soils using a 3D model

Understanding subsurface geological and geotechnical complexity at various scales in urban soils using a 3D model

Probabilistic impedance of foundation: Impact of the seismic design on uncertain soils

The probabilistic distinct element method

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