Abstract

Most of the approaches for diagnosis or prognosis of deteriorated reinforced concrete (RC) structures are based on two stages: acquiring data (concrete properties, quantitative degradation information), and then predicting the evolution of degradation by using appropriate models. Spatial variability of both properties and degradation processes cannot be neglected in the lifecycle assessment and implies that (i) data should be acquired for a representative part of the concrete surface and (ii) models should be capable of dealing with this variability. However, the assessment and modeling of spatial variability is not a straightforward task particularly when uncertainties affect the measurements or when the number of measurements is limited. The present paper aims at studying the capability of analytical carbonation models to deal with the spatial variability of model inputs in terms of spatial correlation of model outputs. Analytical models are considered herein because they provide practical and usual tools in engineering. This paper focuses on the case of a RC wall exposed to atmospheric carbonation where concrete properties and carbonation depths were measured by destructive techniques at several points over a linear portion of a wall within the framework of the French ANR EVADEOS project. Uncertainties due to experimental devices and procedures are estimated and propagated throughout random field models to account for spatial variability of spatial observations. Correspondence indexes are proposed to rank carbonation models with respect to their ability of reflecting the observed correlation profiles of carbonation depth. It was found that for the available database the proposed correspondence index that incorporates uncertainties was useful to assess the capabilities of models to deal with the spatial variability.

Highlights

  • Reinforced concrete (RC) is a material widely used in the construction of infrastructure and buildings because of its relative low cost and large durability

  • The inherent spatial variability of concrete properties and cover depth is of prime importance and must be properly characterized and modeled (Li, 2004; Stewart and Mullard, 2007; Peng and Stewart, 2014); it implies that models must be selected, on the one hand, for representing the carbonation process and predicting corrosion initiation

  • Concrete mix, execution, and environmental conditions have an important impact on the concrete porosity, and the spatial variability of porosity between two components supposedly casted with the same concrete is not necessarily the same

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Summary

INTRODUCTION

Reinforced concrete (RC) is a material widely used in the construction of infrastructure and buildings because of its relative low cost and large durability. The inherent spatial variability of concrete properties and cover depth is of prime importance and must be properly characterized and modeled (Li, 2004; Stewart and Mullard, 2007; Peng and Stewart, 2014); it implies that models must be selected, on the one hand, for representing the carbonation process and predicting corrosion initiation. Concrete mix, execution, and environmental conditions have an important impact on the concrete porosity, and the spatial variability of porosity between two components supposedly casted with the same concrete is not necessarily the same This issue was addressed within the framework of the ANR-EVADEOS project (funded by the French National Research Agency) where a wide experimental investigation was undertaken on several RC structures. We propose in Section “Metrics for Estimating the Quality of the Spatial Variability Predictions” various metrics used to evaluate and compare the capability of analytical models to deal with spatial variability

INVESTIGATED STRUCTURE
SIMULATION OF RANDOM FIELDS
ΔSr φm
Uncertainties from Measurements
Gross Outliers
Uncertainty of Assessment for Correlation Coefficient
METRICS FOR ESTIMATING THE QUALITY OF THE SPATIAL VARIABILITY PREDICTIONS
Perfect Measurements
Uncertain Measurements
Side A
Side C
CONCLUSION
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