Probabilistic Carbonation Simulations in Concrete Based on Marble Powder

2020 ◽  
Vol 1013 ◽  
pp. 114-119
Author(s):  
Azhar Badaoui
Keyword(s):  
Monte Carlo ◽  
Probability Distribution ◽  
Random Variable ◽  
Carbonation Depth ◽  
Concrete Carbonation ◽  
Normal Probability ◽  
Powder Diameter ◽  
Marble Powder ◽  
Normal Probability Distribution ◽  
Log Normal

The aim of this paper is the evaluation of concrete carbonation depth from a probabilistic analysis, focusing specifically on the study of the marble powder diameters randomness effect on the reinforced concrete carbonation. Monte Carlo simulations are realized under the assumption that the marble powder diameter (Dmp) is random variable with a log-normal probability distribution.

Properties of the three-parameter log normal probability distribution

1975 ◽  
Vol 11 (2) ◽  
pp. 229-235 ◽  
Author(s):  
Stephen J. Burges ◽  
Dennis P. Lettenmaier ◽  
Courtney L. Bates
Keyword(s):  
Probability Distribution ◽  
Normal Probability ◽  
Normal Probability Distribution ◽  
Log Normal

ESTIMATION OF THE FLOOD MAXIMUM VOLUMES FOR VARIOUS DURATIONS OF THE RIVER RUNOFF AND THEIR MUTUAL DEPENDANCES: A CASE STUDY ON HRON RIVER IN SLOVAKIA

2020 ◽  
Author(s):  
Veronika Bačová Mitková ◽  
◽  
Dana Halmová ◽  
Keyword(s):  
Probability Distribution ◽  
Extreme Values ◽  
Random Variable ◽  
Distribution Functions ◽  
Mathematical Tool ◽  
Return Periods ◽  
Copula Functions ◽  
Time Duration ◽  
Positive Dependence ◽  
Log Normal

This work deals with the determination of the annual maximum discharge volumes on the Hron River for the runoff time duration t = 2, 5, 10, and 20 days. The series of 84 years (1931–2015) mean daily discharges of the Hron River at Banská Bystrica station was used as input data to calculate the maximum annual volumes of runoff of the Hron River. Subsequently, the theoretical curves of exceedance of the maximal discharge volumes were determined by the LogPearson distribution of the Type III. This type of probability distribution is used to estimate maximum (extreme) values across a range of natural processes. The results of the estimated T-year volumes by using PL III distribution were compared to other types of theoretical distribution functions used in hydrological extreme analyses in Slovakia (Gamma, Log-normal, etc.). The second part of our work was focused on the bivariate modelling of the relationship between T-year maximum volumes with different duration and peak discharges. In the case of modelling without evaluating this mutual dependence of the flood wave characteristics, they may be overestimated (in the case of the negative dependence) or underestimated (in the case of the positive dependence). The Archimedean class of copula functions was used as mathematical tool for the dependence modelling. The LP III distribution was used as marginal probability distribution function. Subsequently joint and conditional return periods of the T-year maximum annual flows and T-year maximum volumes with different time duration were calculated. The first one defines joint return periods as: the return periods using one random variable equaling or exceeding a certain magnitude and/or using another random variable equaling or exceeding another certain magnitude. The second one is conditional return periods for one random variable, given that another random variable equals or exceeds a specific magnitude.

scholarly journals Performance evaluation and coefficients of reliability for waste stabilization ponds in northeast Brazil

2021 ◽  
Vol 16 (1) ◽  
pp. 1
Author(s):  
Matheus Sales Alves ◽  
Fernando José Araújo da Silva ◽  
André Luís Calado Araújo ◽  
Erlon Lopes Pereira
Keyword(s):  
Northeast Brazil ◽  
Concentration Data ◽  
Waste Stabilization Ponds ◽  
Stabilization Ponds ◽  
Waste Stabilization ◽  
Normal Probability ◽  
Thermotolerant Coliforms ◽  
Normal Probability Distribution ◽  
Log Normal ◽  
Domestic Effluent

This paper assesses the reliability of Waste Stabilization Ponds (WSP) and proposes an alternative approach to WSP design based on the calculation of coefficient of reliability (COR) from an acceptable measure of violation of discharge standards. For that, data were collected from 10 full-scale systems operating in Northeast Brazil. All systems receive predominantly domestic effluent and are composed of one facultative pond and two serial maturation ponds. Different levels of restriction for effluent discharge were considered regarding the parameters: BOD, COD, total suspended solids, ammonia and thermotolerant coliforms. The Log-normal Probability Distribution Function (PDF) was able to represent the behavior of the concentration data in the effluent and, therefore, allowed the COR calculation. The COR was obtained from the coefficient of variation (CV) of the concentrations and the standardized normal variable associated with a 95% probability of non-exceedance. The observed dispersion of the results proved to be detrimental to the adoption of a single COR value for the evaluated parameters. In addition, the comparison between observed and design/operational concentration for optimal performance showed that the 95% reliability scenario represents a less achievable target for WSP systems.

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