Statistical Distributions of Uncertainty and Variability in Activated Sludge Model Parameters

2004 ◽  
Vol 76 (7) ◽  
pp. 2672-2685 ◽  
Author(s):  
Chris D. Cox
1993 ◽  
Vol 28 (11-12) ◽  
pp. 163-171 ◽  
Author(s):  
Weibo (Weber) Yuan ◽  
David Okrent ◽  
Michael K. Stenstrom

A model calibration algorithm is developed for the high-purity oxygen activated sludge process (HPO-ASP). The algorithm is evaluated under different conditions to determine the effect of the following factors on the performance of the algorithm: data quality, number of observations, and number of parameters to be estimated. The process model used in this investigation is the first HPO-ASP model based upon the IAWQ (formerly IAWPRC) Activated Sludge Model No. 1. The objective function is formulated as a relative least-squares function and the non-linear, constrained minimization problem is solved by the Complex method. The stoichiometric and kinetic coefficients of the IAWQ activated sludge model are the parameters focused on in this investigation. Observations used are generated numerically but are made close to the observations from a full-scale high-purity oxygen treatment plant. The calibration algorithm is capable of correctly estimating model parameters even if the observations are severely noise-corrupted. The accuracy of estimation deteriorates gradually with the increase of observation errors. The accuracy of calibration improves when the number of observations (n) increases, but the improvement becomes insignificant when n>96. It is also found that there exists an optimal number of parameters that can be rigorously estimated from a given set of information/data. A sensitivity analysis is conducted to determine what parameters to estimate and to evaluate the potential benefits resulted from collecting additional measurements.


2011 ◽  
Vol 13 (4) ◽  
pp. 575-595 ◽  
Author(s):  
Giorgio Mannina ◽  
Alida Cosenza ◽  
Peter A. Vanrolleghem ◽  
Gaspare Viviani

Activated sludge models can be very useful for designing and managing wastewater treatment plants (WWTPs). However, as with every model, they need to be calibrated for correct and reliable application. Activated sludge model calibration is still a crucial point that needs appropriate guidance. Indeed, although calibration protocols have been developed, the model calibration still represents the main bottleneck to modelling. This paper presents a procedure for the calibration of an activated sludge model based on a comprehensive sensitivity analysis and a novel step-wise Monte Carlo-based calibration of the subset of influential parameters. In the proposed procedure the complex calibration issue is tackled both by making a prior screening of the most influential model parameters and by simplifying the problem of finding the optimal parameter set by splitting the estimation task into steps. The key point of the proposed step-wise procedure is that calibration is undertaken for sub-groups of variables instead of solving a complex multi-objective function. Moreover, even with this step-wise approach parameter identifiability issues may occur, but this is dealt with by using the general likelihood uncertainty estimation (GLUE) method, that so far has rarely been used in the field of wastewater modelling. An example from a real case study illustrates the effectiveness of the proposed methodology. Particularly, a model was built for the simulation of the nutrient removal in a Bardenpho scheme plant. The model was successfully and efficiently calibrated to a large WWTP in Sicily.


1992 ◽  
Vol 25 (6) ◽  
pp. 141-148 ◽  
Author(s):  
Oskar Wanner ◽  
Jürg Kappeier ◽  
Willi Gujer

Two alternative methods, which both can be used to estimate some of the kinetic parameters of the IAWPRC Activated Sludge Model Nr. 1, are compared. By one method, which is based on professional experience and expertise, the unknown parameter values are determined one after the other by a sequential procedure. By the other method, the parameter values are determined simultaneously by use of a mathematical optimization technique. Both methods allow a good fit of a set of 25 experimental oxygen respiration rate time-series and yield accurate estimates of the model parameters. The sequential procedure can readily be employed for the evaluation of single experiments. The optimization technique is more suitable for the evaluation of larger data sets and allows for additional analysis of the data.


1994 ◽  
Vol 30 (2) ◽  
pp. 185-192 ◽  
Author(s):  
Anastasios I. Stamou

A mathematical model is presented to predict the concentrations of the active heterotrophic biomass, the readily biodegradable substrate (soluble COD) and the dissolved oxygen (DO) in a completely aerobic oxidation ditch. The model involves the one-dimensional convection-dispersion equations for biomass, COD and DO. Hydrodynamic effects are represented in the model by the values of the average flow velocity and the dispersion coefficient. Biological processes are described in the model according to the IA WPRC activated sludge model, using typical values for the model parameters at 10°C. The equations are solved with the finite volume method. The application of the model leads to the following conclusions: (i) Steady state biomass concentrations are almost constant throughout the ditch. (ii) Steady state COD concentrations in the ditch are very low, and COD removal efficiency is practically independent of the values of the flow velocity and the dispersion coefficient. The distribution of the COD concentration in the ditch is less uniform, when small values of the dispersion coefficient are used. (iii) The distribution of the DO concentration in the ditch is very sensitive to the values of the flow velocity, the dispersion coefficient and to the capacity of the rotors. DO concentrations increase when the dispersion coefficient decreases or the flow velocity increases. (v) Daily sludge production, oxygen requirements and sludge age are calculated equal to 0.44 g (g COD removed)‒1, 0.56 g (g incoming COD)‒1 and 6.3 days, respectively.


1991 ◽  
Vol 23 (4-6) ◽  
pp. 1087-1095 ◽  
Author(s):  
J. Oles ◽  
P. A. Wilderer

A modified version of the IAWPRC activated sludge model was developed to describe the performance of laboratory and pilot scale Sequencing Batch Reactors (SBR). Changes of COD, ammonia and NOx during the SBR process cycle could be reliably predicted after the model parameters were adapted to SBR conditions. Most promising process strategies could be identified with the aid of a simulation program.


2002 ◽  
Vol 45 (6) ◽  
pp. 51-60 ◽  
Author(s):  
J.L. Huisman ◽  
W. Gujer

A deterministic model for wastewater transformations in the sewer that includes activity in the wastewater and in the sewer wall biofilm was developed. It is based on the Activated Sludge Model No. 3 (ASM3). The mass transfer processes in the biofilm were modelled with the effectiveness approach. This approach allowed for fast calculation, required only a limited number of parameters and gave good results. The ASM3 related parameters were calibrated and validated with laboratory experiments. An equation for the aeration of the wastewater through the water surface was determined with a method based on the inert gas sulphur hexafluoride. The other model parameters such as wall roughness, attachment of particles to the biofilm and biofilm erosion were calibrated and validated with field experiments in a main sewer. The resulting model described the oxygen concentration and wastewater respiration well. It can be easily linked for integrated urban hydrology modelling with the WWTP Activated Sludge Model and the newly proposed River Water Quality Model No. 1.


2017 ◽  
Vol 75 (6) ◽  
pp. 1370-1389 ◽  
Author(s):  
Jamal Alikhani ◽  
Imre Takacs ◽  
Ahmed Al-Omari ◽  
Sudhir Murthy ◽  
Arash Massoudieh

A parameter estimation framework was used to evaluate the ability of observed data from a full-scale nitrification–denitrification bioreactor to reduce the uncertainty associated with the bio-kinetic and stoichiometric parameters of an activated sludge model (ASM). Samples collected over a period of 150 days from the effluent as well as from the reactor tanks were used. A hybrid genetic algorithm and Bayesian inference were used to perform deterministic and parameter estimations, respectively. The main goal was to assess the ability of the data to obtain reliable parameter estimates for a modified version of the ASM. The modified ASM model includes methylotrophic processes which play the main role in methanol-fed denitrification. Sensitivity analysis was also used to explain the ability of the data to provide information about each of the parameters. The results showed that the uncertainty in the estimates of the most sensitive parameters (including growth rate, decay rate, and yield coefficients) decreased with respect to the prior information.


2012 ◽  
Vol 178-181 ◽  
pp. 526-530
Author(s):  
Ruo Gu Li ◽  
Yan Qiu Zhang

The step feed model based on the Activated Sludge Model No.1 (ASM1) and the optimum model of the ammonia nitrogen (SNH) removal in wastewater were established. Four aeration tanks under the different step feed ratios were simulated by Matlab Simulink. The results show that single-feeding is conducive to the removal of readily biodegradable substrate (SS) and the growth of heterotrophic organisms (XBH), and to lower the biodegradable substrate (XS) at the same time. The SS, XS, and SNH concentrations are 1.36, 5.98, and 3.02 mg/L respectively in effluent. However, the step-feeding is conducive to the SNH removal, and the autotrophic bacteria (XBA) growth. Under the step feed ratio (25/25/25/25%), the SS, XS, and SNH concentrations are 2.64, 10.79, and 2.61 mg/L respectively. Under the optimum ratio (28.7/23.6/20.4/27.2%), step-feeding could further facilitate the removal of SNH and hinder the removal of organic matter, their concentrations are 2.70, 10.98, and 2.47 mg/L respectively.


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