Network condition simulator for benchmarking sewer deterioration models.

An accurate description of aging and deterioration of urban drainage systems is necessary for optimal investment and rehabilitation planning. Due to a general lack of suitable datasets, network condition models are rarely validated, and if so with varying levels of success. We therefore propose a novel network condition simulator (NetCoS) that produces a synthetic population of sewer sections with a given condition-class distribution. NetCoS can be used to benchmark deterioration models and guide utilities in the selection of appropriate models and data management strategies. The underlying probabilistic model considers three main processes: a) deterioration, b) replacement policy, and c) expansions of the sewer network. The deterioration model features a semi-Markov chain that uses transition probabilities based on user-defined survival functions. The replacement policy is approximated with a condition-class dependent probability of replacing a sewer pipe. The model then simulates the course of the sewer sections from the installation of the first line to the present, adding new pipes based on the defined replacement and expansion program. We demonstrate the usefulness of NetCoS in two examples where we quantify the influence of incomplete data and inspection frequency on the parameter estimation of a cohort survival model and a Markov deterioration model. Our results show that typical available sewer inventory data with discarded historical data overestimate the average life expectancy by up to 200 years. Although NetCoS cannot prove the validity of a particular deterioration model, it is useful to reveal its possible limitations and shortcomings and quantifies the effects of missing or uncertain data. Future developments should include additional processes, for example to investigate the long-term effect of pipe rehabilitation measures, such as inliners.

[1]  Richard N. Palmer,et al.  Expert System for Prioritizing the Inspection of Sewers: Knowledge Base Formulation and Evaluation , 2002 .

[2]  M Maurer,et al.  Specific net present value: an improved method for assessing modularisation costs in water services with growing demand. , 2009, Water research.

[3]  A. T. Lipkow,et al.  Life cycle assessment of water mains and sewers , 2002 .

[4]  Jim Freeman,et al.  Stochastic Processes (Second Edition) , 1996 .

[5]  J. P. Davies,et al.  Factors influencing the structural deterioration and collapse of rigid sewer pipes , 2001 .

[6]  Christos Makropoulos,et al.  Fuzzy Logic Spatial Decision Support System for Urban Water Management , 2003 .

[7]  S Djordjević,et al.  SIPSON--simulation of interaction between pipe flow and surface overland flow in networks. , 2005, Water science and technology : a journal of the International Association on Water Pollution Research.

[8]  Samer Madanat,et al.  Semiparametric Hazard Rate Models of Reinforced Concrete Bridge Deck Deterioration , 2001 .

[9]  Balvant Rajani,et al.  Comprehensive review of structural deterioration of water mains: statistical models , 2001 .

[10]  Yehuda Kleiner,et al.  Scheduling Inspection and Renewal of Large Infrastructure Assets , 2001 .

[11]  J. B. Ellis,et al.  Towards a better understanding of sewer exfiltration. , 2008, Water research.

[12]  Samer Madanat,et al.  Poisson Regression Models of Infrastructure Transition Probabilities , 1995 .

[13]  J M Yan,et al.  Fuzzy Approach for Pipe Condition Assessment , 2003 .

[14]  Samer Madanat,et al.  Computation of Infrastructure Transition Probabilities using Stochastic Duration Models , 2002 .

[15]  Guru Kulandaivel,et al.  Pipeline Condition Prediction Using Neural Network Models , 2005 .

[16]  Tarek Zayed,et al.  Infrastructure Condition Prediction Models for Sustainable Sewer Pipelines , 2008 .

[17]  M. Evans Statistical Distributions , 2000 .

[18]  Sheldon M. Ross,et al.  Stochastic Processes , 2018, Gauge Integral Structures for Stochastic Calculus and Quantum Electrodynamics.

[19]  J. W. Delleur Sewerage Failure, Diagnosis and Rehabilitation , 1994 .

[20]  George Morcous,et al.  Modeling Bridge Deterioration Using Case-Based Reasoning , 2002 .

[21]  Matthew G. Karlaftis,et al.  Probabilistic Infrastructure Deterioration Models with Panel Data , 1997 .

[22]  Frank E. Harrell,et al.  Regression Modeling Strategies: With Applications to Linear Models, Logistic Regression, and Survival Analysis , 2001 .

[23]  R. K. Herz,et al.  Exploring rehabilitation needs and strategies for water distribution networks , 1998 .

[24]  D. Clegg,et al.  UK State-of-the-Art – Sewerage Rehabilitation , 1988 .

[25]  J. L. Korving Probabilistic assessment of the performance of combined sewer systems , 2004 .

[26]  G. Kuczera,et al.  Markov Model for Storm Water Pipe Deterioration , 2002 .

[27]  F H L R Clemens,et al.  Probabilistic modeling of sewer deterioration using inspection data. , 2008, Water science and technology : a journal of the International Association on Water Pollution Research.

[28]  J. P. Davies,et al.  The structural condition of rigid sewer pipes : a statistical investigation , 2001 .

[29]  S Sægrov,et al.  Rehabilitation of water networks , 1999 .

[30]  Daniele B. Laucelli,et al.  Asset deterioration analysis using multi-utility data and multi-objective data mining , 2009 .

[31]  Nikolaos Limnios,et al.  Semi-Markov Chains and Hidden Semi-Markov Models toward Applications: Their Use in Reliability and DNA Analysis , 2008 .

[32]  Theo G. Schmitt,et al.  Analysis and modeling of flooding in urban drainage systems , 2004 .

[33]  Balvant Rajani,et al.  Using limited data to assess future needs , 1999 .

[34]  W. Bauwens,et al.  Modeling the structural deterioration of urban drainage pipes: the state-of-the-art in statistical methods , 2010 .

[35]  Huu Dung Tran,et al.  Investigation of deterioration models for stormwater pipe systems , 2007 .

[36]  Vani Samyuktha Kathula,et al.  Structural distress condition modeling for sanitary sewers , 2001 .

[37]  George Morcous,et al.  Case-Based Reasoning System for Modeling Infrastructure Deterioration , 2002 .

[38]  Dulcy M. Abraham,et al.  Estimating Transition Probabilities in Markov Chain-Based Deterioration Models for Management of Wastewater Systems , 2006 .

[39]  R Baur,et al.  Selective inspection planning with ageing forecast for sewer types. , 2002, Water science and technology : a journal of the International Association on Water Pollution Research.

[40]  Dulcy M. Abraham,et al.  CHALLENGING ISSUES IN MODELING DETERIORATION OF COMBINED SEWERS , 2001 .

[41]  Samer Madanat,et al.  Estimation of infrastructure transition probabilities from condition rating data , 1995 .

[42]  Rehan Sadiq,et al.  Modelling the deterioration of buried infrastructure as a fuzzy Markov process , 2006 .