Analysis of cumulative damage rate of water distribution system with CPP

Hyeong Gi Kim; Hyuk Jae Kwon

doi:10.3741/JKWRA.2024.57.11.873

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2024 Vol.57, Issue 11 Preview Page Next Page

Research Article

Analysis of cumulative damage rate of water distribution system with CPP CPP를 적용한 상수관망의 시간에 따른 피해도 분석

30 November 2024. pp. 873-882

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Abstract

In this study, a cumulative damage assessment model was developed using the CPP (Compound Poisson Process) which is a statistical method, to quantitatively evaluate the aging of water distribution system according to service year. First, to estimate the cumulative damage of the water distribution system over time, the process of damage occurrence (renewal process) and the extent of the damage when it occurs (damage severity process) were determined. To determine the damage occurrence times and intervals over time, known as the renewal process, the HPP (Homogeneous Poisson Process) was used. Additionally, to interpret the extent of the damage, known as the damage severity process, the CPP was employed to establish a cumulative damage analysis model. The aging index and pressure index which affect water distribution system damage were calculated. Due to the absence of domestic corrosion data, corrosion depth values for the aging index were taken from Romanoff’s actual measurement data, while pressure index values were derived from actual pressure measurements in the water distribution system. Subsequently, the cumulative damage model was applied to a real water distribution system. The analysis revealed the damage levels of individual water pipes according to their service year and allowed for the estimation of the cumulative damage in the water distribution system.

Keywords

Service year

Cumulative damage

CPP

Corrosion

Water distribution system

본 연구에서는 상수도관망의 사용연수 증가에 따른 노후도를 정량적으로 산정하기 위해 추계학적 방법인 CPP (Compound Poisson Process)를 사용하여 누적피해도 산정모형을 개발하였다. 우선, 상수도관망의 시간에 따른 누적피해도를 산정하기 위해 피해의 발생과정(리뉴얼과정)과 피해가 발생하였을 경우 피해의 크기(손상도과정)를 결정하였다. 시간에 따른 피해 발생시간과 피해 발생간격인 리뉴얼과정을 결정하기 위해 HPP (Homogeneous Poisson Process)를 사용하였고, 피해의 크기인 손상도과정을 해석하기 위해 CPP를 사용하여 누적피해도 해석모형을 수립하였다. 상수도관망 피해에 영향을 미치는 인자인 노후지수와 압력지수를 산정하였고 노후지수에 사용된 부식깊이는 Romanoff의 실측 부식깊이 데이터를 사용하였으며 압력지수는 실제 상수도관망의 압력 값을 통해 산정하였다. 이후, 피해도 산정모형을 실제 상수도관망에 적용하여 시간에 따른 누적피해도를 산정하였다. 분석결과, 개별 상수도관의 피해도를 확인할 수 있었고 상수도관망의 시간 경과에 따른 누적피해도를 산정할 수 있었다.

키워드

사용연수

누적피해도

CPP (Compound Poisson Process)

부식

상수도관

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Information

Publisher :KOREA WATER RESOURECES ASSOCIATION
Publisher(Ko) :한국수자원학회
Journal Title :Journal of Korea Water Resources Association
Journal Title(Ko) :한국수자원학회 논문집
Volume : 57
No :11
Pages :873-882
Received Date : 2024-10-12
Revised Date : 2024-10-27
Accepted Date : 2024-10-30
DOI :https://doi.org/10.3741/JKWRA.2024.57.11.873

Journal of Korea Water Resources Association ISSN:2799-8746(Print) 2799-8754(Online) 한국수자원학회 논문집

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