• Proceedings of the Korea Water Resources Association Conference
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• 2021.06a
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• pp.420-420
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• 2021

상수도관은 시간이 경과됨에 따라 부식이 발생하고 이로 인해 관의 두께 및 강도가 감소하여 점차 상수도관의 기능을 상실하게 된다. 이러한 노후 상수도관은 누수, 적수 등 수자원에 막대한 경제적인 손실을 발생시키고 사람들에게 많은 불편을 끼친다. 현재 우리나라도 전체 상수도관 중 노후 상수도관이 많은 부분을 차지하고 있기 때문에 교체나 개선이 시급한 실정이다. 하지만 전체 상수도관을 교체하는 것은 막대한 예산이 필요하기 때문에 현실적으로 어려운 문제이다. 따라서 상수도관의 노후도 분석을 통하여 상수관망의 최적 교체 우선순위를 판단하고 교체를 실시하는 것이 필요하다. 본 연구에서는 노후도 분석에 중요한 관의 부식깊이와 잔존수명을 예측하고 신뢰성해석을 통해 파괴확률을 산정하였다. 이를 위해 Romanoff(1957)와 환경부(2002)에서 실측한 상수관의 관종에 따른 관두께 변화를 적용하여 해석하였다. 실측 자료를 통해 부식깊이, 잔존수명 예측 모델을 수립하였으며 이에 따른 관의 파괴확률을 산정하였다. Romanoff(1957)의 혼합강관과 주철관에 대한 실측 자료를 사용하여 상수관의 사용연수가 10년, 20년, 30년 경과됨에 따른 부식깊이와 관파괴확률을 산정하였다. 혼합강관의 경우 사용연수에 따른 부식깊이는 0.57mm, 0.92mm, 1.21mm으로 산정되었으며, 주철관의 경우 0.16mm, 0.24mm, 0.31mm으로 산정되었다. 또한 신뢰성모형을 직경 300mm관에 적용한 결과 최대 상수도압 15kg/cm²에서 혼합강관의 사용연수에 따른 파괴확률은 3.36%, 4.65%, 6.18%로 나타났으며 주철관은 1.36%, 2.50%, 2.68%로 나타났다. 환경부(2002)의 주철관에 대한 부식 실측 자료를 통해 상수관의 사용연수 10년, 20년, 30년 경과에 따른 부식깊이와 관파괴확률을 산정하였으며 초기 관두께 측정 자료를 통해 잔존수명도 예측하였다. 부식깊이는 1.02mm, 1.25mm, 1.41mm으로 산정되었으며, 파괴확률은 5.15%, 6.30%, 7.35%로 산정되었다. 그리고 잔존수명의 경우 부식률이 20%일 때, 잔존수명은 약 30년으로 산정되었다.

• 한국방재학회:학술대회논문집
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• 2009.02b
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• pp.63.2-63.2
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• 2009

• KSCE Journal of Civil and Environmental Engineering Research
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• v.30 no.5D
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• pp.497-504
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• 2010

In this paper, the author presents a reliability estimation technique to analyze the effects of traffic loads on pavement mean life based on the national highway database of Suwon and Uijeongbu region from 1999 to 2008. The estimation of the mean life, its standard deviation and reliability for pavement sections are calculated by using an appropriate distribution, Lognormal distribution, based on reliability theory. Furthermore, the probability paper method and Maximum likelihood estimation are both used to estimate parameters. The author found that mean life of newly constructed sections and over-layed sections is about 6.5 to 7.9 years and 7.3 to 9.1 years, respectively. The author also ascertained that the results of cumulative failure probability for pavement life between the proposed methods and observed data are similar. Such an assessment methodology and measures based on reliability theory can provide useful information for maintenance plans in pavement management systems as long as additional life data on pavement sections are accumulated.

• Journal of the Korea institute for structural maintenance and inspection
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• v.22 no.1
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• pp.32-39
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• 2018

Repairing timing and the extended service life with repairing are very important for cost estimation during operation. Conventionally used model for repair cost shows a step-shaped cost elevation without consideration of variability of extended service life due to repairing. In the work, RC(Reinforced Concrete) Column is considered for probabilistic evaluation of repairing number and cost. Two mix proportions are prepared and chloride behavior is evaluated with quantitative exterior conditions. The repairing frequency and cost are investigated with varying service life and the extended service life with repairing which were derived from the chloride behavior analysis. The effect of COV(Coefficient of Variation) on repairing frequency is small but the 1st repairing timing is shown to be major parameter. The probabilistic model for repairing cost is capable of reducing the number of repairing with changing the intended service life unlike deterministic model of repairing cost since it can provide continuous repair cost with time.

• Journal of the Korea institute for structural maintenance and inspection
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• v.23 no.2
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• pp.10-19
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• 2019

Management plan with repairing is essential for RC structures exposed to chloride attack since durability problems occur with extended service life. Conventionally deterministic method is adopted for evaluation of service life and repair cost, however more reasonable repair cost can be obtained through continuous repair cost from probabilistic maintenance technique. Unlike the previous researches considering only normal distribution of life time, PLTFs (Probabilistic Life Time Function) which can be capable of handling log and normal distributions are attempted for initial and repair service life, and repair cost is evaluated for OPC and GGBFS concrete. PLTF with log distributions in initial service life is more effective to save repair cost since it is more dominant after average than normal distribution. Repair cost in GGBFS concrete decreases to 30% of OPC concrete due to longer initial service life and lower repairing event. The proposed PLTF from the work can handle not only normal distributions but also log distributions for initial and repair service life, so that it can provide more reasonable repair cost evaluation.

• Journal of Korean Society of Coastal and Ocean Engineers
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• v.32 no.3
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• pp.147-160
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• 2020

A stochastic probabilistic model for harbor structures such as rubble-mound breakwater has been formulated by using the generalized Wiener process considering the nonlinearity of damage drift and its nonlinear uncertainty, by which the damage path with real-time can be tracked, the residual useful lifetime at some age can also be analyzed properly. The formulated stochastic model can easily calculate the probability of failure with the passage of time through the probability density function of cumulative damage. In particular, the probability density functions of residual useful lifetime of the existing harbor structures can be derived, which can take into account the current age, its present damage state and the future damage process to be occurred. By using the maximum likelihood method and the least square method together, the involved parameters in the stochastic model can be estimated. In the calibration of the stochastic model presented in this paper, the present results are very well similar with the results of MCS about tracking of the damage paths as well as evaluating of the density functions of the cumulative damage and the residual useful lifetime. MTTF and MRL are also evaluated exactly. Meanwhile, the stochastic probabilistic model has been applied to the rubble-mound breakwater. The related parameters can be estimated by using the experimental data of the cumulative damages of armor units measured as a function of time. The theoretical results about the probability density function of cumulative damage and the probability of failure are very well agreed with MCS results such that the density functions of the cumulative damage tend to move to rightward and the amounts of its uncertainty are increased as the elapsed time goes on. Thus, the probabilities of failure with the elapsed time are also increased sharply. Finally, the behaviors of residual useful lifetime have been investigated with the elapsed age. It is concluded for rubble-mound breakwaters that the probability density functions of residual useful lifetime tends to have a longer tail in the right side rather than the left side because of the gradual increases of cumulative damage of armor units. Therefore, its MRLs are sharply decreased after some age. In this paper, the special attentions are paid to the relationship of MTTF and MRL and the elapsed age of the existing structure. In spite of that the sum of the elapsed age and MRL must be equal to MTTF deterministically, the large difference has been shown as the elapsed age is increased which is due to the uncertainty of cumulative damage to be occurred in the future.

• Journal of the Korea institute for structural maintenance and inspection
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• v.14 no.4
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• pp.86-93
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• 2010

The wear of railway track affects loss of rough ride, noise or vibration of train and traveling safety. Moreover as the track is worn away, this promotes destruction of structural mechanism of rail track which can bring about increasing of rail track maintenance cost drastically. For this reason, it is very important and interested research subject to design railway track structure and to analyse train movement mechanism based on systematic analysis of the reasons causing rail wear possible in real field. In this research, for the efficient maintenance, Life Cycle Performance of rail track and maintenance characteristics are computed considering some track components such as track type, contracting type, sleeper type and roadbed type. Time - Wear probabilistic distribution relationship as well as multiple regression analysis based on time, curvature and wear data are computed to predict the service life remainder of railway track and to be adapted to safety assessment.

• Proceedings of the Korea Water Resources Association Conference
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• 2022.05a
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• pp.221-221
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• 2022

방재성능목표란 홍수, 호우 등으로부터 재해를 예방하기 위한 방재정책 등에 적용하기 위하여 처리 가능한 시간당 강우량 및 연속강우량의 목표로, 각 지자체별로 지역특성 및 경제여건 등을 고려하여 지역별 방재성능목표를 설정한다. 지역별 방재성능목표 기준을 설정하기 위해 전국을 168개 티센망으로 분류하고 69개 지점 확률강우량을 활용하여 지방자치단체별 확률강우량을 산정하고, 지방자치단체별 티센면적 비율을 감안하여 각 지자체별 방재성능목표 설정 기준을 마련한다. 이때 확률강우량 산정에 기상청에서 제공하는 종관기상관측(ASOS) 자료를 이용하는데, 종관기상관측(ASOS, Automated Synoptic Observing System)이란 종관규모의 날씨를 파악하기 위하여 정해진 시각에 모든 관측소에서 같은 시각에 실시하는 지상관측으로, 종관규모는 일기도에 표현되어 있는 고기압이나 저기압의 공간적 크기 및 수명을 말하며, 해당 지역의 현재 기상 실시간 제공 및 기상예보에 활용한다. 그러나 ASOS 자료로 산정한 확률강우량을 토대로 설정한 지역별 방재성능목표는 지배관측소개소 및 면적 비율에 따라 강우량이 실제 해당 지역에 내린 강우량에 비해 작거나 크게 산정되어 실제 강우량을 반영하지 못하는 문제가 발생한다. 이에 지진·태풍·홍수·가뭄 등 기상현상에 따른 자연재해를 막기 위해 실시하는 지상관측인 방재성능관측(AWS, Automatic Weather System)을 1997년부터 약 510여개 지점에 설치하여 기상관측자료를 구축하고 있으나, 관측자료가 30년 미만이므로 자료의 일관성 및 신뢰도 확보 등의 문제로 이용하고 있지 않다. 실제로 ASOS 관측소와 AWS 관측소의 시간 강우량 최댓값 차이가 큼에도 불구하고 행안부는 지역별 방재성능목표 수립을 위한 강우량 산정에서 AWS 관측소의 기록은 반영하지 않고 ASOS 관측소 기록만 적용하여 실제 해당 지역의 강우량을 반영하는 방재 대책을 수립하지 못하는 실정이다. 따라서 소규모 유역 및 재해영향평가 등의 경우 인근 지역에 AWS 관측소가 있을 경우, 해당지역의 기상 특성을 대변하는 자료로 보유관측년수가 30년 이상인 AWS 자료의 적극적인 활용이 필요할 것으로 판단된다.

• Journal of Korean Society of Coastal and Ocean Engineers
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• v.31 no.3
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• pp.158-169
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• 2019

A probabilistic model that can predict the residual useful lifetime of structure is formulated by using the gamma process which is one of the stochastic processes. The formulated stochastic model can take into account both the sampling uncertainty associated with damages measured up to now and the temporal uncertainty of cumulative damage over time. A method estimating several parameters of stochastic model is additionally proposed by introducing of the least square method and the method of moments, so that the age of a structure, the operational environment, and the evolution of damage with time can be considered. Some features related to the residual useful lifetime are firstly investigated into through the sensitivity analysis on parameters under a simple setting of single damage data measured at the current age. The stochastic model are then applied to the rubble-mound breakwater straightforwardly. The parameters of gamma process can be estimated for several experimental data on the damage processes of armor rocks of rubble-mound breakwater. The expected damage levels over time, which are numerically simulated with the estimated parameters, are in very good agreement with those from the flume testing. It has been found from various numerical calculations that the probabilities exceeding the failure limit are converged to the constraint that the model must be satisfied after lasting for a long time from now. Meanwhile, the expected residual useful lifetimes evaluated from the failure probabilities are seen to be different with respect to the behavior of damage history. As the coefficient of variation of cumulative damage is becoming large, in particular, it has been shown that the expected residual useful lifetimes have significant discrepancies from those of the deterministic regression model. This is mainly due to the effect of sampling and temporal uncertainties associated with damage, by which the first time to failure tends to be widely distributed. Therefore, the stochastic model presented in this paper for predicting the residual useful lifetime of structure can properly implement the probabilistic assessment on current damage state of structure as well as take account of the temporal uncertainty of future cumulative damage.

• Journal of Korea Water Resources Association
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• v.36 no.1
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• pp.45-59
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• 2003

The method in this study, which is more efficiency than the existing method, propose the optimal rehabilitation model based on the deterioration prediction of the laying pipe by using the deterioration survey method of the water distribution system. The deterioration prediction model divides the deterioration degree of each pipe into 5 degree by using the probabilistic neural network. Also, the optimal residual durability is estimated by the calculated deterioration degree in each pipe and pipe diameter. The optimal rehabilitation model by integer programming base on the shortest path can calculate a time and cost of maintenance, rehabilitation, and replacement. Also, the model is divided into budget constraint and no budget constraint. Consequently, the model proposed by the study can be utilized as the quantitative method for the management of the water distribution system.