• Journal of Korea Water Resources Association
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• v.42 no.6
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• pp.445-455
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• 2009

In this paper proportional hazards models for the first through seventh break of 150 mm cast iron pipes in a case study area are established. During the modeling process the assumption of the proportional hazards for covariates on the hazards is examined to include the time-dependent covariate terms in the models. As a result, the pipe material/joint type and the number of customers are modeled as time-dependent for the first failure, and for the second failure only the number of customers is modeled as time-dependent. From the analysis on the baseline hazard functions the failure hazards are found to be generally increasing for the first and second failure, while the hazards of the third break and beyond showed a form of a bath-tub. Furthermore, the changes in the baseline hazard rates according to the time and number of break reflect that the general condition of the pipes is deteriorating. The factors causing pipe break and their effects are analyzed based on the estimated regression coefficients and their hazard ratios, and the constructed models are verified using the deviance residuals of the models.

• Journal of Korea Water Resources Association
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• v.42 no.6
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• pp.457-464
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• 2009

This paper proposes methodologies for analyzing the accuracy of the proportional hazards model in predicting consecutive break times of water mains and estimating the time interval for economical water main replacement. By using the survival functions that are based on the proportional hazards models a criterion for the prediction of the consecutive pipe breaks is determined so that the prediction errors are minimized. The criterion to predict pipe break times are determined as the survival probability of 0.70 and only the models for the third through the seventh break are analyzed to be reliable for predicting break times for the case study pipes. Subsequently, the criterion and the estimated lower and upper bound survival functions of consecutive breaks are used in predicting the lower and upper bounds of the 95% confidence interval of future break times of an example water main. Two General Pipe Break Prediction Models(GPBMs) are estimated for an example pipe using the two series of recorded and predicted lower and upper bound break times. The threshold break rate is coupled with the two GPBMs and solved for time to obtain the economical replacement time interval.

• Journal of Korean Society of Environmental Engineers
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• v.33 no.10
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• pp.723-730
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• 2011

In this experiment, persulfate, a strong oxidant for ISCO (In-Situ Chemical Oxidation) was used to degraded RDX in artificial ground water at ambient temperature. Results of RDX degradation by persulfate in a batch reactor showed that the oxidation reaction was pseudo first order with estimated Ea (activation energy) of $1.14{\times}10^2kJ/mol$ and the rate was increased with the increase of reaction temperature. The oxidation of RDX by persulfate increased slightly with the increase of initial solution pH from 4 to 8. The RDX oxidation rate increased 13 times at pH 10 compared with that at pH 4, however, alkaline hydrolysis was found to be the main reaction of RDX degradation rather than oxidation. The study also showed that the oxidation rate of RDX by persulfate was linearly dependent upon the molar ratios of persulfate to RDX from 5 : 1 up to 100 : 1, with a proportion constant of $4{\times}10^{-4}$ ($min^{-1}$/molar ratio) at $70^{\circ}C$. While NOM (Natural Organic Matter) exerted negative effects on the oxidation rate of RDX by persulfate, with a proportion constant of $1.21{\times}10^{-4}$ ($min^{-1}{\cdot}L/mg-NOM$) at $70^{\circ}C$ and persulfate/NOM molar ratio of 10/1. The decrease in RDX oxidation rate was linearly dependent upon the added NOM concentration. However, the estimated activation energy in the presence of 20 mg-NOM/L was within 3.3% error compared to that without NOM, which implies the addition of NOM does not alter intrinsic oxidation reaction.

• Korean Journal of Optics and Photonics
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• v.8 no.3
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• pp.209-212
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• 1997

Spectral gain variation characteristics of the silica-based erbium doped fiber amplifiers is investigated in the 1545-1557 nm wavelength region. For a given length of the erbium doped fiber, the gain($G_0$) with minimum spectral gain variation is uniquely determined. The spectral gain imbalance DG is nearly proportional to the difference between G0 and the operating gain(G) with the proportional constant of 0.1-0.2 dB/dB. For the gain flattened EDFA at the input power of -20 dBm/ch. and the gain of 21 dB, the output power and the optical signal to noise variations after 12 cascaded EDFAs were 5 dB and 3 dB, respectively.

• 한국방재학회:학술대회논문집
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• 2011.02a
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• pp.200-200
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• 2011

실제 유역에서 지류유입량(tributary inflow)의 형태로든 사면류의 형태로든 측방유입은 반드시 존재한다. 측방유입이 하도의 지배적인 흐름이 되는 경우 이는 유출수문곡선의 종거값과 형태를 변화시키는데 중요한 역할을 하게 된다. 따라서 측방유입의 형태를 저류상수 및 집중시간과 같은 수문학적 특성으로 적절하게 표현할 수 있다면, 전체 유역 내에서 측방유입의 지체효과 및 저류효과를 파악하는데 크게 기여하게 된다. 측방유입과 관련된 선행연구들을 살펴보면, Saint-Venant 방정식을 근간으로 하는 연구가 주를 이루고, Muskingum 하도추적모형 또는 Muskingum-Cunge 하도추적 모형을 확장한 연구가 나머지 부분을 차지한다(Hayami, 1951; Dooge et al. 1982). 지금까지 수행된 대다수의 연구들은 수치해석적으로 측방유입의 유출량을 모의하거나 혹인 관측값이 존재하는 경우 역으로 측방유입의 특성을 유추한 것들로 다소 복잡하고, 관측값이 존재하지 않는 경우에는 적용이 어려운 문제점을 가지고 있다. 그러나 유역의 물리적인 특성과 주하도의 특성만을 이용하여 측방유입의 특성을 대략적으로 유추하는 것이 가능하다면, 전체유역과 각 소유역의 관계는 전체유역의 물리적인 특성과 주하도의 수문학적 특성만으로 충분히 파악할 수 있게 된다. 다시 말해 유역분할 시 각 소유역 사이의 관계를 고려하여 전체유역의 유출량을 파악하는 것이 가능해진다. 이에 본 연구에서는 Muskingum 하도추적모형을 재해석한 순간단위도를 이용하여 측방유입의 수문학적 해석을 시도하였다. 대상유역으로는 격자형태의 사각형과 삼각형 유역을 임의로 가정하였으며, 각각의 유역에서의 순간단위도를 선형하천모형과 선형저수지모형의 합으로 유도하였다. 이때 저류상수는 하도길이와 비례한다는 가정을 바탕으로 사각형과 삼각형 유역에서의 저류상수 및 집중시간을 유도하였다. 특히 유역 출구에서 최원점에 위치한 격자에서 유출이 발생시간을 집중시간으로 가정하였으며, 이 시점에서의 종거값과 기울기를 이용하여 저류상수를 유도하였다. 그 결과, 선형하천과 선형저수지모형 각각은 집중시간과 저류상수로 특징지어짐을 알 수 있었으며, 결정된 측방유입의 저류상수 및 집중시간이 적절한 것을 확인하였다. 이러한 결과는 향후 대유역에서 유역분할의 효과뿐만 아니라 홍수량 할당문제를 입증하는데 크게 기여할 것으로 기대된다.

• Journal of the Korean Geotechnical Society
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• v.18 no.6
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• pp.129-139
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• 2002

Dielectric constant measurement has drawn much attention in the investigation of the properties and contaminations of subsurface. In this study, by varying the frequency from 75 kHz to 12 MHz, dielectric constant was measured for the weathered granite soil and Jumunjin sand having different water contents and dry density. The dielectric constant of sand showed the dispersive behavior indicating that dielectric constant decreased with frequency of an electric field. And the dielectric constant of soil increased as water content and/or dry density increased due to the decrease of air portion and/or the increase of amount of water molecules which could contribute to the development of orientation polarization. The dielectric constant of sand showed a linear relationship with the moisture density, considering both water content and dry density. At low frequency, the dielectric constants calculated by Maxwell's, Topp's and CRIM equation deviated from measured values. It could be explained by the fact that those equations did not consider dispersive behavior of dielectric constant with the frequency.

• Journal of Elementary Mathematics Education in Korea
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• v.23 no.3
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• pp.273-288
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• 2019

This study focuses on understanding proportionality, in particular, what constitutes relational understanding of a:b=c:d, which is called proportional expression. The meanings of a:b=c:d are analyzed and some suggestions are offered for improving the teaching and learning of it. The equation a:b=c:d has three different meanings. First, it represents two different structures in one proportional situation. Second, it represents a common structure in two different proportional situations. Finally, it represents a number or a quantity underlying in different proportional situations. It is important to choose and use a unit flexibly to understand the first and the second meanings of a:b=c:d, Double strip diagram and double number line are useful to visualize the meanings of a:b=c:d. In addition, what a number or a quantity in the third meaning of a:b=c:d refers to in proportional situations should be emphasized in teaching and learning of a:b=c:d.

• Journal of the Korean earth science society
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• v.29 no.2
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• pp.117-127
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• 2008

Source parameters for forty four earthquakes which occurred in and around the Korean Peninsula were determined and the relations between them were studied. Snoke's method (Snoke, 1987) was applied in determining the corner frequencies and seismic moments. In general, the source parameters estimated at different stations for an earthquake show different values. These disagreements have been interpreted as originating, in principle, from an inadequate consideration of the source radiation pattern and direction dependent attenuation and amplification. The comer frequencies and seismic moments were averaged to exclude the such directional effects. Other source parameters were estimated from the mean corner frequency and seismic moment. The static stress drops, determined in this study, tend to be independent of seismic moment for events greater than a specific magnitude. For earthquakes with a size less than about $1.0{\times}10^{22}$ dyne-cm (nearly same as $M_L = 4.0$), the stress drop tends to decrease with the decreasing moment. This fact suggests a breakdown of the scaling law of source parameters in earthquakes below the threshold magnitude.

• Journal of Korea Water Resources Association
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• v.42 no.3
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• pp.235-246
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• 2009

This study theoretically reviews the basin storage coefficient and concentration time using the Nash model, a simple unit hydrograph theory. First, the storage coefficient and concentration time of Nash instantaneous unit hydrograph (IUH) are derived based on their definitions, whose characteristics as well as their relationship are also reviewed. Additionally, several empirical equations of storage coefficient and concentration time commonly used in Korea are evaluated by comparing them with those for the Nash IUH. Major results of this study are summarized as follows. (1) The concentration time of Nash IUH is approximately linearly proportional to the number of linear reservoirs, but the storage coefficient non-linearly to the square root. That is, if increasing the number of linear reservoirs by four times, the concentration time becomes also increased by about four times, but the storage coefficient only about two times. This result has a special meaning to understand the effect of basin subdivision on the concentration time and storage coefficient. (2) The storage coefficient and concentration time of Nash IUH are not independent each other, so their independent estimation does not make any physical sense. As the concentration time among the two is more sensitive to the number of linear reservoirs, which should be estimated first, then the storage coefficient considering the concentration time estimated. (3) Empirical equations of concentration time can be divided into two groups, one following the linear channel theory and the other not, whose equation forms are also found to be very similar. This result indicates that the characteristic factors dominating the concentration time are very similar, indicating the possibility of its regionalization over a basin with consistent equation forms. (4) Those for storage coefficient like the Russell formulae are found to consider the physical characteristics of a basin, so their unreasonable applications could sufficiently be excluded.

• Journal of the Korea Institute of Information and Communication Engineering
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• v.4 no.3
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• pp.689-696
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• 2000

In this paper, an improved method is proposed to eliminate the chattering for Sliding Mode Controller. The differential-calculus of a switching function is converged to a particular constant or the proportional term so that the chattering in transient state is eliminated in the conventional method. However, by using the improved method, it is converged to its proportional-integral term so that the chattering is eliminated in transient state and steady state both. The computer simulation for brushless DC motor speed controller is used to compare the improved method with the conventional method and to verify the useful effect of the method in this paper.