• Journal of the Korea Academia-Industrial cooperation Society
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• v.8 no.6
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• pp.1560-1565
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• 2007

In this study, Chiu's velocity distribution equation recently developed from the probability and entropy concepts is used to establish a linkage between the mean velocity obtained from the Manning's equation and the corresponding velocity distribution in a channel cross section. The linkage to be established enables computing the velocity distribution along with the mean velocity, from simple hydraulic data such as Manning's n, hydraulic radius and channel slope irrespective of including sediment or not.

• Proceedings of the Korean Environmental Sciences Society Conference
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• 2016.10a
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• pp.197-197
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• 2016

• Proceedings of the Korea Water Resources Association Conference
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• 2022.05a
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• pp.259-259
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• 2022

하천에서 측정된 표면유속을 이용하여 유량을 산정하는 방법은 전통적으로는 여러 개의 측선에서 표면유속을 측정하고 해당 단면적을 적용하여 전체의 유량을 산정한다. 이러한 방법은 조사자가 직접 표면유속계를 이용하여 이동하면서 측정해야 하며, 측정에 상당한 시간이 소요된다. 또한 사람이 직접 교량 위, 케이블 등을 통해 측정해야 하므로 위험에 노출될 수 있다. 따라서 실시간 표면유속을 측정하여 무인으로 유량을 산정할 수 있는 방안이 필요하다. 본 연구에서는 최대유속이 발생하는 하나의 지점에서 측정된 표면유속을 이용하여 전체의 유량을 산정할 수 있도록 지표유속법(index velocity method)과 유속분포법(velocity distribution method)을 적용하여 비교하고자 한다. 지표유속법은 최대유속과 평균유속과의 관계식을 작성하여 유량을 산정하는 방식이며, 유속분포법은 Chiu(1987, 1988)의 엔트로피 개념의 유속분포법(개수로 단면에서의 2차원적 유속분포)을 적용하고자 한다. 연구를 위해 사용되는 자료는 8개 지점에서 전자파표면유속계로 측정된 유속 및 유량자료를 이용하였다. 본 연구결과를 활용하여 표면유속을 이용한 자동유량측정시스템을 도입한다면 자동유량측정시설의 설치 및 운영에 있어 기존 수중에 센서를 설치하여 운영하는 것보다 효율적일 것으로 판단된다. 또한 단면형상 및 흐름이 복잡하지 않는 하천에서 활용도가 높을 것으로 판단된다.

• Journal of Korea Water Resources Association
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• v.52 no.1
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• pp.83-96
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• 2019

In order to properly manage the river water use, it is necessary to collect reliable data of river water use. However, It is not easy to get credible river water use data in Korea because there are some difficultites in reporting and measuring river water use data. Thus, Han River Flood Control Office has installed and operated measuring facility using V-ADCP on the EOUBO intake open channel in the Gosan-Bongdong station section of the Mankyung river, where the use of agricultural water is large. In this study, the applicability of the V-ADCP velocity profile method was evaluated for real-time river water use. For this reason, the parameter sensitivity of Chiu's 2D velocity distribution equation was analyzed and the optimal parameters based on actual discharge data were calculated. In addition, the characteristics of the velocity profile method were analyzed by comparative evaluation of the rating curve method and the index velocity method.

• Journal of the Korea Academia-Industrial cooperation Society
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• v.9 no.1
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• pp.154-159
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• 2008

This study proposes how to decide mean velocity which is one of the very important and efficient discharge measurement in water resources area. In order to achieve this goal, Chiu's velocity distribution equation recently developed from the probability and entropy concepts is used to establish, analyze and compare a linkage between the mean velocity obtained from the Manning's equation which is well known in the world. Besides, it becomes clear that a channel cross section also has a propensity to establish and maintain an equilibrium state that can be measured and classified by a function of entropy M, ratio of mean and maximum velocities irrespective of including sediment or varied channel slope. Therefore, The linkage to be established in this study can be used to compute the cross sectional velocity distribution with the maximum velocity.

• Proceedings of the Korea Water Resources Association Conference
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• 2009.05a
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• pp.1781-1786
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• 2009

최근 들어 하천의 자동유량측정에 많이 활용되고 있는 고정식 음파도플러유속계는 여러 개의 셀 유속 자료를 제공한다. 이러한 유속 자료들은 단면의 특정 위치에 고정되어 있어 수심 변화에 따라 변화하는 최대유속 구역을 직접 측정할 수 없으므로 최대유속과 평균유속 사이의 단순한 관계를 활용하여 유량 산정을 하기는 곤란하다. 다만, 단면상의 여러 지점에 대한 유속 측정치를 얻을 수 있다는 점을 이용하여 모의된 유속분포와 결부하면 유량을 산정하는데 활용 가능하다. 본 연구에서는 Chiu(1988)가 제안한 단면의 무차원적 유속분포를 모의하는 확률론적 유속분포 공식과 고정식 ADVM의 유속자료를 활용하여 유량을 산정하는 방법을 검토하였다. 유속분포 공식의 주요 매개변수 중에서 최대유속과 평균유속의 관계를 나타내는 �� 은 ADVM이 설치된 단면 및 인접 단면에서 ADCP로 측정한 자료를 이용하여 도출하였으며, $\beta$와 h는 국내 하천에 대한 자료 분석을 통해 얻어진 값을 사용하였다. 2006년부터 2007년까지의 유량이 비교적 안정된 11개 케이스의 댐 방류량 조건 및 동일한 지점에서 개발된 유속지수법 유량과 상호 비교하였으며, 그 결과 댐방류량 대비 상대오차가 평균 6.44%로 유속지수법의 7.43%에 비해 약간 크지만 유량 산정이 비교적 정확하게 이루어짐을 확인할 수 있었다. 또한 연속 유량 측정 결과 여수로 방류량에 대해서 약 10.6%의 오차를 나타내고 있었다. 한편, 보다 고유속 구역을 측정할 목적으로 2008년에 기존의 ADVM에 추가로 1.25m 높은 위치에 홍수 측정을 위한 저주파 ADVM을 설치하여 운영할 경우 2008년의 4개 케이스에 대해 댐방류량 대비 2.1%의 상대오차를 나타내어 3.9%의 유속지수법에 비해 약간의 개선효과가 있었으며, 이 역시 유량을 비교적 잘 산정하는 것으로 나타났다.

• Journal of Korea Water Resources Association
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• v.42 no.7
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• pp.513-523
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• 2009

The measuring point of the Hangang Bridge affected by tide has some special topographic characteristics due to Nodle Island. Furthermore the submerged weirs located on the upstream and downstream. Therefore flow is separated and joined by Nodle Island. Discharge measurement at the point of the Hangang Bridge is very important, because Hangang Bridge is key station in managing the discharge and flood forecasting. In the past, it was too difficult to measure discharge in tidal conditions. HRFCO(Han River Flood Control Office) installed automatic discharge measurement facilities for solving this problem. Measuring equipments operates and measures discharge every 10 minutes at 2 points(southern and northern section close to Nodle Island), and calculates flow discharge using Chiu's velocity law(Chiu, 1988). In order to verify the results of automatic discharge measurements, manual discharge measurements were carried out by ADCP. In addition, the monthly discharge were also compared.

• Journal of Environmental Science International
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• v.28 no.6
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• pp.535-544
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• 2019

We computed parameters that affect velocity distribution by applying Chiu's two-dimensional velocity distribution equation based on the theory of entropy probability and acoustic doppler current profiler (ADCP) of Jungmun-stream, Akgeun-stream, and Yeonoe-stream among the nine streams in Jeju Province between July 2011 and June 2015. In addition, velocity and flow were calculated using a surface image velocimeter to evaluate the parameters estimated in the velocity observation section of the streams. The mean error rate of flow based on ADCP velocity data was 16.01% with flow calculated using the conventional depth-averaged velocity conversion factor (0.85), 6.02% with flow calculated using the surface velocity and mean velocity regression factor, and 4.58% with flow calculated using Chiu's two-dimensional velocity distribution equation. If surface velocity by a non-contact velocimeter is calculated as mean velocity, the error rate increases for large streams in the inland areas of Korea. Therefore, flow can be calculated precisely by utilizing the velocity distribution equation that accounts for stream flow characteristics and velocity distribution, instead of the conventional depth-averaged conversion factor (0.85).

• Journal of the Korea Academia-Industrial cooperation Society
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• v.21 no.12
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• pp.87-96
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• 2020

To use a hydraulic structure effectively, the velocity of a river should be known in detail. In reality, velocity measurements are not conducted sufficiently because of their high cost. The formulae to yield the flux and velocity of the river are commonly called the Manning and Chezy formulae, which are empirical equations applied to uniform flow. This study is based on Chiu (1987)'s paper using entropy theory to solve the limits of the existing velocity formula and distribution and suggests the velocity and distance formula derived from information entropy. The data of a channel having records of a spot's velocity was used to verify the derived formula's utility and showed R2 values of distance and velocity of 0.9993 and 0.8051~0.9483, respectively. The travel distance and velocity of a moving spot following the streamflow were calculated using some flow information, which solves the difficulty in frequent flood measurements when it is needed. This can be used to make a longitudinal section of a river composed of a horizontal distance and elevation. Moreover, GIS makes it possible to obtain accurate information, such as the characteristics of a river. The connection with flow information and GIS model can be used as alarming and expecting flood systems.

• Journal of Environmental Science International
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• v.26 no.9
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• pp.999-1011
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• 2017

In this study, the Chiu-2D velocity-flow rate distribution based on theoretical background of the entropy probability method was applied to actual ADCP measurement data of Gangjung Stream in Jeju from July 2011 to June 2015 to predict the parameter that take part in velocity distribution of the stream. In addition, surface velocity measured by SIV (Surface Image Velocimeter) was applied to the predicted parameter to calculate discharge. Calculated discharge was compared with observed discharge of ADCP observed during the same time to analyze propriety and applicability of depth of water velocity average conversion factor. To check applicability of the predicted stream parameter, surface velocity and discharge were calculated using SIV and compared with velocity and flow based on ADCP. Discharge calculated by applying velocity factor of SIV to the Chiu-2D velocity-flow rate distribution and discharge based on depth of water velocity average conversion factor of 0.85 were $0.7171m^3/sec$ and $0.5758m^3/sec$, respectively. Their error rates compared to average ADCP discharge of $0.6664m^3/sec$ were respectively 7.63% and 13.64%. Discharge based on the Chiu-2D velocity-flow distribution showed lower error rate compared to discharge based on depth of water velocity average conversion factor of 0.85.