• 대한공간정보학회지
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• 제14권2호
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• pp.15-22
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• 2006

지형학적순간단위유량도 및 지형기후학적단위유량도를 이용하여 미계측 소유역의 특성을 분석하였다. 경북 감포지역 $5km^2$ 미만의 소유역을 중심으로 GIS 기법으로 수문특성인자를 도출하고, 지형학적순간단위유량도의 동역학적 매개변수인 특성속도를 호우사상별로 추정하여 지형기후학적 순간단위유량도 및 기타 집중시간 경험식과 비교한 결과 Kerby 및 Brasby-Williams공식이 소유역의 특성속도 산정공식으로 제시될 수 있는 것으로 분석되었다. 또한 확률 강우량으로부터 지형기후학적순간단위유량도의 첨두유량과 확률홍수량을 비교하는 방법과 여러 단위유량도 및 지형기후학적순간단위유량도에서 산정된 첨두유량을 실측자료와 비교한 결과 미계측 소유역의 적용 타당성이 확인되어 향후 돌발홍수 등 방재계획 수립 시 기준우량을 산정하는데 활용될 수 있을 것으로 판단된다.

• 한국농공학회지
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• 제7권1호
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• pp.861-876
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• 1965

During my stay in the Netherlands, I have studied the following, primarily in relation to the Mokpo Yong-san project which had been studied by the NEDECO for a feasibility report. 1. Unit hydrograph at Naju There are many ways to make unit hydrograph, but I want explain here to make unit hydrograph from the- actual run of curve at Naju. A discharge curve made from one rain storm depends on rainfall intensity per houre After finriing hydrograph every two hours, we will get two-hour unit hydrograph to devide each ordinate of the two-hour hydrograph by the rainfall intensity. I have used one storm from June 24 to June 26, 1963, recording a rainfall intensity of average 9. 4 mm per hour for 12 hours. If several rain gage stations had already been established in the catchment area. above Naju prior to this storm, I could have gathered accurate data on rainfall intensity throughout the catchment area. As it was, I used I the automatic rain gage record of the Mokpo I moteorological station to determine the rainfall lntensity. In order. to develop the unit ~Ydrograph at Naju, I subtracted the basic flow from the total runoff flow. I also tried to keed the difference between the calculated discharge amount and the measured discharge less than 1O~ The discharge period. of an unit graph depends on the length of the catchment area. 2. Determination of sluice dimension Acoording to principles of design presently used in our country, a one-day storm with a frequency of 20 years must be discharged in 8 hours. These design criteria are not adequate, and several dams have washed out in the past years. The design of the spillway and sluice dimensions must be based on the maximun peak discharge flowing into the reservoir to avoid crop and structure damages. The total flow into the reservoir is the summation of flow described by the Mokpo hydrograph, the basic flow from all the catchment areas and the rainfall on the reservoir area. To calculate the amount of water discharged through the sluiceCper half hour), the average head during that interval must be known. This can be calculated from the known water level outside the sluiceCdetermined by the tide) and from an estimated water level inside the reservoir at the end of each time interval. The total amount of water discharged through the sluice can be calculated from this average head, the time interval and the cross-sectional area of' the sluice. From the inflow into the .reservoir and the outflow through the sluice gates I calculated the change in the volume of water stored in the reservoir at half-hour intervals. From the stored volume of water and the known storage capacity of the reservoir, I was able to calculate the water level in the reservoir. The Calculated water level in the reservoir must be the same as the estimated water level. Mean stand tide will be adequate to use for determining the sluice dimension because spring tide is worse case and neap tide is best condition for the I result of the calculatio 3. Tidal computation for determination of the closure curve. During the construction of a dam, whether by building up of a succession of horizontael layers or by building in from both sides, the velocity of the water flowinii through the closing gapwill increase, because of the gradual decrease in the cross sectional area of the gap. 1 calculated the . velocities in the closing gap during flood and ebb for the first mentioned method of construction until the cross-sectional area has been reduced to about 25% of the original area, the change in tidal movement within the reservoir being negligible. Up to that point, the increase of the velocity is more or less hyperbolic. During the closing of the last 25 % of the gap, less water can flow out of the reservoir. This causes a rise of the mean water level of the reservoir. The difference in hydraulic head is then no longer negligible and must be taken into account. When, during the course of construction. the submerged weir become a free weir the critical flow occurs. The critical flow is that point, during either ebb or flood, at which the velocity reaches a maximum. When the dam is raised further. the velocity decreases because of the decrease\ulcorner in the height of the water above the weir. The calculation of the currents and velocities for a stage in the closure of the final gap is done in the following manner; Using an average tide with a neglible daily quantity, I estimated the water level on the pustream side of. the dam (inner water level). I determined the current through the gap for each hour by multiplying the storage area by the increment of the rise in water level. The velocity at a given moment can be determined from the calcalated current in m3/sec, and the cross-sectional area at that moment. At the same time from the difference between inner water level and tidal level (outer water level) the velocity can be calculated with the formula $h= \frac{V^2}{2g}$ and must be equal to the velocity detertnined from the current. If there is a difference in velocity, a new estimate of the inner water level must be made and entire procedure should be repeated. When the higher water level is equal to or more than 2/3 times the difference between the lower water level and the crest of the dam, we speak of a "free weir." The flow over the weir is then dependent upon the higher water level and not on the difference between high and low water levels. When the weir is "submerged", that is, the higher water level is less than 2/3 times the difference between the lower water and the crest of the dam, the difference between the high and low levels being decisive. The free weir normally occurs first during ebb, and is due to. the fact that mean level in the estuary is higher than the mean level of . the tide in building dams with barges the maximum velocity in the closing gap may not be more than 3m/sec. As the maximum velocities are higher than this limit we must use other construction methods in closing the gap. This can be done by dump-cars from each side or by using a cable way.e or by using a cable way.

• 한국수자원학회논문집
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• 제33권3호
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• pp.315-330
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• 2000

지형형태학적 순간단위도(GIUH)는 미계측유역이나 관측자료가 충분하지 않은 유역의 적용을 목적으로 한다. 이를 위해서는 GIUH의 동역학적 매개변수인 특성속도의 정도 있는 추정이 가장 중요한 요소이나 아직까지 그에 대한 정확한 산정방법은 개발되어 있지 못한 실정이다. 실측된 강우 유출자료가 존재할 경우, 특성속도의 추정은 상대적으로 용이하나. GIUH의 목적에 맞지 않는다. 이 미계측 유역에 대한 유출 해석임을 상기한다면 특성속도 역시 지형형태학적인 해석을 바탕으로 산정되어야 하고, 그와 더불어 실제 적용에 합리적이며 간편한 식의 구조로 표현되어야 한다. 이에 본 연구에서는 GIUH 이론을 위천의 고노, 통곡, 효령 유역에 적용하고, 실측 자료를 근거로 한 최적화 과정을 통하여 특성속도를 산정하였다. 그렇게 구한 특성속도는 GcIUH 및 기타 집중시간에 관한 경험공식과의 비교를 통해 가장 적절한 방법을 선정할 수 있도록 하였다. 비교 결과 Kerby, 김남원, Kinematic Wave, Brasby-Williams 공식 등이 비교적 실측치와 근사한 값을 주는 것으로 조사되었으나, Kerby, Kinematic Wave 공식 등의 경우 조도계수 n값이 다소 주관적으로 추정될 수 있으며, 또한 특성속도가 이들 계수에 따라 크게 변화하는 단점이 있는 것으로 나타났다. 따라서, 비교적 정확하고도 객관적인 값을 주는 김남원 및 Brasby-Williams공식을 유역의 특성속도 산정공식으로 제시할 수 있을 것으로 보인다.

• 한국농공학회지
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• 제19권1호
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• pp.4296-4311
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• 1977

This study was conducted to derive an Instantaneous Unit Hydrograph for the accurate and reliable unitgraph which can be used to the estimation and control of flood for the development of agricultural water resources and rational design of hydraulic structures. Eight small watersheds were selected as studying basins from Han, Geum, Nakdong, Yeongsan and Inchon River systems which may be considered as a main river systems in Korea. The area of small watersheds are within the range of 85 to 470$\textrm{km}^2$. It is to derive an accurate Instantaneous Unit Hydrograph under the condition of having a short duration of heavy rain and uniform rainfall intensity with the basic and reliable data of rainfall records, pluviographs, records of river stages and of the main river systems mentioned above. Investigation was carried out for the relations between measurable unitgraph and watershed characteristics such as watershed area, A, river length L, and centroid distance of the watershed area, Lca. Especially, this study laid emphasis on the derivation and application of Instantaneous Unit Hydrograph (IUH) by applying Nash's conceptual model and by using an electronic computer. I U H by Nash's conceptual model and I U H by flood routing which can be applied to the ungaged small watersheds were derived and compared with each other to the observed unitgraph. 1 U H for each small watersheds can be solved by using an electronic computer. The results summarized for these studies are as follows; 1. Distribution of uniform rainfall intensity appears in the analysis for the temporal rainfall pattern of selected heavy rainfall event. 2. Mean value of recession constants, Kl, is 0.931 in all watersheds observed. 3. Time to peak discharge, Tp, occurs at the position of 0.02 Tb, base length of hlrdrograph with an indication of lower value than that in larger watersheds. 4. Peak discharge, Qp, in relation to the watershed area, A, and effective rainfall, R, is found to be {{{{ { Q}_{ p} = { 0.895} over { { A}^{0.145 } } }}}} AR having high significance of correlation coefficient, 0.927, between peak discharge, Qp, and effective rainfall, R. Design chart for the peak discharge (refer to Fig. 15) with watershed area and effective rainfall was established by the author. 5. The mean slopes of main streams within the range of 1.46 meters per kilometer to 13.6 meter per kilometer. These indicate higher slopes in the small watersheds than those in larger watersheds. Lengths of main streams are within the range of 9.4 kilometer to 41.75 kilometer, which can be regarded as a short distance. It is remarkable thing that the time of flood concentration was more rapid in the small watersheds than that in the other larger watersheds. 6. Length of main stream, L, in relation to the watershed area, A, is found to be L=2.044A0.48 having a high significance of correlation coefficient, 0.968. 7. Watershed lag, Lg, in hrs in relation to the watershed area, A, and length of main stream, L, was derived as Lg=3.228 A0.904 L-1.293 with a high significance. On the other hand, It was found that watershed lag, Lg, could also be expressed as {{{{Lg=0.247 { ( { LLca} over { SQRT { S} } )}^{ 0.604} }}}} in connection with the product of main stream length and the centroid length of the basin of the watershed area, LLca which could be expressed as a measure of the shape and the size of the watershed with the slopes except watershed area, A. But the latter showed a lower correlation than that of the former in the significance test. Therefore, it can be concluded that watershed lag, Lg, is more closely related with the such watersheds characteristics as watershed area and length of main stream in the small watersheds. Empirical formula for the peak discharge per unit area, qp, ㎥/sec/$\textrm{km}^2$, was derived as qp=10-0.389-0.0424Lg with a high significance, r=0.91. This indicates that the peak discharge per unit area of the unitgraph is in inverse proportion to the watershed lag time. 8. The base length of the unitgraph, Tb, in connection with the watershed lag, Lg, was extra.essed as {{{{ { T}_{ b} =1.14+0.564( { Lg} over {24 } )}}}} which has defined with a high significance. 9. For the derivation of IUH by applying linear conceptual model, the storage constant, K, with the length of main stream, L, and slopes, S, was adopted as {{{{K=0.1197( {L } over { SQRT {S } } )}}}} with a highly significant correlation coefficient, 0.90. Gamma function argument, N, derived with such watershed characteristics as watershed area, A, river length, L, centroid distance of the basin of the watershed area, Lca, and slopes, S, was found to be N=49.2 A1.481L-2.202 Lca-1.297 S-0.112 with a high significance having the F value, 4.83, through analysis of variance. 10. According to the linear conceptual model, Formular established in relation to the time distribution, Peak discharge and time to peak discharge for instantaneous Unit Hydrograph when unit effective rainfall of unitgraph and dimension of watershed area are applied as 10mm, and $\textrm{km}^2$ respectively are as follows; Time distribution of IUH {{{{u(0, t)= { 2.78A} over {K GAMMA (N) } { e}^{-t/k } { (t.K)}^{N-1 } }}}} (㎥/sec) Peak discharge of IUH {{{{ {u(0, t) }_{max } = { 2.78A} over {K GAMMA (N) } { e}^{-(N-1) } { (N-1)}^{N-1 } }}}} (㎥/sec) Time to peak discharge of IUH tp=(N-1)K (hrs) 11. Through mathematical analysis in the recession curve of Hydrograph, It was confirmed that empirical formula of Gamma function argument, N, had connection with recession constant, Kl, peak discharge, QP, and time to peak discharge, tp, as {{{{{ K'} over { { t}_{ p} } = { 1} over {N-1 } - { ln { t} over { { t}_{p } } } over {ln { Q} over { { Q}_{p } } } }}}} where {{{{K'= { 1} over { { lnK}_{1 } } }}}} 12. Linking the two, empirical formulars for storage constant, K, and Gamma function argument, N, into closer relations with each other, derivation of unit hydrograph for the ungaged small watersheds can be established by having formulars for the time distribution and peak discharge of IUH as follows. Time distribution of IUH u(0, t)=23.2 A L-1S1/2 F(N, K, t) (㎥/sec) where {{{{F(N, K, t)= { { e}^{-t/k } { (t/K)}^{N-1 } } over { GAMMA (N) } }}}} Peak discharge of IUH) u(0, t)max=23.2 A L-1S1/2 F(N) (㎥/sec) where {{{{F(N)= { { e}^{-(N-1) } { (N-1)}^{N-1 } } over { GAMMA (N) } }}}} 13. The base length of the Time-Area Diagram for the IUH was given by {{{{C=0.778 { ( { LLca} over { SQRT { S} } )}^{0.423 } }}}} with correlation coefficient, 0.85, which has an indication of the relations to the length of main stream, L, centroid distance of the basin of the watershed area, Lca, and slopes, S. 14. Relative errors in the peak discharge of the IUH by using linear conceptual model and IUH by routing showed to be 2.5 and 16.9 percent respectively to the peak of observed unitgraph. Therefore, it confirmed that the accuracy of IUH using linear conceptual model was approaching more closely to the observed unitgraph than that of the flood routing in the small watersheds.

• 한국농공학회지
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• 제32권3호
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• pp.87-101
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• 1990

The purpose of this study is to estimate the flood discharge and runoff volume at a stream by using geomorphologic parameters obtained from the topographic maps following the law of stream classification and ordering by Horton and Strahier. The present model is modified from Cheng' s model which derives the geomorphologic instantaneous unit hydrograph. The present model uses the results of Laplace transformation and convolution intergral of probability density function of the travel time at each state. The stream flow velocity parameters are determined as a function of the rainfall intensity, and the effective rainfall is calculated by the SCS method. The total direct runoff volume until the time to peak is estimated by assuming a triangular hydrograph. The model is used to estimate the time to peak, the flood discharge, and the direct runoff at Andong, Imha. Geomchon, and Sunsan basin in the Nakdong River system. The results of the model application are as follows : 1.For each basin, as the rainfall intensity doubles form 1 mm/h to 2 mm/h with the same rainfall duration of 1 hour, the hydrographs show that the runoff volume doubles while the duration of the base flow and the time to peak are the same. This aggrees with the theory of the unit hydrograph. 2.Comparisions of the model predicted and observed values show that small relative errors of 0.44-7.4% of the flood discharge, and 1 hour difference in time to peak except the Geomchon basin which shows 10.32% and 2 hours respectively. 3.When the rainfall intensity is small, the error of flood discharge estimated by using this model is relatively large. The reason of this might be because of introducing the flood velocity concept in the stream flow velocity. 4.Total direct runoff volume until the time to peak estimated by using this model has small relative error comparing with the observed data. 5.The sensitivity analysis of velocity parameters to flood discharge shows that the flood discharge is sensitive to the velocity coefficient while it is insensitive to the ratio of arrival time of moving portion to that of storage portion of a stream and to the ratio of arrival time of stream to that of overland flow.

• 한국수자원학회:학술대회논문집
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• 한국수자원학회 1993년도 수공학연구발표회논문집
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• pp.387-392
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• 1993

• 한국수자원학회논문집
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• 제36권3호
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• pp.399-411
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• 2003

Nash의 관측평균순간단위도의 신뢰구간을 결정하는 기법을 개발하였다. 이 방법은 두 매개변수를 Box-Cox 변환과 유역의 상사성관계식을 이용하여 이변수정규분포의 확률변수화하고 이들의 선형 상관관계를 이용한 통계적 추정과정과 더불어 parametric bootstrap 방법을 이용한 단위도의 신뢰구간 산정 등으로 구성된다. 또한 이 방법은 미계측유역에 대한 단위도 추정에도 이용이 가능한 특징을 갖고 있다. 위천유역에 대하여 제안된 방법을 적용한 결과 제시된 방법론은 단위도의 불확실성을 평가하고 그리고 미계측 유역에 대한 매개변수 추정에 있어서 적절한 대안임을 확인할 수 있었다.

• 물과 미래
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• 제15권3호
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• pp.49-55
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• 1982

본 연구는 중소하천유역에 있어서 미국토양보존전국(U.S. Soil conservation Service)의 SCS 방법과 $\Phi$-Index 방법과를 비교하면서 유효우량을 산정하고 또한 설계수문곡선의 첨두유량을 산정하는데 목적을 두고 있다. 낙동강 유역에 속한 신천유역은 UNESCO의 주관아래 국제수문 개발계획 대표시험유역으로 채택되었던 유역으로서 그 중요성이 크다고 생각하여 SCS 방법의 적용을 위하여 균양군의 분류에 따른 토지이용 및 처리 상태와 토양의 분류, 토양의 종류 등을 파악하여 유출수를 구하였다. 그리고 주요호우의 총우량일유효우량관계 자료에 의한 평균유출수와 비교해 본 결과 SCS 방법의 유출수가 적게 나타났으며, 신천유역의 5개 측소의 강우자료로부터 $\Phi$-Index 법에 의한 유효우량과도 비교하였다. 한편 설계수문곡선의 첨두유량은 SCS법, Chow법, Mockus법과 비교해 본 결과, SCS법의 무차원수문곡선과 Chow법이 실측에 의한 단위도의 첨두유량과 가까운 적합성을 보여주었다.

• 상하수도학회지
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• 제30권2호
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• pp.179-185
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• 2016

In this study, the RDII predictions were compared using two methodologies, i.e., the RTK-based and regression methods. Long-term (1/1/2011~12/31/2011) monitoring data, which consists of 10-min interval streamflow and the amount of precipitation, were collected at the domestic study area (1.36 km2 located in H county), and used for the construction of the RDII prediction models. The RTK method employs super position of tri-triangles, and each triangle (called, unit hydrograph) is defined by three parameters (i.e., R, T and K) determined/optimized using Genetic Algorithm (GA). In regression method, the MovingAverage (MA) filtering was used for data processing. Accuracies of RDII predictions from these two approaches were evaluated by comparing the root mean square error (RMSE) values from each model, in which the values were calculated to 320.613 (RTK method) and 420.653 (regression method), respectively. As a results, the RTK method was found to be more suitable for RDII prediction during extreme rainfall event, than the regression method.

• 대한토목학회논문집
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• 제13권2호
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• pp.161-171
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• 1993

유역순간단위도를 수로기하학적 특성과 사면을 고려하여 유도하였다. 수로기하학적 특성은 Width function으로 정량화되며, 이것은 출구로부터 임의 흐름거리의 유량 분포를 나타낸다. 유역순간단위도의 유도에 사용된 모형은 간단한 확산함수에 의해 수로에 분포된 초기유량을 추적하는 추적요소와 사변에서의 체류시간 밀도함수인 지수분포로 나타내지는 사면요소로 구성하였다. 본 방법의 적용성을 검토하기 위하여 보청천유역, 위천유역에 대해 4개사상의 실측수문량을 이용하여 유역순간단위유량도를 산정하였으며, 산정 결과, 본 연구에서 제안한 방법 을 이용해 유역순간단위유량도를 유도할 수 있음을 확인하였다.