미계측 소하천수계의 합성단위도 유도

Derivation of the Synthetic Unit Hydrograph at Ungaged Small Watershed

미측측 소하천 유역에 적용할만한 합성단위도를 찾아내기 위하여 대표유역의 관측자료로부터 각 소하천의 실측단위도를 유도하였다. 소하천 유역의 특성인자와 단위도의 특성치를 분석하여 Snyder, S.C.S, Nash, Clark에서 이용되는 식을 유도하였다. 이들 식을 이용하여 대표유역의 유역특성치로서 각 방법에 의한 합성단위도를 유도하고 이들 합성단위도와 실측단위도를 비교 분석한 결과 다음과 같은 특성을 발견하였다. Snyder 방법에 의한 첨두유량과 근사하였으나 첨두유량의 25,50,75%되는 단위도의 좌표만으로는 단위도의 형을 결정하기엔 미흡함이 남아있다. Clark 방법에 의하여 합성단위도를 정확하게 유도하기 위하여 그 유역의 시간-면적도의 기저장과 등유달시간면적을 정확하게 구할 수 있는 방법이 모색되어야 한다고 생각한다. Nash 방법에 의한 합성단위도의 첨두유량과 기저시간은 저장상수와 Gamma 함수인자만의 함수이기 때문에 정확한 저장상수와 Gamma 함수인자의 결정이 선행되어야만 신빙성있고 정도가 높은 단위도 유도가 가능하리라 판단된다. S.C.S 방법에서 첨두유량은 유역면적에 비례하고 첨두유량 발성시간에 반비례하기 때문에 첨두유량 발생이 빠른 소유역에서는 다소 큰 첨두유량 값을 갖음을 알았다.

The objective of this study was to determine the best representative synthetic unit hydrograph that is applicable to ungaged small watershed. A typical unit hydrograph was established with the actual data from a small watershed. Four currently well-known methods for analyzing ungaged small watershed, including Snyder's, Clark's S.C.S. and Nash methods, were evaluated with the data from the same small watershed. The following observations were noted from the analysis of four methods. The Snyder's method yielded the similar peak discharge value as the typical unit hydrograph. With co-ordinates of three discharge values, i.e. 25%, 50% and 75% of peak discharge, were not adequate for deriving a typical unit hydrograph in ungaged small watershed. With Clark's method there shall be some way of obtaining the exact base length of time area diagram and isochrone of each reach of the stream. With Nash method peak discharge and base flow time are affected by the storage constant and gamma function argument; therefore, for deriving a more reliable and workable unit hydrograph one needs to select for the better estimation of storage constant and gamma function argument. In S.C.S. method peak discharge is directly related to the watershed area and inversely related to the time of peak diacharge. Therefore area with faster peak discharge yielded the higer peak discharge value. Although the peak discharge value obtained frome the S.C.S. method higher than the value obtained from the unit hydrograph developed from the actual data, this method contains a number of advantageous factors. The peak discharge value and the time of peak discharge can be claculated easity from the morphological characteristics of the watershed, and in S.C.S method co-ordinates of the unit hydrograph can be calculated easily from that of the dimensionless unit hydrograph. When the four currently used methods were evaluated with a typical unit hydrograph obtained from the actual data, the S.C.S method was show to be the best method in deriving a synthetic unit hydrograph for ungaged small watershed.