A Linear Analysis of the Relation between Rainfall and Runoff for Peak Flow based on Geomorphologic IUH

지형학적(地形學的) 순간단위도(瞬間單位圖)에 의한 첨두유량(尖頭流量)의 강우(降雨)-유출(流出) 선형해석(線形解析)

The schemes synthesizing the instantaneous unit hydrograph(IUH) are presented by using the geomorphologic parameters of a basin. To this end, the channels in the network are numbered according to the Strahler scheme, and the mathematical formulation corresponding to a dynamic probability theory for deriving the geomorphologic IUH(GUH) is refered to the existing techniques adopted by Rodriguez-Iturbe and Valdes. Also, the mean runoff velocity is applied for expressing a dynamic state of flow. The applicability of the GUH to the real drainage basins is tested by using the data observed in a few basins with areas of the order of 9.2, 20, 33.63, and $109.73km^2$ in Korea. The test is carried out by checking the discrepancies between the observed and simulated values for the peak discharge and its time of occurrence which are the most important parameters of an IUH by varing the mean runoff velocity and the inputs. As a result, good agreement is found between them, and it is shown that the variability in peak discharge of hydrograph depends on the mean runoff velocity more than the constant loss rate.

단위도합성(單位圖合成)을 위하여 기존(旣存) 지형학적(地形學的) 순간단위도(瞬間單位圖)의 개념(槪念)을 도입(導入)하였다. 이를 위한 하천차수(河川次數)의 기법(技法)은 Strahler의 차수법칙(次數法則)을 이용(利用)하였으며, 하천수(河川水)의 동적상태(動的狀態)를 나타내기 위하여 평균유출속도(平均流出速度)가 사용(使用)되었다. 지형학적(地形學的) 특성인자(特性因子)들로부터 결정(決定)된 순간단위도(瞬間單位圖)를 IHP 대표시험유역(代表試驗流域)인 경안천(慶安川), 무심천(無心川), 위천유역(渭川流域)에 적용(適用)하여 첨두유량(尖頭流量) 및 도달시간(到達時間)을 계산(計算)하였고, 실측자료(實測資料)와의 비교검토(比較檢討)를 통하여 GUH의 적용성(適用性)을 입증(立證)하였으며, 증감(增減)된 평균류출속도(平均流出速度)와 가정(假定)된 손실율(損失率)을 적용(適用)시키므로써 수문곡선(水文曲線)의 첨두유량(尖頭流量)의 변화(變化)는 일정손실율(一定損失率) 보다 평균유출속도(平均流出速度)에 따라 크게 좌우(左右)됨을 알 수 있었다.