A storage‐routing model relating drainage basin hydrology and geomorphology

Abstract

A study of four nested drainage basins has been used to measure relations between lag time, stream order, and network magnitude for basins within a larger watershed. Solution of the stream order laws produced a relation between lag time and drainage area which had the same form as the relations developed between different watersheds. A relation between lag time and drainage area was used to allocate storage parameters to the elements of a storage-routing model based on the stream channel rletwork. When it was applied to the most probable stream networks for a given channel magnitude, the model was shown to reproduce relations between lag time and stream order, channel magnitude, and drainage area, having the same form as was observed for the actual drainage basins used in the study.

Transport at basin scales: 2. Applications

“…The residence time distribution which characterizes the hillslopes response has been assumed as an exponential distribution, with a mean residence time T i dependent on the hillslope area A i , i=1→23 (Table 2, see e.g. Boyd, 1978), a relation devised for other types of terrains that nonetheless proves remarkably accurate in characterizing the contrasting effects of flat but deeply drained unchanneled areas . Moreover, whether or not one needs to modify travel times depending on the intensity of the hydrologic events (e.g.…”

A review of the synthetic unit hydrograph: from the empirical UH to advanced geomorphological methods

“…In this regard, several attempts were made in the past to establish relationships between the parameters of the models for ungauged catchments, and the physically measurable watershed characteristics; e.g. Bernard (1935), Snyder (1938, Taylor and Schwarz (1952), Gray (1961), Boyd (1979), and Boyd et al (1979). However, the pioneering works of Rodríguez-Iturbe and , Valdés et al (1979), and Gupta et al (1980), which explicitly integrate the geomorphology details and the climatological characteristics of a basin, in the framework of travel time distribution, are the boon for streamflow synthesis in ungauged basins or cases with partial information on storm event data .…”

Decision of Storage Coefficient and Concentration Time of Observed Basin Using Nash Model's Structure

“…두 매개변수가 서로 관련되어 있다는 점이다 (윤석영과 홍일표, 1995;유철상, 2009;Pilgrim and Johnston, 1976;Boyd, 1978;Sabol, 1988 (안상진 등, 2001; 김형수, 2004; 한국수자원공사, 2008) 이러한 근본적인 문제점에도 불구하고, 여전히 유역의 저류상수 및 집중시간을 결정하는 것은 매우 중요한 일 이며, 따라서 가능한 한 합리적인 수준의 추정치를 얻으 려는 노력이 경주되어 왔다. 상대적으로 많은 연구가 집 중시간과 관련이 있으며 (윤석영과 홍일표, 1995;성기 원, 2003;Pilgrim and Johnston, 1976;Singh, 1976;Agiralioglu, 1988;Wong, 1995), 이는 집중시간이 지표면 또는 하도 내에서의 유속과 관련이 있고 따라서 물리적으 로 해석이 가능하기 때문이다.…”

“…이에 반해 저류상수는 상 대적으로 개념적이어서 물리적으로 규명하기 어렵고 따 라서 관련 연구도 빈약한 편이다. 저류상수와 관련된 연 구로는 윤태훈과 박진원(2002), 윤태훈 등(2005), 안태진 과 최광훈(2007), Clark(1945), Boyd(1978), Russel et al (1979), Linsley et al (1982), Sabol (1988) (Sabol, 1988). 이와 같은 정의를 적용하여 유도한 집중시간 및 저류상수 는 다음과 같다.…”