哈克定律(英語:Hack's law)是有關河流長度和其流域面積的經驗關係式。若L為流域中最長河流的長度,A為流域面積,則:

C為常數,針對大部份的流域,指數h略小於0.6。

h會隨區域有輕微的變化,若是在較大的流域(>8,000 平方英里或20,720平方公里),也會略微降低。有推導出h的理論值為 = 4/7 ≈ 0.571[1]

參考資料 编辑

  1. ^ Birnir, B., 2008, "Turbulent rivers", Quart. Appl. Math., 66, 3, pp. 565–594
  • Hack, J., 1957, "Studies of longitudinal stream profiles in Virginia and Maryland", U.S. Geological Survey Professional Paper, 294-B.
  • Rigon, R., et al., 1996, "On Hack's law" Water Resources Research, 32, 11, pp. 3367–3374.
  • Willemin, J.H., 2000, "Hack’s law: Sinuosity, convexity, elongation". Water Resources Research, 36, 11, pp. 3365–3374.