Water for future (물과 미래)

Korea Water Resources Association (한국수자원학회)
권호 표지

Analysis of Longitudinal Dispersion Coefficient : Part II. Development of New Dispersion Coefficient Equation

종확산계수에 관한 연구 : II. 새로운 종확산계수 추정식 개발

  • 서일원 (서울대학교 공과대학 토목공학과) ;
  • 정태성 (서울대학교 대학원 토목공학과)
  • Published : 1995.08.01
Download PDF
⟨ Previous Next ⟩

Abstract

New dispersion coefficient equation which can be used to estimate dispersion coefficient by using only hydraulic data easily obtained in natural streams has been developed. Dimensional analysis was performed to select physically meaningful parameters, One-Step Huber method, which is one of the nonlinear multi-regression method, was applied to derive a regression equation of dispersion coefficient. 59 measured hydraulic data which were collected in 26 streams in the United States and were analyzed in the Part I of this study, were used in developing new dispersion coefficient equation. Among 59 measured data sets, 35 data sets were used in deriving regression equation, and 24 data sets are used for verification. The new dispersion coefficient equation, which has been developed in this study was proven to be superior in explaining dispersion characteristics of natural streams more precisely compared to existing dispersion coefficient equations.

본 연구에서는 자연하천에서 수집하기 용이한 수리량 자료로부터 종확산계수를 추정하는 공식을 개발하였다. 차원해석을 수행하여 물리적 의미를 가진 변수를 선정한 후, 종확산계수를 추정하는 회귀식을 유도하기 위하여 비선형 다중회귀방법의 하나인 One-Step Huber 방법을 적용하였다. I 단계 연구에서 분석한 바 있는 미국 전역의 26개 하천 59지점의 수리 및 농도자료를 사용하여 새로운 종확산계수 추정식을 개발하였다. 59지점의 자료중 35지점은 종확산계수를 추정하는 회귀식을 유도하는 데 사용하고, 나머지 24지점을 사용하여 유도한 회귀식을 검증하였다. 기존의 공식과 비교한 결과, 본 연구에서 개발한 추정식이 자연하천의 확산 특성을 보다 정확하게 설명할 수 있음이 밝혀졌다.

Keywords

References

  1. 한국수자원학회지 v.28 no.3 縱擴散係數에 관한 硏究: Ⅰ. 旣存 縱擴散係數 推定式 比較 徐一源;鄭泰星
  2. J. hydraulics Division v.102 no.HY4 Longitudinal dispersion for flow over rough beds Abd El-Hadi,N.D.;Daver,K.S.
  3. J. Fluid Mechanics v.5 no.4 The dispersion of a marked fluid in turbulent shear flow Elder,J.W.
  4. Report KHR-12, W.M. Keck Laboratory of Hydraulic and Water Resources Longitudinal dispersion in laboratory and natural streams Fischer,H.B.
  5. Environmental Engineering Division v.101 no.EE3 Discussion of Simple method for predicting dispersion in streams Fischer,H.B.;R.S.McQuivey;T.N.Keefer,J.
  6. Mixing in inland and coastal waters Fischer,H.B.;List,E.J.;Koh,R.C.Y.;Imberger,J.;Broks,N.H.
  7. United States Geological Survey Professional Paper 433-K Stream disperism at selected sites Godfrey,R.G.;Frederick,B.J.
  8. Robust statistics Huber,J.P.
  9. Proceedings of the International Symposium on Environmental Hydraulics Predicting longitudinal dispersion coefficient in open-channel flows Iwasa,Y.;Aya,S.
  10. J. Environmental Engineering Division v.103 no.EE1 Predicting dispersion coefficient of stream Liu,H.
  11. J. Environmental Engineering Division v.100 no.EE4 Simple method for predicting dispersion in streams McQuivey,R.S.;Keefer,T.N.
  12. J. proceedings of the Royal Society, London, England, Series A. v.223 Disperison of matter in turbulent flow through a pipe Taylor,G.I.