DOI QR코드

DOI QR Code

Analysis of Roughness Coefficient in Gravel-bed Rivers

자갈하천의 조도계수 특성 분석

  • 이찬주 (한국건설기술연구원 하천해안항만연구실) ;
  • 김용전 (한국건설기술연구원 하천해안항만연구실) ;
  • 김지성 (한국건설기술연구원 하천해안항만연구실) ;
  • 김원 (한국건설기술연구원 하천해안항만연구실)
  • Received : 2009.03.30
  • Accepted : 2010.02.19
  • Published : 2010.04.30

Abstract

The purpose of this study is to analyse characteristics of roughness coefficient based on bed-material size of the gravel-bed rivers using field data obtained from nine domestic rivers. Roughness coefficient is calculated using Manning's equation. Roughness coefficient decreases with increasing discharge, but above a certain discharge, it tends to be constant. Similarly, roughness coefficient shows reverse relationship with relative smoothness (R/D). The regression equation adopting theoretically derived value of 2.03 as log coefficient indicates close similarity with the previous equation proposed by Limerinos (1970). Roughness coefficient values converged above certain discharges lie in the range from 0.024 to 0.045. From them, empirical equations based only on bed-material size are derived and compared with those suggested by the previous studies.

본 연구는 국내 9개 하천에서 실측한 자료를 사용하여 하상재료의 입경에 기초한 자갈하천의 조도계수 특성을 분석하는데 그 목적이 있다. 조도계수는 Manning 식을 역산하여 산정하였다. 산정된 조도계수는 유량에 따라 대체로 감소하였으며, 일정한 유량 이상에서는 수렴하는 특성을 나타냈다. 마찬가지로, 상대수심(R/D)이 증가함에 따라 조도계수는 감소하는 경향을 보여주었으며, 실측 자료를 이용하여 적합식을 구한 결과 Limerinos(1970) 식과 매우 유사한 결과를 보여주었다. 일정한 유량 이상에서 수렴된 조도계수값은 0.024~0.045의 범위에 있었으며, 이를 기초로 하상재료만을 고려한 조도계수 산정식을 도출하고 기존의 식과 비교하였다.

Keywords

References

  1. 김지성, 이찬주, 김 원(2007) 실측 수위에 의한 자갈하천의 조도계수 산정. 한국수자원학회논문집, 한국수자원학회, 제40권, 제10호, pp. 755-768.
  2. 김지성, 김용전, 이찬주, 김 원(2009) 등가조고를 이용한 자갈하천의 하상저항 산정. 한국수자원학회논문집, 한국수자원학회, 제42권, 제8호, pp. 619-629. https://doi.org/10.3741/JKWRA.2009.42.8.619
  3. 유권규, 김형섭, 김활곤, 우효섭(1993) 충적하천의 하상마찰 변화에 대한 조사.분석, 대한토목학회논문집, 대한토목학회, 제13권, 제4호, pp. 111-121.
  4. 이찬주, 김 원, 김지성(2007) 국내하천의 조도계수 산정 방법 조사, 2007년 한국수자원학회 학술발표회논문집, 한국수자원학회, pp. 966-970.
  5. 이찬주, 김지성, 김치영, 김동구(2008) 자갈하천에서 연속적인 수위 자료를 이용한 경사면적법 유량 산정-달천 사례연구. 한국수자원학회논문집, 한국수자원학회, 제41권, 제5호, pp. 503-515.
  6. Bray, D.I. (1979) Estimating average velocity in gravel-bed rivers. Journal of Hydraulic Division, ASCE, Vol. 105, No. 9, pp. 1103-1122.
  7. Chow, V.T. (1959) Open-channel hydraulics, McGraw-Hill, New York, p. 680.
  8. Colebrook, C.F. and White, C.M. (1937) Experiments with fluid friction in roughened pipes, Proceedings of Royal Society, Vol. 161, p. 367. https://doi.org/10.1098/rspa.1937.0150
  9. Coon, W.F. (1995) Estimates of roughness coefficients for selected natural stream channels with vegetated banks in New York, USGS Open-file report 93-161.
  10. Dalrymple, T. and Benson, M.A. (1968) Measurement of peak discharge by the slope-area method, U.S. Geological Survey Techniques of Water-Resources Investigation, book 3, Chapter A-2, p. 12.
  11. Garde, R.J. and Raju, R.K.G. (1978) Mechanics of sediment transportation and alluvial stream problems, Wiley Eastern, New Delhi.
  12. Griffiths, G.A. (1981) Flow resistance in coarse gravel-bed rivers. Journal of Hydraulic Engineering, ASCE, Vol. 107, No. 7, pp. 899-918.
  13. Hey, R.D. (1979) Flow resistance in gravel-bed rivers, Journal of hydraulics division, Proceedings. pf American Society of Civil Engineers, Vol. 105, No. HY4, pp. 365-379.
  14. Hicks, D.M. and Mason, P.D. (1991) Roughness charateristics of New Zealand Rivers, DSIR Marine and freshwater, Wellington.
  15. International Organization for Standardization, (1992) Liquid flow measurement in open channels-Sampling and analysis of gravel-bed material, International Organization for Standardization, p. 10.
  16. Jarrett, R.D. and Petsch, H.E. Jr. (1985) Computer program NCALC user's manual - verification of Manning's roughness coefficient in channels, U.S. Geological Survey Water - Resources Investigations Report 85-4317.
  17. Keulegan, G.H. (1938) Laws of turbulent flows in open channels. Journal of Research National Bureau of Standards, 21(Research Paper 1151), pp. 707-741, Washington, D.C. https://doi.org/10.6028/jres.021.039
  18. Leopold, L.B. and Wolman, M.G. (1957) River channel patterns: braided, meandering, and straight, U.S. Geological Survey Professional Paper 282-B, 85p.
  19. Limerinos, J.T. (1970) Determination of the Manning coefficient from measured bed roughness in natural channels. U.S. Geological Survey Water-Supply Paper 1898-B.
  20. Meyer-Peter, E. and Muller, R. (1948) Formulas for bed-load transport. Proceedings of 3rd Meeting of IAHR, Stockolm, Sweden, pp. 39-64.
  21. Neill, C.R. and Hey, R.D. (1982) Gravel-bed rivers: engineering problems, Gravel-bed rivers, Ed. by Hey, R.D., Bathurst, J.C., Thorne, C.R., John Wiley & Sons, pp. 15-25.
  22. Strickler, A. (1923) Beitrage zur Frage der Geschwindigkeitsformel und der Rauhigkeitszahlen fur Strome, Kanale und geschlossene Leitungen. Mitteilungen des Eidgenossischen Amtes fur Wasserwirtschaft 16, Bern, Switzerland (Translated as Contributions to the question of a velocity formula and roughness data for streams, channels and closed pipelines. by T. Roesgan and W.R. Brownie, Translation T-10, W.M. Keck Lab of Hydraulics and Water Resources, Calif. Inst. Tech., Pasadena, Calif. January 1981).
  23. Vennard, J.K. (1961) Elementary fluid mechanics, John Wiley & Sons, New York, pp. 297-298.