DOI QR코드

DOI QR Code

원격영상자료와 수치고도모형으로부터 하폭-유량 관계식 도출

Deriving Channel Width-discharge Relationship from Remote Sensing Imagery and Digital Elevation Models

  • 김종천 (고려대학교 건축사회환경공학과) ;
  • 백경록 (고려대학교 건축사회환경공학과)
  • Kim, Jong Chun (School of Civil, Environmental, and Architectural Engineering, Korea University) ;
  • Paik, Kyungrock (School of Civil, Environmental, and Architectural Engineering, Korea University)
  • 투고 : 2015.05.19
  • 심사 : 2015.08.03
  • 발행 : 2015.08.31

초록

본 논문에서는 원격탐사자료를 이용하여 하천의 하폭-유량 관계식을 도출하는 방법을 제안하였다. 고해상도 원격영상으로부터 하천의 여러 단면에 대해 수면 폭을 측정하였다. 각 단면 지점에 해당하는 유역면적은 수치고도모형으로부터 계산하여하폭-유역면적 관계식을 구하였다. 한편, 지상관측소의 유량자료를 이용하여 측정된 유량과 관측소 별 유역면적 사이의 관계식을 구하고, 이렇게 얻어진 두 개의 관계식을 짝지어 수리기하 관계식 중 하나인 하폭-유량 관계식을 도출하였다. 본 방법의 타당성을 확인하고자 낙동강과 섬진강을 대상으로 하폭-유량 관계식의 지수 값을 살펴보았다. 그 결과, 지상관측자료의 회귀식에서 얻은 하폭과 유량 사이의 관계식과 비교하여, 비슷한 범위의 지수 값이 계산되었다. 본 연구의 접근법은 실측자료에 의존했던 전통적인 수리기하 분석 방법을 탈피하여 현장 자료의 한계를 극복할 수 있는 대안이라고 할 수 있다.

We propose a method for deriving the relationship between channel width and discharge from remote sensing products. Stream widths at points distributed along a river network can be measured from high-resolution remote imagery. Further, corresponding drainage area for these points can be calculated using digital elevation models, making it possible to construct width-drainage area relation. On the other hand, the relationship between the flow discharge and the drainage area is obtained from historical data measured at ground stations. By coupling these two relationships, we can finally derive the width-discharge relationship which comprises an important component of downstream hydraulic geometry. The proposed method was tested for the Nakdong River and the Seomjin River, successfully capturing power-law exponents in the width-discharge relationships reported in earlier studies. The proposed approach can serve as an alternative for obtaining the hydraulic geometry relationship under the limits of ground data.

키워드

참고문헌

  1. Brush, L.M. (1961). "Drainage basins, channels, and flow characteristics of selected streams in central Pennsylvania." U.S. Geological Survey Professional Paper, Vol. 282F, pp. 145-181.
  2. Clark, C.O. (1945). "Storage and the unit hydrograph." Transactions of the American Society of Civil Engineers, Vol. 110, No. 1, pp. 1419-1446.
  3. Conesa-Garcia, C., Caselles-Miralles, V., Tomas, J.M. S., and Garcia-Lorenzo, R. (2010). "Hydraulic geometry, GIS and remote sensing, techniques against rainfallrunoff models for estimating flood magnitude in ephemeral fluvial systems." Remote Sensing, Vol. 2, No. 11, pp. 2607-2628. https://doi.org/10.3390/rs2112607
  4. Dodov, B., and Foufoula-Georgiou, E. (2004). "Generalized hydraulic geometry: Derivation based on a multiscaling formalism." Water Resources Research, Vol. 40, No. 6.
  5. Finnegan, N.J., Roe, G., Montgomery, D.R., and Hallet, B. (2005). "Controls on the channel width of rivers: Implications for modeling fluvial incision of bedrock." Geology, Vol. 33, No. 3, pp. 229-232. https://doi.org/10.1130/G21171.1
  6. Garbrecht, J., and Martz, L.W. (1997). "The assignment of drainage direction over flat surfaces in raster digital elevation models." Journal of Hydrology, Vol. 193, No. 1-4, pp. 204-213. https://doi.org/10.1016/S0022-1694(96)03138-1
  7. Hey, R.D., and Thorne, C.R. (1986). "Stable channel with mobile gravel beds." Journal ofHydraulic Engineering, Vol. 112, No. 8, pp. 671-689. https://doi.org/10.1061/(ASCE)0733-9429(1986)112:8(671)
  8. Ibbitt, R.P. (1997). "Evaluation of optimal channel network and river basin heterogeneity concepts using measured flow and channel properties." Journal of Hydrology, Vol. 196, No. 1, pp. 119-138. https://doi.org/10.1016/S0022-1694(96)03293-3
  9. Jung, D., Paik, K., and Kim, J.H. (2013). "Relationship between downstream hydraulic geometry and suspended sediment concentration characteristics." Journal of Hydro-Environment Research, Vol. 7, No. 4, pp. 243-252. https://doi.org/10.1016/j.jher.2013.03.002
  10. Kerby, W.S. (1959). "Time of concentration for overland flow." Civil Engineering, Vol. 29, No. 3, pp. 60.
  11. Kim, J.-W. (1991). "Functional relationship between factors of fluvial morphology." Journal of the Korean Geographic Society, Vol. 26, No. 1, pp. 1-29. (in Korean)
  12. Kim, J.-W. (1999). "A Study of channel slope and grain size of coarse bed materials instreams in the Youngseo and Youngdong area, Korea." Journal of the Korean Geographic Society, Vol. 34, No. 4, pp. 355-370. (in Korean)
  13. Kirpich, P.Z. (1940). "Time of concentration of small agricultural watersheds." Civil Engineering, Vol. 10, No. 6, pp. 362.
  14. Knighton, A.D. (1987). "River channel adjustment-the downstream dimension." in Richards, K.S. (ed.), River channels: Environment and process, Blackwell, Oxford, pp. 95-128.
  15. Lee, H.C., and Lee, E.T. (2003). "A study on the channel forming discharge estimation and the hydraulic geometry characteristics of the alluvial stream." Journal of Korea Water Resources Association, Vol. 36, No.5, pp. 823-838. (in Korean) https://doi.org/10.3741/JKWRA.2003.36.5.823
  16. Leopold, L.B. (1994). A view of river. Harvard University Press.
  17. Leopold, L.B., and Langbein, W.B. (1962). "The concept of entropy in landscape evolution." U. S. Geological Survey Professional Paper, Vol. 500-A.
  18. Leopold, L.B., and Maddock, T.J. (1953). "The hydraulic geometry of stream channels and some physiographic implications." U. S. Geological Survey Professional Paper, Vol. 252.
  19. Leopold, L.B., Wolman, M.G., and Miller, J.P. (1964). Fluvial Process in Geomorphology. W. H. Freeman, New York.
  20. Manning R. (1891). "On the flow of water in open channels and pipes." Transactions of the Institution of Civil Engineers of Ireland, Vol. 20, pp. 161-207.
  21. McKerchar, A.I., Ibbitt, R.P., Brown, S.L.R., and Duncan, M.J. (1998). "Data for Ashley River to test channel network and river basin heterogeneity concepts." Water Resources Research, Vol. 34, No. 1, pp. 139-142. https://doi.org/10.1029/97WR02573
  22. O'Callaghan, J.F., and Mark, D.M. (1984). "The extraction of drainage networks from digital elevation data." Computer Vision, Graphics, and Image Processing, Vol, 28. No. 3, pp. 323-344. https://doi.org/10.1016/S0734-189X(84)80011-0
  23. Paik, K. (2008). "Global search algorithm for nondispersive flow path extraction." Journal of Geophysical Research, Vol. 113, No. F4.
  24. Paik, K., and Kumar, P. (2004). "Hydraulic geometry and the nonlinearity of the network instantaneous response." Water Resources Research, Vol. 40, No. 3.
  25. Paik, K., Jung, D., and Kim, J.H. (2010). "Flow variability and channel geometry of the Seomjin river." Asia Pacific Association of Hydrology and Water Resources Conference, Hanoi, Vietnam, 8-9 November, pp. 79-84.
  26. Park, C.C. (1977). "World-wide variations in hydraulic geometry exponents of stream channels: an analysis and some observations." Journal of Hydrology, Vol. 33, pp. 133-146. https://doi.org/10.1016/0022-1694(77)90103-2
  27. Potere, D. (2008). "Horizontal positional accuracy of Google Earth's high-resolution imagery archive." Sensors, Vol. 8, No. 12, pp. 7973-7981. https://doi.org/10.3390/s8127973
  28. Rhoads, B.L. (1991). "A continuously varying parameter model of downstream hydraulic geometry." Water Resources Research, Vol. 27, No. 8, pp. 1865-1872. https://doi.org/10.1029/91WR01363
  29. Robinson, J.S., Sivapalan, M., and Snell, J.D. (1995). "On the relative roles of hillslope processes, channel routing, and network geomorphology in the hydrologic response of natural catchments." Water Resources Research, Vol. 31, No. 12, pp. 3089-3101. https://doi.org/10.1029/95WR01948
  30. Saco, P.M., and Kumar, P. (2002). "Kinematic dispersion in stream networks 1. Coupling hydraulic and network geometry." Water Resources Research, Vol. 38, No. 11, pp. 26-1-26-4.
  31. Singh, K.P., and Broeren, S.M. (1989). "Hydraulic geometry of streams and stream habitat assessment." Journal ofWater Resources Planning and Management, Vol. 115, No. 5. pp. 583-597. https://doi.org/10.1061/(ASCE)0733-9496(1989)115:5(583)
  32. Singh, V.P. (2003). "On the theories of hydraulic geometry." International Journal of Sediment Research, Vol. 18, No. 3, pp. 196-218.
  33. Smith, L.C., and Pavelsky, T.M. (2008). "Estimation of river discharge, propagation speed, and hydraulic geometry from space: Lena River, Siberia." Water Resources Research, Vol. 44, No. 3.
  34. Stall, J.B., and Fok, Y.S. (1968). "Hydraulic geometry of Illinois streams." University of Illinois Water Resources Center Research Report, Vol. 15.
  35. Stall, J.B.,and Yang, C.T. (1970). "Hydraulic geometry of 12 selected stream systems of the United States." University of Illinois Water Resources Center Research Report, Vol. 32.
  36. Sun, W., Ishidaira, H., and Bastola, S. (2010). "Towards improving river discharge estimation in ungauged basins: calibration of rainfall-runoff models based on satellite observations of river flow width at basin outlet." Hydrology and Earth System Sciences Discussions, Vol. 7, No. 3, pp. 3803-3836. https://doi.org/10.5194/hessd-7-3803-2010
  37. Tarboton, D.G. (1997). " A new method for the determination of flow directions and upslope areas in grid digital elevation models."Water Resources Research, Vol. 33, No. 2, pp. 309-319. https://doi.org/10.1029/96WR03137
  38. Turnipseed, D.P., and Sauer, V.B. (2010). "Discharge measurements at gaging stations: U.S. Geological Survey Techniques and Methods book 3." No. A8, pp. 87- (Also available at http://pubs.usgs.gov/tm/tm3-a8/)
  39. Woo, H., Yu, K.K., and Park, J.-K. (1994). "A preliminary study of the hydraulic-geometrical relations of bed slope in some selected alluvial rivers." Journal of the Korean Geographic Society, Vol. 29, No. 3, pp. 253-265. (in Korean)