Fig. 1. ξ-η Coordinates in open-channel sections (Chiu and Murray, 1992)
Fig. 2. Contour plot of primary velocity with reference values of shape parameters (Cha, 2015)
Fig. 3. Contour plot of primary velocity with (Cha, 2015)
Fig. 4. Estimate parameter h, versus B/D and mannings n (Chiu and Chiou, 1986)
Fig. 5. Contour plot of primary velocity with βi (Cha, 2015)
Fig. 6. Estimate parameter βi, versus B/D and mannings n (Chiu and Chiou, 1986)
Fig. 7. Contour plot of non-dimensional primary velocity with M (Cha, 2015)
Fig. 8. Measuring facility installation location
Fig. 9. Installation of V-ADCP (MOLIT, 2016)
Fig. 10. Measurement of V-ADCP (Principle) (Sontek, 2003)
Fig. 11. Definition of variables in cross-sectional grid
Fig. 12. Range of valid cell to change of water level
Fig. 13. Result of sensitivity analysis for y/B
Fig. 14. Result of sensitivity analysis for h/D
Fig. 15. Result of sensitivity analysis for βi
Fig. 16. Result of sensitivity analysis for M
Fig. 17. Comparison of result from calculated discharge and measured discharge
Fig. 18. Comparison of relative error between calculated discharge and measured discharge
Fig. 19. Rating curve of EOUGYO
Fig. 20. Index velocity rating of V-ADCP
Fig. 21. Comparison of measurements from VPM, RCM, IVM and manual discharge measurement
Table 1. Result from ADCP, ADV with manual discharge measurements
Table 2. Initial values of parameters applied to sensitivity analysis for y/B and h/D
Table 3. Initial values of parameters applied to sensitivity analysis for βi
Table 4. Initial values of parameters applied to sensitivity analysis for M
Table 5. Results of parameter sensitivity analysis
Table 6. Result of optimum parameters calculated by trial and error method
Table 7. Index velocity rating of V-ADCP
Table 8. Comparison of result from VPM, RCM, IVM with manual discharge measurements
References
- Cha, J. H., (2015). Development and Application of Velocity Profile Method with Poisson Equation. Ph. D. dissertation, University of hanyang, Seoul, Republic of Korea.
- Chiu, C.-L., and Chiou, J.-D. (1986). "Structure of 3-D flow in rectangular open channels." Journal of Hydraulic Engineering, ASCE, Vol. 112, No. 11, pp. 1050-1067. https://doi.org/10.1061/(ASCE)0733-9429(1986)112:11(1050)
- Chiu, C-L. (1987). "Entropy and probability concepts in Hydraulics." Journal of Hydraulic Engineering, ASCE, Vol. 113, No. 5, pp. 583-599. https://doi.org/10.1061/(ASCE)0733-9429(1987)113:5(583)
- Chiu, C-L. (1988). "Entropy and 2-D velocity distribution in open channels." Journal of Hydraulic Engineering, ASCE, Vol. 114, No. 10, pp. 738-756. https://doi.org/10.1061/(ASCE)0733-9429(1988)114:7(738)
- Chiu, C-L., and Murray, D. W. (1992). "Variation of velocity distribution along nonuniform open- channel flow." Journal of Hydraulic Engineering, ASCE, Vol. 118, No. 7, pp. 989-1001. https://doi.org/10.1061/(ASCE)0733-9429(1992)118:7(989)
- Chiu, C-L., and Said, C. A. A. (1995). "Maximum and mean velocities and entropy in open-channel flow." Journal of Hydraulic Engineering, ASCE, Vol. 121, No. 1, pp. 26-35. https://doi.org/10.1061/(ASCE)0733-9429(1995)121:1(26)
- Chiu, C-L., and Tung, N-C. (2002). "Maximum velocity and regularities in open-channel flow." Journal of Hydraulic Engineering, ASCE, Vol. 128, No. 4, pp. 390-398. https://doi.org/10.1061/(ASCE)0733-9429(2002)128:4(390)
- DeGroot, M. H. (1975). Probability and statistics. Addison-Wesley Publishing Co., Reading, Massa- chusetts.
- Einstein, H. A., and Chein, N. (1955). "Effects of heavy sediment concentration near the bed on velocity and sediment distribution." MRD series No. 8, University of California, Institute of Engineering Research and U.S. Army Engineering Division,
- Missouri River Corps of Engineers, Omaha, Nebraska. International Organization for Standardization (2010). Hydrometry-Guidelines for the application of acoustic velocity meters using the Doppler and echo correlation methods, ISO 15769.
- Kim, C. W., Lee, M. H., Yoo, D. H., and Jung, S. W. (2008) "Discharge computation in natural rivers using chiu's velocity distribution and estimation of maximum velocity," Journal of Korea Water Resources Association, KWRA, Vol. 41, No. 6, pp. 575-585. https://doi.org/10.3741/JKWRA.2008.41.6.575
- Kim, C. Y. (2010). Development of Velocity Profile Method for Streamflow Estimation and Its Applicability, Ph. D. dissertation, University of Inha, Incheon, Republic of Korea.
- Kim, Y. S., Yang, J. R., Choo, T. H., Ko, I. H., and Kim, W. G. (2001). "Application of discharge measurement method using entropy," Proceedings of Korean Society of Civil Engineers Conference, KSCE, pp. 1-4.
- Lee, C. J., Seo, I. W., Kim, C. H., and Kim, W. (2007). "Application of chiu's dimensional velocity distribution equations to natural rivers," Journal of Korea Water Resources Association, KWRA, Vo. 40, No. 12, pp. 957-968. https://doi.org/10.3741/JKWRA.2007.40.12.957
- Ministry of Construction and Transportation (MOCT) (2007). Improvement of water use management system. I., Republic of Korea.
- Ministry of Land, Transport and Maritime (MLTM) (2008). Improvement of water use management system. II., Republic of Korea.
- Ministry of Land, Infrastructure and Transport (MOLIT) (2016). Report of Hydrological Survey., Republic of Korea.
- Moramarco, T., Saltalippi, C., Singh, V. P. (2004). "Estimation of mean velocity in natural channels based on Chiu's velocity distribution equation." Journal of Hydrologic Engineering., ASCE, Vol. 9, No. 1, pp. 42-50. https://doi.org/10.1061/(ASCE)1084-0699(2004)9:1(42)
- Rantz, S.E., and others. (1982b). Measurement and Computation of Streamflow : Volume 2. Computation of Discharge, Water-Supply Paper 2175, U.S. Geological Survey, pp. 285-631.
- Sontek/YSI (2003). Argonaut-SW System Manual.
- Xia, R. (1997). "Relation between mean and maximum velocities in a natural river." Journal of Hydraulic Engineering, ASCE, Vol. 123, no. 8, pp. 720-723. https://doi.org/10.1061/(ASCE)0733-9429(1997)123:8(720)