本文發展以實測平均懸浮載濃度及平均流速推算明渠含懸
浮沉滓水流之速度剖面與濃度剖面的方法，並發展計算懸
浮載輸運率及底床載輸運率的數值模式，以應用於推算有
可測載資料時之底床載輸運率。本研究應用所建立之底床
質載演算模式，選擇四種底床層厚度分別演算各組試驗室
及河流量測資料得到底床載輸運率。由模式演算得出之底
床載輸運率與Einstein公式所計算之底床載輸運率比較，
當底床層厚取為10θd或0.05D時，演算所得之底床載輸運
率與Einstein底床載函數曲線頗為相符。底床質載演算模
式演算求得之底床載輸運率，可應用於檢定適用之底床載
公式。

In this paper, a method was developed to establish
both velocity profile and concentration profile for
uspended sediment based on the measured data of
average velocity and average suspended sediment
concentration. In addition, a numerical model for
computing suspended load and bed load was also
developed for computing bed load transport rate when
measurable load is available. In the study, bed loads
for published laboratory and field sediment data were
computed using the presently developed numerical model
based on four different bed layer thickness. The
computed bed loads were found to be in reasonable
agreement with the values from Einstein’s bed load
function when the thickness of the bed layer was taken
at 10θd or 0.05D. The numerical model developed in the
present study may be used to evaluate the validities of
other bed load formulas.

1. 王紹成、虞和瑩，河流動力學，人民交通出版社，北京。(1991)
2. 吉川秀夫，河工學，朝倉土木工學講座17，朝倉書店。(1966)
3. 吉川秀夫，流砂の水理學，丸善株式會社。(1985)
4. 河村三郎，土砂水理學１，森北出版株式會社。(1982)
5. 倪晉仁、王光謙、廖謙，高濃度固液兩相流中泥砂分佈的修正公式，泥砂研究，南
京。(1999)
6. 倪晉仁、梁林，水流中的泥砂懸浮(Ⅰ)(Ⅱ)，泥砂研究，北京。(2000)
7. 陳文祥，防洪工程規劃，台灣省水利局。(1982)
8. 張瑞瑾，河流泥砂動力學，水利電力出版社，武漢水利電力學院。(1988)
9. 蔡智恆、蔡長泰，明渠含懸浮沉滓水流之速度與濃度剖面之研究，中國土木水利工
程學刊，第十三卷，第二期，第383－394頁。(2001)
10. 錢寧、萬兆惠，泥砂運動力學，科學出版社。(1983)
11. 錢寧，高含砂水流運動，清華大學出版社，清華大學水利系泥砂研究室。(1989)
12. Alam, A. M. Z., and Kennedy, J. F.,“Friction factor for flow in sand bed
channels,”J. Hydr. Div., ASCE, 95(6), 1973－1992 (1969)
13. Albert Molinas, Baosheng Wu,“Transport of sediment in large sand-bed
rivers,”Journal of Hydraulic Research, Vol. 39, No.2, 135－146 (2001)
14. Allen, J. R. L. “Computational methods for dune time-lag：Calculation
using Stein’s rule for dune height.” Sediment Geol., 20(3), 165－216
(1978)
15. B. M. Sumer, A. Kozakiewicz, J. Fredǿse, and R. Deigaard,“Velocity and
concentration profiles in sheet-flow layer of movable bed,”Journal of
Hydraulic Engineering, Vol. 122, No. 10, 549－558 (1996)
16. Brownile, W. R.,“Flow depth in sand bed channel,”J. Hydr. Engrg., ASCE,
109(7), 959－990 (1983)
17. Chao-Lin Chiu, Weixia Jin, and Yen-Chang Chen“Mechanical models of
distribution of sediment concentration,”Journal of Hydraulic Engineering,
Vol. 126, No. 1, 16－23 (2000)
18. Chih Ted Yang, and Fellow,“Sediment transport in Yellow River,”Journal of
Hydraulic Engineering, Vol. 122, No. 5, 237－243 (1996)
19. Chiu, C. L.,“Entropy and probability concepts in hydraulics.”Journal of
Hydraulic Engineering, ASCE, Vol. 113. No. 5, 583－600 (1987)
20. Chunhong Hu and Yujia Hui,“Bed-load transport. Ⅰ：Mechanical
characteristics,”Journal of Hydraulic Engineering, Vol. 122, No. 5, 245－
254 (1996)
21. Chunhong Hu and Yujia Hui,“Bed-load transport. Ⅱ：Stochastic
characteristics,”Journal of Hydraulic Engineering, Vol. 122, No. 5, 255－
261 (1996)
22. Coleman, N.L.,“Flume studies of the sediment transfer coefficient,”Water
Resources Research, Vol. 6, No. 3, 801－809 (1970)
23. Daryl B. Simons and Fuat Sentürk, “Sediment Transport Theory.” (1976)
24. Engelund, F.“Hydraulic resistance of alluvial stream,”J. Hydr. Div.,
ASCE, 92(2), 315－327 (1966)
25. Engelund, F., and E. Hansen,“A monograph on sediment transport in alluvial
stream,”Teknisk Forlag, Copenhagen. (1967)
26. Engelund, F., and Fredsoe, J.,“A sediment transport model for straight
alluvial channels.”Nordic Hydro., 7(5), 293－306 (1976)
27. Fazle Karim,“Bed concentration and hydraulic resistance in alluvial-
channel flows,”Journal of Hydraulic Engineering, Vol. 121, No. 1, 15－25
(1995)
28. F. M. Henderson,“Open Channel Flow,”Macmillan Publishing Co., Inc., New
York (1966)
29. Gracia, M., and Parker, G.“Entrainment of bed sediment into suspension,”
J. Hydr. Engrg., ASCE, 117(4), 414－435 (1991)
30. Graf, W. H.,“Hydraulics of Sediment Transport,”McGraw-Hill Book Co.,
Inc., New York (1971)
31. Hans Albert Einstein,“The bed-load function for sediment transport in open
channel flows.”Technical Bulletin No. 1026, United State Department of
Agriculture, Soil Conservation Service, Washington, D.C. (1950)
32. Haque, M. I., and Mahmood, K.,“Sediment convection-diffusion and bed form
length,”J. Hydr. Engrg. ASCE, 113(11), 1381－1401 (1987)
33. Helmut M. Habersack and Jonathan B. Laronne,“Evaluation and improvement of
bed load discharge formulas based on Helley-Smith sampling in an alpine
gravel bed river,”Journal of Hydraulic Engineering, Vol. 128, No. 5, 484－
499 (2002)
34. H. M. Nagy, K. Watanabe, and M. Hirano,“Prediction of sediment load
concentration in rivers using artificial neural network model,”Journal of
Hydraulic Engineering, Vol. 128, No. 6, 588－595 (2002)
35. Hsieh Wen Shen,“River Mechanics.”Fort Collins, Colorado, USA. (1971)
36. Karim, M. F., and Kennedy, J. F.,“Computer-based predictors for sediment
discharge and friction-factor of alluvial streams,”Proc., 2nd, Int. Symp.
on river sedimentation, Water Resources and Electric Power Press, Beijing,
China. (1983)
37. Leo C. van Rijn,“Handbook Sediment transport, 2nd Edition.”Currents &
Waves. (1990)
38. Lovera, F., and Kennedy, J. F.,“Friction-factors for flat-bed flows in
sand channels,”J. Hydr. Div., ASCE, 95(4), 1227－1234 (1969)
39. Meyer-Peter, P. E., and R. Müller,“Formulas for bed load transport,”
Proceeding of the 3rd International Association for Hydraulic Research,
Stockholm, 39－64 (1948)
40. M. S. Yalin, “Mechanics of sediment Transport, 2nd Edition,” Great
Britain, Biddles Ltd, Surrey. (1976)
41. Nadim M. Aziz,“Error estimate in Einstein’s suspended sediment load
method,”Journal of Hydraulic Engineering, Vol. 122, No. 5, 282－285 (1996)
42. Nian-Sheng Cheng,“Effect of concentration on settling velocity of sediment
particles,”J. Hydr. Engrg., Vol. 123, No. 8, 728－731 (1997)
43. Ni, J. R. and Wand, G.Q.,“Vertical sediment distribution,”Journal of
Hydraulic Engineering, ASCE, Vol. 117, No. 9, 1184－1194 (1991)
44. Ranga Raju K. G., and Soni, J. P., “Geometry of ripples and dunes in
alluvial channels.” J. Hydr. Res., Delft, The Netherlands, 14(3). (1976)
45. Richardson, E. V., and D. B. Simons,“Resistance to flow in sand channels.”
Proceeding of International Association for Hydraulic Research, 12th
Congress, Fort Collins, Colorado, Vol. 1, 141－150 (1967)
46. Rijn, L. C., van, “Sediment transport, part Ⅱ：suspended load transport,”
Journal of Hydraulic Engineering, ASCE, vol. 110, No. 11, pp. 1613－1641
(1984)
47. Rouse, H.,“Modern conceptions of the mechanics of fluid turbulence.”
Transactions of the Hydraulics Divisions, ASCE, Vol. 102, 463－505 (1937)
48. Smith J. D., and Mclean, S. R.,“Spatially averaged flow over a wavy
surface.”J. Geophys. Res. 82(12), 1735－1746 (1977)
49. Shu-Qing Yang and Siow-Yong Lim,“Total load transport formula for flow in
alluvial channels,”Journal of Hydraulic Engineering, Vol. 129, No. 1, 68－
72 (2003)
50. Tsai, C. H. and Tsai, C.T.,“Velocity and concentration distributions of
sediment-laden open channel flow,”Journal of the American Water Resources
Association, Vol. 36, No. 5, 1075－1086 (2000)
51. Umeyama, M., and Gerritsen, F.,“Velocity distribution in uniform sediment-
laden flow,”Journal of Hydraulic Engineering, ASCE, Vol. 118, No. 2, 229－
245 (1992)
52. W. Czernuszenko,“Drift velocity for sediment-laden flows,”Journal of
Hydraulic Engineering, Vol. 124, No. 10, 1026－1033 (1998)
53. Wilson, K. C.,“Frictional behavior of sheet flow,”Progress Rep. 67, ISVA,
Technical University of Demark, Lyngby, Demark, 11－22 (1988)
54. Yalin, M. S.,“Mechanics of Sediment Transport.”Program Press, Inc., New
York. (1972)
55. Yang, C. T., “Incipient motion and sediment transport.” Journal of
Hydraulics Division, ASCE, Vol. 99, No. HYD10, 1679－1704 (1973)
56. Yang, Chih Ted, “Sediment Transport：Theory and Practice.” The McGraw-
Hill Companies, Inc. (1996)
57. Yarko Nino and Marcelo García,“Experiment on Saltation of sand in water,”
Journal of Hydraulic Engineering, Vol. 124, No. 10, 1014－1025 (1998)
58. Zhilin Sun and John Donahue,“Statistically derived bedload formula for
fraction of nonuniform sediment,”Journal of Hydraulic Engineering, Vol.
126, No. 2, 105－111 (2000)
59. Zhixian Cao,“Eqilibrium near bed concentration of suspended sediment,”
Journal of Hydraulic Engineering, Vol. 12, No. 125, 1270－1278 (1999)
60. Zyserman, J. A. and Fredsoe, J.,“Data analysis of bed concentration of
suspended sediment,”J. Hydr. Engrg., ASCE, 120(9), 1021－1042 (1994)