TECHNICAL PAPERS
Nov 1, 1987

Critique of the Regime Theory for Alluvial Channels

Publication: Journal of Hydraulic Engineering
Volume 113, Issue 11

Abstract

In 1930, Lacey formulated Lindley's ideas on regime canals employing three sets of data, none of which were complete. In the next 55 years, the formulas have undergone scrutiny but are used today in a form quite similar to the original. We have compared Lacey's and subsequent regime equations to the equations of conservation of mass and Newton's laws for water and sediment. The conclusions are that: fVRfRS for almost all canals in regime; fVR is a measure of the concentration of sand being transported provided the transport is vanishingly small; fVR and fRS are uniquely related in all channels, rigid and alluvial, in which the kinematic wave number, is one; and Lacey's roughness factor is heavily biased towards gravel and boulder channels. These findings do not detract from the geomorphic value of Lacey's regime. For engineering, however, a reformulation employing the conservation laws and Newton's laws is in order.

Get full access to this article

View all available purchase options and get full access to this article.

References

1.
Ackers, P. (1964). “Experiments on small streams in alluvium.” J. Hydr. Div., ASCE 90(4), 1–37.
2.
Beiser, A. (1982). Concepts of modern physics. 3rd ed. McGraw‐Hill International Book Co., Singapore.
3.
Blench, T. (1957). Regime behaviour of canals and rivers. Butterworths Scientific Publications, London, U.K.
4.
Blench, T. (1963). Discussion of “Uniform conveyance channels in alluvial material,” by Simons, D. B., and Albertson, M. L., Transactions, ASCE, 128(Part 1), 123–129.
5.
Blevins, R. D. (1984). Applied fluid dynamics handbook. Van Nostrand Reinhold Company Inc., Berkshire, England, 166–170.
6.
Bose, N. K. (1936). “Silt movement and design of canals.” Proc. Punjab Engrg. Cong., India, XXIV.
7.
Brown, C. B. (1950). “Sediment transportation.” Engineering hydraulics. H. Rouse, ed. John Wiley & Sons, New York, N.Y., 769–857.
8.
Chen, Y. H., Holly, F. M., Jr., Mahmood, K., and Simons, D. B. (1975). “Transport of material by unsteady flow.” Unsteady flow in open channels. K. Mahmood and V. Yevjevich, eds., Vol. 1. Water Resources Publications, Fort Collins, Colo., 313–365.
9.
Chien, N. (1956). “Graphic design of alluvial channels.” Transactions, ASCE, 121, 1267–1280.
10.
Chien, N. (1957). “A concept of the regime theory.” Transactions, ASCE, 122, 785–793.
11.
Chow, V. T. (1959). Open‐channel hydraulics. McGraw‐Hill Book Company, New York, N.Y., 164–174.
12.
Colby, B. R. (1964). “Discharge of sands and mean velocity relationships in sand‐bed streams.” Professional Paper No. 462‐A. U.S. Geological Survey, Washington, D.C.
13.
Colby, B. R., and Hembree, C. H. (1955). “Computations of total sediment discharge, Niobrara River near Cody, Nebraska.” Water‐Supply Paper No. 1375. U.S. Geological Survey, Washington, D.C.
14.
Culbertson, J. K., and Dawdy, D. R. (1964). “A study of fluvial characteristics and hydraulic variables, middle Rio Grande, New Mexico.” Water‐Supply Paper 1498‐F. U.S. Geological Survey, Washington, D.C.
15.
Cunge, J. A., Holly, F. M., Jr., and Verwey, A. (1980). Practical aspects of computational hydraulics. Pitman Advanced Publishing Program, London, England, 271–311.
16.
Ding, L. (1985). “Computation of deposition and scouring in reservoirs.” Lecture notes of the training course on reservoir sedimentation, Int. Res. and Training Centre on Erosion and Sedimentation, Beijing, IV‐6.
17.
Einstein, H. A. (1950). “The bed‐load function for sediment transportation in open channels.” Technical Bulletin 1026. U.S. Department of Agriculture, Soil Conservation Service, Washington, D.C.
18.
Engelund, F., and Hansen, E. (1967). A monograph on sediment transport in alluvial streams. 2nd ed. Teknisk Forlag, Copenhagen V, Denmark.
19.
Gill, M. A. (1968). “Rationalization of Lacey's regime equations.” J. Hydr. Div., ASCE, 94(4), 983–995.
20.
Gribbin, J. (1984). In search of Schrodinger's cat. Bantam Books, New York, N.Y.
21.
Haque, M. I., and Mahmood, K. (1985). “Form friction factor in sandbed canals.” Presented at the March 3–6, Third US‐Pakistan Binational Symp. on Mech. of Alluvial Channels, held at Lahore, Pakistan.
22.
Inglis, C. C. (1948). “Historical note on empirical equations developed by engineers in India for flow of water and sand in alluvial channels.” Proc., 2nd Meeting, Int. Assoc. For Hydr. Struct., Stockholm, Sweden.
23.
Inglis, C. C. (1963). Discussion of “Uniform conveyance channels in alluvial material,” by Simons, D. B., and Albertson, M. L., Transactions, ASCE, 128(1), 129–134.
24.
Kennedy, J. F. (1975). “Hydraulic relations for alluvial streams.” Sedimentation engineering. Ch. 2. V. A. Vanoni, ed., ASCE, New York, N.Y., 114–154.
25.
Kennedy, R. G. (1894). “The prevention of silting in irrigation canals.” Minutes of the Proc., Inst. Civ. Engs., London, England, 119, 281–290.
26.
Lacey, G. (1930). “Stable channels in alluvium.” Minutes of the Proc., Inst. of Civ. Engrs., London, England, 229, 259–292.
27.
Lacey, G. (1930a). Closure to “Stable channels in alluvium.” Minutes of the Proc., Inst. of Civ. Engrs., London, England, 229, 353–384.
28.
Lacey, G. (1935). “Uniform flow in alluvial rivers and canals.” Minutes of Proc., Inst. of Civ. Engrs., London, England, 237, 421–453.
29.
Lacey, G. (1940). “Shock in regime channels.” Proc. Punjab Engrg. Cong., XXVII, Lahore.
30.
Lacey, G. (1947). “A general theory of flow in alluvium.” Inst. of Civ. Engrs., (Journal supplement). London, England, 8, 425–451.
31.
Lacey, G. (1963). Discussion of “Uniform water conveyance channels in alluvial material,” by Simons, D. B., and Albertson, M. L., Transactions, ASCE, 128(1), 107–113.
32.
Lacey, G. (1970). “The regime concept of sediment‐transporting canals and rivers.” Presented at the Inst. of River Mech., Colorado State Univ., Fort Collins, Colo., June 15–26, 30.
33.
Lane, E. W. (1952). “Progress report on results of studies on the design of stable channels.” Report No. HYA‐352. U.S. Bureau of Reclamation, Denver, Colo.
34.
Lane, E. W. (1955). “Design of stable channels.” Transactions, ASCE, 120, 1234–1260.
35.
Lindley, E. S. (1919). “Regime channels.” Proc. Punjab Engrg. Cong. 7, 63–74.
36.
Lindley, E. S. (1930). Discussion of “Stable channels in alluvium,” by Lacey, G., Minutes of the Proc., Inst. of Civ. Engrs., London, England, 229, 293–303.
37.
Mahmood, K. (1973). “Variation of regime coefficients in Pakistan canals.” Presented at the July 9–12, ASCE National Transp. Engrg. Meeting, held at Tulsa, Okla.
38.
Mahmood, K., Haque, M. I., Choudri, A. M., and Masood, T. (1984). “ACOP canals equilibrium data, volume IX—Part I, combined 1979–1980 data.” Report No. EWR‐84‐1. Civ., Mech. and Envir. Engrg. Dept., George Washington Univ., Washington, D.C.
39.
Mahmood, K., Haque, M. I., Choudri, A. M., and Malik, M. A. (1984a). “ACOP canals equilibrium data, volume IX—part II, combined 1979–1980 data,” Report No. EWR‐84‐1. Civ., Mech. and Envir. Engrg. Dept., George Washington Univ., Washington, D.C.
40.
Mahmood, K., Haque, M. I., Choudri, A. M., and Mehrdad, H. (1984b). “ACOP canals equilibrium data, volume IX—part III, combined 1979–1980 data.” Report No. EWR‐84‐1. Civ., Mech. and Envir. Engrg. Dept., George Washington Univ., Washington, D.C.
41.
Mahmood, K., Mehrdad, M. H., Haque, M. I., and Choudri, A. M. (1984c). “Bed‐form data in ACOP canals, equilibrium runs, 1979–1980.” Report No. EWR‐84‐3. Civ., Mech. and Envir. Engrg. Dept., George Washington Univ., Washington, D.C.
42.
Mahmood, K., and Shen, H. W. (1971). “The regime concept of sediment‐transporting canals and rivers.” River Mech., Ch. 30, H. W. Shen, ed., 2, H. W. Shen, Fort Collins, Colo.
43.
Mao, S. W., and Flook, L. R. (1971). “Link canal design practices in West Pakistan.” River Mech., Appendix A, H. W. Shen, ed., 2, H. W. Shen, Fort Collins, Colo.
44.
Simons, D. B., and Albertson, M. L. (1960). “Uniform water conveyance channels in alluvial material.” J. Hydr. Div., ASCE, 86(5), 33–71.
45.
Simons, D. B., and Albertson, M. L. (1963). “Uniform water conveyance channel in alluvial material.” Transactions, ASCE, 128(1), 65–107.
46.
Simons, Li & Associates (1982). Engineering analysis of fluvial systems. Simons, Li & Associates, Fort Collins, Colo., 7–35.
47.
Stebbings, J. (1963). “The shapes of self‐formed model alluvial channels.” Proc. Inst. of Civ. Engrs., London, England, 25, 485–510.
48.
Stevens, M. A. (1985). “Modeling with the St. Venant equations.” Proc. D. B. Simons Symp. on Erosion and Sedimentation. Li, R. M., Lagasse, P. F., and Simons, Li & Associates, eds., Simons, Li & Associates, Fort Collins, Colo., 8.40–8.62.
49.
Stevens, M. A. (1986). “Width of straight alluvial channels.” Paper submitted to J. Hydr. Engrg., ASCE for possible publication, July.
50.
Tarar, R. N., and Choudri, A. M. (1979). “Behavioral evaluation of some Pakistan canals, part 1.” Presented at the June 26–29, Int. Symp. on Mech. of Alluvial Channels, held at Lahore, Pakistan.
51.
Taylor, B. D. (1971). “Temperature effects in alluvial streams.” Report No. KH‐R‐27. W. M. Keck Lab. of Hydr. and Water Resources, California Inst. of Tech., Pasadena, Calif.
52.
West Pakistan Water and Power Authority (no date). “Canal and headworks data observation programme, 1962‐63 data tabulation,” Part I, Lahore, West Pakistan.
53.
White, W. R., Paris, E., and Bettess, R. (1980). “The frictional characteristics of alluvial streams; a new approach.” Proc. Inst. of Civ. Engrs., 69(2), 737–750.
54.
Woods, F. W. (1930). Discussion of “Stable channels in alluvium,” by Lacey, G., Minutes of the Proc., Inst. of Civ. Engrs., London, England, 229, 303–309.

Information & Authors

Information

Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 113Issue 11November 1987
Pages: 1359 - 1380

History

Published online: Nov 1, 1987
Published in print: Nov 1987

Permissions

Request permissions for this article.

Authors

Affiliations

Michael A. Stevens
Consultant, P.O. Box 3263, Boulder, CO 80307
Carl F. Nordin, Jr., Member, ASCE
S. Res. Sci., Colorado State Univ., Fort Collins, CO

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share