THE BORDERS OF THE RIDGE FORMS OF SEDIMENT MOVEMENT
Pages 122-129
The article describes the active equilibrium motion of bed forms, which occurs in rivers during high water periods. The authors consider the relation between an average size of the particles of which little bed-forms (rifles) are formed and an average size of non-cohesive material in case of which armoring is formed in a river. These particles have a diameter of 0.5…0.6 mm. This boundary is associated with different mechanisms of stability loss for smaller particles, for which the probability of weighing is greater than for the larger particles. The article offers the extrapolation of the dependence of the ratio of average speed to critical speed received by V.N. Goncharov at small depths (up to 0.2 m) at the depth of 5 m on the basis of the experiments presented by V. Rijn. It is shown that the ratio of the dynamic speed to its critical value decreases with the increase in the size of alluvial particles, for bed formation and wash moments. For the moments of bed formation reaching the maximum bed height (maximum resistance in the channel) and erosion of the bed-forms was well confirmed by the values of the dimensionless parameter (the ratio of average velocity to hydraulic size taking into account the flow regime) for a particle size of about 1 mm.
DOI: 10.22227/1997-0935.2015.9.122-129
- Allen J.R.L. River Bedforms: Progress and Problems. Modern and Ancient Fluvial Systems. Oxford, Blackwell Publishing Ltd., 2009, pp. 19—33. DOI: http://dx.doi.org/10.1002/9781444303773.ch2.
- Gaeuman D., Jacobson R.B. Field Assessment of Alternative Bed Load Transport Estimators. J. Hydraulic Eng. 2007, vol. 133, no. 12, pp. 1319—1328. DOI: http://dx.doi.org/10.1061/(ASCE)0733-9429(2007)133:12(1319).
- Rijn Van L.C. Sediment Transport Part III Bed Forms and Alluvial Roughness. J. Hydraul Eng. 1984, vol. 110, no. 12, pp. 1433—1454. DOI: http://dx.doi.org/10.1061/(ASCE)0733-9429(1984)110:12(1733).
- Bogardi J. Sediment Transport in Alluvial Streams. Budapest, Akademia Riado Publ., 1974, 826 p.
- Grishanin K.V. Gidravlicheskie soprotivleniya estestvennykh rusel [Hydraulic Resistances of Natural channels]. Leningrad, Gidrometeoizdat Publ., 1992, 184 p. (In Russian)
- Senturk F.A. Definition of Resistance Bed-Load in Streams. Proc. XII Congr. IAHR. Vol. 1. 1967, pp. 165—170.
- Yalin M.S. Mechanics of Sediment Transport. 2nd. ed. Oxford, New York, Pergamon Press, 1977, 290 p.
- Mazhidov T.Sh. Eksperimental’noe issledovanie vliyaniya sostava nanosov na kharakteristiki potoka i rusla [Experimental Study of the Effect of Sediment Composition on the Characteristics of Flow and Bed]. Trudy V Vsesoyuznogo gidrologicheskogo s”ezda [Proceedings of the 5th All-Union Hydrological Congress]. Vol. 10, book. 2. Leningrad, Gidrometeoizdat Publ., 1988, pp. 40—47. (In Russian)
- Rossinskiy K.I., Debol’skiy V.D. Rechnye nanosy [River Loads]. Moscow, Nauka Publ., 1980, 266 p. (In Russian)
- Volgina L.V. Statisticheskie kharakteristiki turbulentnosti [Statistical Characteristics of Turbulence]. Materialy IV nauchno-prakticheskoy konferentsii molodykh uchenykh, aspirantov i doktorantov [Proceedings of the 4th Science and Practice Conference of Young Scientists, Postgraduates and Doctoral Students]. Moscow, MGSU Publ., 2001, pp. 61—63. (In Russian)
- Mirtskhulava Ts.E. Razmyv rusel i metodika otsenki ikh ustoychivosti [Erosion of Channels and Methods of Evaluating Their Sustainability]. Moscow, Kolos Publ., 1967, 170 p. (In Russian)
- Korn G., Korn T. Spravochnik po matematike dlya nauchnykh rabotnikov i inzhenerov [Mathematical Handbook for Scientists and Engineers]. Moscow, Nauka Publ., 1973, 832 p. (In Russian)
- Verbitskiy V.S., Khodzinskaya A.G. Uchet form dvizheniya nanosov pri opredelenii gidravlicheskikh soprotivleniy ruslovykh potokov [Account for the Motion Forms of Sediment in Determining the Hydraulic Resistance of Channel Flows]. Gidrotekhnicheskoe stroitel’stvo [Hydrotechnical Construction]. 2005, no. 8, pp. 46—50. (In Russian)
- Sidorchuk A.Yu. Otsenka stoka vlekomykh nanosov v rechnom rusle s uchetom dannykh ob aktivnoy i passivnoy dinamike gryad [Runoff Assessment of Bed Loads in River Channel Based on the Data on the Active and Passive Dynamics of the Ridges]. Vodnye resursy [Water Resources]. 2015, vol. 42, no. 1, pp. 31—44. (In Russian)
- Allen J.R.L. River Bedforms: Progress and Problems. Modern and Ancient Fluvial Systems. Oxford, Blackwell Publishing Ltd., 2009, pp. 19—33. DOI: http://dx.doi.org/10.1002/9781444303773.ch2.
- Gaeuman D., Jacobson R.B. Field Assessment of Alternative Bed Load Transport Estimators. J. Hydraulic Eng. 2007, vol. 133, no. 12, pp. 1319—1328. DOI: http://dx.doi.org/10.1061/(ASCE)0733-9429(2007)133:12(1319).
- Verbitskiy V.S. Ob
- Rijn Van L.C. Sediment Transport Part III Bed Forms and Alluvial Roughness. J. Hydraul Eng. 1984, vol. 110, no. 12, pp. 1433—1454. DOI: http://dx.doi.org/10.1061/(ASCE)0733-9429(1984)110:12(1733).
- Bogardi J. Sediment Transport in Alluvial Streams. Budapest, Akademia Riado Publ., 1974, 826 p.
- Grishanin K.V. Gidravlicheskie soprotivleniya estestvennykh rusel [Hydraulic Resistances of Natural channels]. Leningrad, Gidrometeoizdat Publ., 1992, 184 p. (In Russian)
- Senturk F.A. Definition of Resistance Bed-Load in Streams. Proc. XII Congr. IAHR. Vol. 1. 1967, pp. 165—170.
- Yalin M.S. Mechanics of Sediment Transport. 2nd. ed. Oxford, New York, Pergamon Press, 1977, 290 p.
- Mazhidov T.Sh. Eksperimental’noe issledovanie vliyaniya sostava nanosov na kharakteristiki potoka i rusla [Experimental Study of the Effect of Sediment Composition on the Characteristics of Flow and Bed]. Trudy V Vsesoyuznogo gidrologicheskogo s”ezda [Proceedings of the 5th All-Union Hydrological Congress]. Vol. 10, book. 2. Leningrad, Gidrometeoizdat Publ., 1988, pp. 40—47. (In Russian)
- Rossinskiy K.I., Debol’skiy V.D. Rechnye nanosy [River Loads]. Moscow, Nauka Publ., 1980, 266 p. (In Russian)
- Volgina L.V. Statisticheskie kharakteristiki turbulentnosti [Statistical Characteristics of Turbulence]. Materialy IV nauchno-prakticheskoy konferentsii molodykh uchenykh, aspirantov i doktorantov [Proceedings of the 4th Science and Practice Conference of Young Scientists, Postgraduates and Doctoral Students]. Moscow, MGSU Publ., 2001, pp. 61—63. (In Russian)
- Goncharov V.N. Osnovy dinamiki ruslovykh potokov [Basics of the Dynamics of Channel Flows]. Leningrad, Gidrometeoizdat, 1954, 452 p. (In Russian)
- Mirtskhulava Ts.E. Razmyv rusel i metodika otsenki ikh ustoychivosti [Erosion of Channels and Methods of Evaluating Their Sustainability]. Moscow, Kolos Publ., 1967, 170 p. (In Russian)
- Korn G., Korn T. Spravochnik po matematike dlya nauchnykh rabotnikov i inzhenerov [Mathematical Handbook for Scientists and Engineers]. Moscow, Nauka Publ., 1973, 832 p. (In Russian)
- Goncharov V.N. Dvizhenie nanosov [Movement of Sediments]. Moscow, ONTI Publ., 1938, 312 p. (In Russian)
- Klaven A.B., Kopaliani Z.D. Eksperimental’nye issledovaniya i gidravlicheskoe modelirovanie rechnykh techeniy i ruslovogo protsessa [Experimental Studies and Hydraulic Modeling of River Flows and Channel Process]. Saint Petersburg, Nestor-Istoriya Publ., 2011, 543 p. (In Russian)
- Kogan L.D., Uglov V.P. Formy transporta i raskhod nanosov [Transportation Forms and Dascharge of Sediments]. Gidrofizicheskie protsessy v rekakh i vodokhranilishchakh [Hydrophysical Processes in Rivers and Reservoirs]. Moscow, Nauka Publ., 1985, pp. 131—137. (In Russian)
- Mikhaylova N.A. Perenos tverdykh chastits turbulentnymi potokami vody [Transfer of Solid Particles by Turbulent Flows of Water]. Leningrad, Gidrometeoizdat Publ., 1966, 232 p. (In Russian)
- Verbitskiy V.S., Khodzinskaya A.G. Uchet form dvizheniya nanosov pri opredelenii gidravlicheskikh soprotivleniy ruslovykh potokov [Account for the Motion Forms of Sediment in Determining the Hydraulic Resistance of Channel Flows]. Gidrotekhnicheskoe stroitel’stvo [Hydrotechnical Construction]. 2005, no. 8, pp. 46—50. (In Russian)
- Sidorchuk A.Yu. Otsenka stoka vlekomykh nanosov v rechnom rusle s uchetom dannykh ob aktivnoy i passivnoy dinamike gryad [Runoff Assessment of Bed Loads in River Channel Based on the Data on the Active and Passive Dynamics of the Ridges]. Vodnye resursy [Water Resources]. 2015, vol. 42, no. 1, pp. 31—44. (In Russian)
- Allen J.R.L. River Bedforms: Progress and Problems. Modern and Ancient Fluvial Systems. Oxford, Blackwell Publishing Ltd., 2009, pp. 19—33. DOI: http://dx.doi.org/10.1002/9781444303773.ch2.
- Gaeuman D., Jacobson R.B. Field Assessment of Alternative Bed Load Transport Estimators. J. Hydraulic Eng. 2007, vol. 133, no. 12, pp. 1319—1328. DOI: http://dx.doi.org/10.1061/(ASCE)0733-9429(2007)133:12(1319).
- Verbitskiy V.S. Obedinennoe opisanie gidravlicheskikh soprotivleniy otkrytykh potokov [United Description of Hydraulic Resistances in Open Flows]. Dinamika i termika rek, vodokhranilishch i pribrezhnoy zony morey : trudy VIII Mezhdunarodnoy nauchno-prakticheskoy konferentsii (24—27 noyabrya 2014 g., Moskva) [Dynamics and Cloud of Rivers, Reservoirs and Coastal Areas of the Seas. Proceedings of the 8th International Scientific and Practical Conference]. Moscow, RUDN Publ., 2014, vol. 2, pp. 38—53. (In Russian)
- Rijn Van L.C. Sediment Transport Part III Bed Forms and Alluvial Roughness. J. Hydraul Eng. 1984, vol. 110, no. 12, pp. 1433—1454. DOI: http://dx.doi.org/10.1061/(ASCE)0733-9429(1984)110:12(1733).
- Bogardi J. Sediment Transport in Alluvial Streams. Budapest, Akademia Riado Publ., 1974, 826 p.
- Grishanin K.V. Gidravlicheskie soprotivleniya estestvennykh rusel [Hydraulic Resistances of Natural channels]. Leningrad, Gidrometeoizdat Publ., 1992, 184 p. (In Russian)
- Senturk F.A. Definition of Resistance Bed-Load in Streams. Proc. XII Congr. IAHR. Vol. 1. 1967, pp. 165—170.
- Yalin M.S. Mechanics of Sediment Transport. 2nd. ed. Oxford, New York, Pergamon Press, 1977, 290 p.
- Mazhidov T.Sh. Eksperimental’noe issledovanie vliyaniya sostava nanosov na kharakteristiki potoka i rusla [Experimental Study of the Effect of Sediment Composition on the Characteristics of Flow and Bed]. Trudy V Vsesoyuznogo gidrologicheskogo s”ezda [Proceedings of the 5th All-Union Hydrological Congress]. Vol. 10, book. 2. Leningrad, Gidrometeoizdat Publ., 1988, pp. 40—47. (In Russian)
- Rossinskiy K.I., Debol’skiy V.D. Rechnye nanosy [River Loads]. Moscow, Nauka Publ., 1980, 266 p. (In Russian)
- Volgina L.V. Statisticheskie kharakteristiki turbulentnosti [Statistical Characteristics of Turbulence]. Materialy IV nauchno-prakticheskoy konferentsii molodykh uchenykh, aspirantov i doktorantov [Proceedings of the 4th Science and Practice Conference of Young Scientists, Postgraduates and Doctoral Students]. Moscow, MGSU Publ., 2001, pp. 61—63. (In Russian)
- Goncharov V.N. Osnovy dinamiki ruslovykh potokov [Basics of the Dynamics of Channel Flows]. Leningrad, Gidrometeoizdat, 1954, 452 p. (In Russian)
- Mirtskhulava Ts.E. Razmyv rusel i metodika otsenki ikh ustoychivosti [Erosion of Channels and Methods of Evaluating Their Sustainability]. Moscow, Kolos Publ., 1967, 170 p. (In Russian)
- Korn G., Korn T. Spravochnik po matematike dlya nauchnykh rabotnikov i inzhenerov [Mathematical Handbook for Scientists and Engineers]. Moscow, Nauka Publ., 1973, 832 p. (In Russian)
- Goncharov V.N. Dvizhenie nanosov [Movement of Sediments]. Moscow, ONTI Publ., 1938, 312 p. (In Russian)
- Klaven A.B., Kopaliani Z.D. Eksperimental’nye issledovaniya i gidravlicheskoe modelirovanie rechnykh techeniy i ruslovogo protsessa [Experimental Studies and Hydraulic Modeling of River Flows and Channel Process]. Saint Petersburg, Nestor-Istoriya Publ., 2011, 543 p. (In Russian)
- Kogan L.D., Uglov V.P. Formy transporta i raskhod nanosov [Transportation Forms and Dascharge of Sediments]. Gidrofizicheskie protsessy v rekakh i vodokhranilishchakh [Hydrophysical Processes in Rivers and Reservoirs]. Moscow, Nauka Publ., 1985, pp. 131—137. (In Russian)
- Mikhaylova N.A. Perenos tverdykh chastits turbulentnymi potokami vody [Transfer of Solid Particles by Turbulent Flows of Water]. Leningrad, Gidrometeoizdat Publ., 1966, 232 p. (In Russian)