RBF modeling of Incipient Motion of Plane Sand Bed Channels
To define or predict incipient motion in an alluvial
channel, most of the investigators use a standard or modified form of
Shields- diagram. Shields- diagram does give a process to determine
the incipient motion parameters but an iterative one. To design
properly (without iteration), one should have another equation for
resistance. Absence of a universal resistance equation also magnifies
the difficulties in defining the model. Neural network technique,
which is particularly useful in modeling a complex processes, is
presented as a tool complimentary to modeling incipient motion.
Present work develops a neural network model employing the RBF
network to predict the average velocity u and water depth y based on
the experimental data on incipient condition. Based on the model,
design curves have been presented for the field application.
[1] Shileds, "Anwendung der Ahnlichkeitsmechanik und
Turbulenzforschung auf Geschiebebewegung. Mitteilungen der preuss,"
Versuchsant. f. asserbau u. schiffbau, Heft 26, Berlin, 1936.
[2] J. Buffington and D. Montgomery, "A systematic analysis of eight
decades of incipient motion studies, with special reference to gravel bed
rivers,-- Water Resour. Res., 33 (8), 1993-2029, 1997.
[3] Kumar, "Finding Discharge at Incipient Motion in an Alluvial
Channels," ME Thesis, Department of Civil Engg. IISc, Bangalore,
2003.
[4] J.W. Lavelle and H.O. Mofjeld, "Do critical Stresses for Incipient
Motion and Erosion Really Exist?," Journal of Hydraulic Engg.,
ASCE,113,370-385, 1987.
[5] N.A. Marsh, Andrew W. Western and Rodger B. Grayson, "Comparison
of Methods for Predicting Incipient Motion for Sand Bends," J.
Hydraulic Engg. ASCE, 616-621, 2004.
[6] D. Taylor and V.A. Vanoni, 1972. "Temperature effects in lowtransport
flat bed flow," J. Hydr.. Div. ASCE, 98 (8), 1427-1445, 1972.
[7] T. Yang, "Unit stream power and sediment transport," J. Hydr. Div.,
ASCE, 98(10), 1805-1826, 1972.
[8] C. T. Yang, "Incipient motion and Sediment Transport," J. Hydr. Div.,
ASCE, 99(10), 1679-1704, 1973.
[9] J. P. C. Kleijnen, "Statistical Tools for Simulation Practitioners," New
York: Marcel Dekker, 1987.
[10] J. Sztipanovits, "Engineering of Computer-Based Systems: An Emerging
Discipline," Proceedings of the IEEE ECBSJ98 Conference, 1998.
[11] S. Lingireddy and L. E. Ormsbee, "Neural networks in optimal
calibration of water distribution systems," Artificial neural networks for
civil engineers: Advanced features and applications, I. Flood and N.
Kartam, eds., ASCE, Reston, Va., 53-76, 1998.
[12] L. Ma, X. Kunlun and L. Suiqing, "Using Radial Basis Function Neural
Networks to Calibrate Water Quality Model," International Journal of
Intelligent Systems and Technologies, 3, 2, 90-98, 2008.
[13] M. Aqil, I. Kita, A. Yano and N. Soichi, "Decision Support System for
Flood Crisis Management using Artificial Neural Network,"
International Journal of Intelligent Systems and Technologies, 1, 1, 70-
77, 2006.
[14] J. R. Kalagnanam and U. M. Diwekar, "An efficient sampling technique
for off-line quality control," Technometrics 39 (3), 308-319, 1997.
[15] M. Meckesheimer, A.J. Booker, R.R. Barton and T.W. Simpson,
"Computationally inexpensive metamodel assessment strategies," AIAA
J., 40(10): 2053-2060, 2002.
[16] M. Johnson and L. L. Rogers, "Accuracy of neural network
approximators in simulation-optimization," J. Water Resour. Plan.
Manage. 126(2), 48-56, 2000.
[17] R. S. Govindaraju, "Artificial Neural Networks in Hydrology," Kluver
Academic Publishers, 2000.
[18] D. Caama├▒o, P. Goodwin and M. Manic, "Derivation of a bed load
sediment transport formula using artificial neural networks," 7th
international conference on hydro informatics, Nice, France, 2006
[19] S. M. Yalin, "Mechanics of Sediment Transport," Pergamon: Tarrytown,
NY., 1976.
[20] R. K. Rao, "A Digital Micro manometer for Very Low Pressure
Measurement," Journal of the Instrument Society of India, 35, 1, 54-64,
2005.
[21] K. Ashida and M. Bayazit, "Initiation of motion and roughness of flows
in steep channels," 15th Congress, IAHR Conference, Istanbul, 1973.
[22] P. A. Mantz, "Incipient transport of fine grains and flakes by fluids -
Extended Shields- diagram", J. Hydr. Div., ASCE, 103(6), 601-614,
1977.
[23] R. K. Rao and N. Sitaram, "Stability and Mobility of Sand-Bed Channels
Affected by Seepage," J. Irri and Drainage, ASCE, 125 (16), 370-379,
1999.
[24] S. M. Yalin and E. Karahan, "Inception of Sediment Transport," J. Hydr.
Div., ASCE, 105 (11), 1979.
[25] V. A. Vanoni, "Measurement of Critical Shear Stress for Entraining Fine
Sediments in a Boundary Layer," Report No. KH-R-7, California
Institute of Technology, 1964.
[26] A.R.K. Rao and G. Sreenivasulu, "Design of Plane Sediment Bed
Channels at Critical Condition," ISH Journal of Hydraulic Engineering,
12, 94-117, 2006.
[27] V. Ramana Prasad, "Velocity, Shear and Friction factor studies in rough
rectangular open channels for super critical flow," Ph.D. thesis, Indian
Institute of Science, Bangalore, 1991.
[28] S. Haykin, "Neural networks: a comprehensive foundation," Macmillan,
New York, 1994.
[29] F. M. Ham and I. Kostanic, "Principles of Neurocomputing for Science
and Engineering," McGraw-Hill India, 2001.
[30] Feng and Y. Liu, "Status quo and Problems in neural networks control,"
Control theory and applications (China) 11(1), 103-106, 1994.
[31] Z. Bian, "Pattern recognition," Tsinghua University Press: Beijing,
China, 1988.
[32] MATLAB® Version 7 The mathworks.com
[1] Shileds, "Anwendung der Ahnlichkeitsmechanik und
Turbulenzforschung auf Geschiebebewegung. Mitteilungen der preuss,"
Versuchsant. f. asserbau u. schiffbau, Heft 26, Berlin, 1936.
[2] J. Buffington and D. Montgomery, "A systematic analysis of eight
decades of incipient motion studies, with special reference to gravel bed
rivers,-- Water Resour. Res., 33 (8), 1993-2029, 1997.
[3] Kumar, "Finding Discharge at Incipient Motion in an Alluvial
Channels," ME Thesis, Department of Civil Engg. IISc, Bangalore,
2003.
[4] J.W. Lavelle and H.O. Mofjeld, "Do critical Stresses for Incipient
Motion and Erosion Really Exist?," Journal of Hydraulic Engg.,
ASCE,113,370-385, 1987.
[5] N.A. Marsh, Andrew W. Western and Rodger B. Grayson, "Comparison
of Methods for Predicting Incipient Motion for Sand Bends," J.
Hydraulic Engg. ASCE, 616-621, 2004.
[6] D. Taylor and V.A. Vanoni, 1972. "Temperature effects in lowtransport
flat bed flow," J. Hydr.. Div. ASCE, 98 (8), 1427-1445, 1972.
[7] T. Yang, "Unit stream power and sediment transport," J. Hydr. Div.,
ASCE, 98(10), 1805-1826, 1972.
[8] C. T. Yang, "Incipient motion and Sediment Transport," J. Hydr. Div.,
ASCE, 99(10), 1679-1704, 1973.
[9] J. P. C. Kleijnen, "Statistical Tools for Simulation Practitioners," New
York: Marcel Dekker, 1987.
[10] J. Sztipanovits, "Engineering of Computer-Based Systems: An Emerging
Discipline," Proceedings of the IEEE ECBSJ98 Conference, 1998.
[11] S. Lingireddy and L. E. Ormsbee, "Neural networks in optimal
calibration of water distribution systems," Artificial neural networks for
civil engineers: Advanced features and applications, I. Flood and N.
Kartam, eds., ASCE, Reston, Va., 53-76, 1998.
[12] L. Ma, X. Kunlun and L. Suiqing, "Using Radial Basis Function Neural
Networks to Calibrate Water Quality Model," International Journal of
Intelligent Systems and Technologies, 3, 2, 90-98, 2008.
[13] M. Aqil, I. Kita, A. Yano and N. Soichi, "Decision Support System for
Flood Crisis Management using Artificial Neural Network,"
International Journal of Intelligent Systems and Technologies, 1, 1, 70-
77, 2006.
[14] J. R. Kalagnanam and U. M. Diwekar, "An efficient sampling technique
for off-line quality control," Technometrics 39 (3), 308-319, 1997.
[15] M. Meckesheimer, A.J. Booker, R.R. Barton and T.W. Simpson,
"Computationally inexpensive metamodel assessment strategies," AIAA
J., 40(10): 2053-2060, 2002.
[16] M. Johnson and L. L. Rogers, "Accuracy of neural network
approximators in simulation-optimization," J. Water Resour. Plan.
Manage. 126(2), 48-56, 2000.
[17] R. S. Govindaraju, "Artificial Neural Networks in Hydrology," Kluver
Academic Publishers, 2000.
[18] D. Caama├▒o, P. Goodwin and M. Manic, "Derivation of a bed load
sediment transport formula using artificial neural networks," 7th
international conference on hydro informatics, Nice, France, 2006
[19] S. M. Yalin, "Mechanics of Sediment Transport," Pergamon: Tarrytown,
NY., 1976.
[20] R. K. Rao, "A Digital Micro manometer for Very Low Pressure
Measurement," Journal of the Instrument Society of India, 35, 1, 54-64,
2005.
[21] K. Ashida and M. Bayazit, "Initiation of motion and roughness of flows
in steep channels," 15th Congress, IAHR Conference, Istanbul, 1973.
[22] P. A. Mantz, "Incipient transport of fine grains and flakes by fluids -
Extended Shields- diagram", J. Hydr. Div., ASCE, 103(6), 601-614,
1977.
[23] R. K. Rao and N. Sitaram, "Stability and Mobility of Sand-Bed Channels
Affected by Seepage," J. Irri and Drainage, ASCE, 125 (16), 370-379,
1999.
[24] S. M. Yalin and E. Karahan, "Inception of Sediment Transport," J. Hydr.
Div., ASCE, 105 (11), 1979.
[25] V. A. Vanoni, "Measurement of Critical Shear Stress for Entraining Fine
Sediments in a Boundary Layer," Report No. KH-R-7, California
Institute of Technology, 1964.
[26] A.R.K. Rao and G. Sreenivasulu, "Design of Plane Sediment Bed
Channels at Critical Condition," ISH Journal of Hydraulic Engineering,
12, 94-117, 2006.
[27] V. Ramana Prasad, "Velocity, Shear and Friction factor studies in rough
rectangular open channels for super critical flow," Ph.D. thesis, Indian
Institute of Science, Bangalore, 1991.
[28] S. Haykin, "Neural networks: a comprehensive foundation," Macmillan,
New York, 1994.
[29] F. M. Ham and I. Kostanic, "Principles of Neurocomputing for Science
and Engineering," McGraw-Hill India, 2001.
[30] Feng and Y. Liu, "Status quo and Problems in neural networks control,"
Control theory and applications (China) 11(1), 103-106, 1994.
[31] Z. Bian, "Pattern recognition," Tsinghua University Press: Beijing,
China, 1988.
[32] MATLAB® Version 7 The mathworks.com
@article{"International Journal of Information, Control and Computer Sciences:60462", author = "Gopu Sreenivasulu and Bimlesh Kumar and Achanta Ramakrishna Rao", title = "RBF modeling of Incipient Motion of Plane Sand Bed Channels", abstract = "To define or predict incipient motion in an alluvial
channel, most of the investigators use a standard or modified form of
Shields- diagram. Shields- diagram does give a process to determine
the incipient motion parameters but an iterative one. To design
properly (without iteration), one should have another equation for
resistance. Absence of a universal resistance equation also magnifies
the difficulties in defining the model. Neural network technique,
which is particularly useful in modeling a complex processes, is
presented as a tool complimentary to modeling incipient motion.
Present work develops a neural network model employing the RBF
network to predict the average velocity u and water depth y based on
the experimental data on incipient condition. Based on the model,
design curves have been presented for the field application.", keywords = "Incipient motion, Prediction error, Radial-Basisfunction, Sediment transport, Shields' diagram.", volume = "2", number = "8", pages = "2796-6", }
