Distributary Channel Networks as Moving Boundaries: Causes and Morphodynamic Effects
Abstract
In this study, we propose an exploratory model to describe the morphodynamics of distributary channel network growth on river deltas. The interface between deep channels and the shallow, unchannelized delta front deposits is modeled as a moving boundary. Steady flow over the unchannelized delta front is friction dominated and modeled by Laplace's equation. Shear stress along the network boundary produces nonlinear erosion rates at the interface, causing the boundary to move and network elements (channels and branches) to form. The model was run for boundary conditions resembling the Wax Lake Delta in coastal Louisiana, 20 parameterizations of sediment transport, and 3 parameterizations of discharge. In each case, the model produced a complex channel network with channel number, width, bifurcation angle, and channel shape depending on the sediment transport formula. For reasonable sediment transport parameters and gradually increasing water discharge, the model produced network characteristics and progradation rates similar to theWax Lake Delta. Lastly, this suggests that the model contains the processes responsible for network growth, despite its abstract formulation.
- Authors:
-
[1];
[1];
[2];
[1]
- Univ. of Arkansas, Fayetteville, AR (United States)
- Univ. of Arkansas, Fayetteville, AR (United States); Univ. of New Orleans, LA (United States)
- Publication Date:
- Research Org.:
- Univ. of Arkansas, Fayetteville, AR (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1598314
- Alternate Identifier(s):
- OSTI ID: 1543066
- Grant/Contract Number:
- SC0016163; EAR‐1246761
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of Geophysical Research. Earth Surface
- Additional Journal Information:
- Journal Volume: 124; Journal Issue: 7; Journal ID: ISSN 2169-9003
- Publisher:
- American Geophysical Union
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 58 GEOSCIENCES; river delta; morphodynamics; moving boundary; Laplace's equation
Citation Formats
Ke, Wun‐Tao, Shaw, John B., Mahon, Robert C., and Cathcart, Christopher A. Distributary Channel Networks as Moving Boundaries: Causes and Morphodynamic Effects. United States: N. p., 2019.
Web. doi:10.1029/2019JF005084.
Ke, Wun‐Tao, Shaw, John B., Mahon, Robert C., & Cathcart, Christopher A. Distributary Channel Networks as Moving Boundaries: Causes and Morphodynamic Effects. United States. https://doi.org/10.1029/2019JF005084
Ke, Wun‐Tao, Shaw, John B., Mahon, Robert C., and Cathcart, Christopher A. Sat .
"Distributary Channel Networks as Moving Boundaries: Causes and Morphodynamic Effects". United States. https://doi.org/10.1029/2019JF005084. https://www.osti.gov/servlets/purl/1598314.
@article{osti_1598314,
title = {Distributary Channel Networks as Moving Boundaries: Causes and Morphodynamic Effects},
author = {Ke, Wun‐Tao and Shaw, John B. and Mahon, Robert C. and Cathcart, Christopher A.},
abstractNote = {In this study, we propose an exploratory model to describe the morphodynamics of distributary channel network growth on river deltas. The interface between deep channels and the shallow, unchannelized delta front deposits is modeled as a moving boundary. Steady flow over the unchannelized delta front is friction dominated and modeled by Laplace's equation. Shear stress along the network boundary produces nonlinear erosion rates at the interface, causing the boundary to move and network elements (channels and branches) to form. The model was run for boundary conditions resembling the Wax Lake Delta in coastal Louisiana, 20 parameterizations of sediment transport, and 3 parameterizations of discharge. In each case, the model produced a complex channel network with channel number, width, bifurcation angle, and channel shape depending on the sediment transport formula. For reasonable sediment transport parameters and gradually increasing water discharge, the model produced network characteristics and progradation rates similar to theWax Lake Delta. Lastly, this suggests that the model contains the processes responsible for network growth, despite its abstract formulation.},
doi = {10.1029/2019JF005084},
journal = {Journal of Geophysical Research. Earth Surface},
number = 7,
volume = 124,
place = {United States},
year = {2019},
month = {6}
}
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Works referenced in this record:
Spontaneous Branching of Anode-Directed Streamers between Planar Electrodes
journal, April 2002
- Arrayás, Manuel; Ebert, Ute; Hundsdorfer, Willem
- Physical Review Letters, Vol. 88, Issue 17
Recognition and significance of bayhead delta deposits in the rock record: A comparison of modern and ancient systems
journal, October 2017
- Aschoff, Jennifer L.; Olariu, Cornel; Steel, Ronald J.
- Sedimentology, Vol. 65, Issue 1
Island Edge Morphodynamics along a Chronosequence in a Prograding Deltaic Floodplain Wetland
journal, July 2018
- Bevington, Azure E.; Twilley, Robert R.
- Journal of Coastal Research, Vol. 344
Grain-Size Controls On the Morphology and Internal Geometry of River-Dominated Deltas
journal, June 2015
- Burpee, Alexander P.; Slingerland, Rudy L.; Edmonds, Douglas A.
- Journal of Sedimentary Research, Vol. 85, Issue 6
Sediment infilling and wetland formation dynamics in an active crevasse splay of the Mississippi River delta
journal, August 2011
- Cahoon, Donald R.; White, David A.; Lynch, James C.
- Geomorphology, Vol. 131, Issue 3-4
The effects of sediment properties on deltaic processes and morphologies: A numerical modeling study
journal, May 2014
- Caldwell, Rebecca L.; Edmonds, Douglas A.
- Journal of Geophysical Research: Earth Surface, Vol. 119, Issue 5
Importance of frictional effects and jet instability on the morphodynamics of river mouth bars and levees: FRICTION AND JET INSTABILITY
journal, January 2014
- Canestrelli, Alberto; Nardin, William; Edmonds, Douglas
- Journal of Geophysical Research: Oceans, Vol. 119, Issue 1
Anatomy of Mississippi Delta growth and its implications for coastal restoration
journal, April 2018
- Chamberlain, Elizabeth L.; Törnqvist, Torbjörn E.; Shen, Zhixiong
- Science Advances, Vol. 4, Issue 4
Congruent Bifurcation Angles in River Delta and Tributary Channel Networks
journal, November 2017
- Coffey, Thomas S.; Shaw, John B.
- Geophysical Research Letters, Vol. 44, Issue 22
Spontaneous tidal network formation within a constructed salt marsh: Observations and morphodynamic modelling
journal, November 2007
- D'Alpaos, Andrea; Lanzoni, Stefano; Marani, Marco
- Geomorphology, Vol. 91, Issue 3-4
Tidal network ontogeny: Channel initiation and early development
journal, January 2005
- D'Alpaos, Andrea
- Journal of Geophysical Research, Vol. 110, Issue F2
Ramification of stream networks
journal, December 2012
- Devauchelle, O.; Petroff, A. P.; Seybold, H. F.
- Proceedings of the National Academy of Sciences, Vol. 109, Issue 51
Laplacian networks: Growth, local symmetry, and shape optimization
journal, March 2017
- Devauchelle, O.; Szymczak, P.; Pecelerowicz, M.
- Physical Review E, Vol. 95, Issue 3
Long-term model of planimetric and bathymetric evolution of a tidal lagoon
journal, May 2010
- Di Silvio, Giampaolo; Dall’Angelo, Chiara; Bonaldo, Davide
- Continental Shelf Research, Vol. 30, Issue 8
Predicting delta avulsions: Implications for coastal wetland restoration
journal, July 2009
- Edmonds, D. A.; Hoyal, D. C. J. D.; Sheets, B. A.
- Geology, Vol. 37, Issue 8
Topset-dominated deltas: A new model for river delta stratigraphy
journal, December 2011
- Edmonds, Douglas A.; Shaw, John B.; Mohrig, David
- Geology, Vol. 39, Issue 12
Mechanics of river mouth bar formation: Implications for the morphodynamics of delta distributary networks
journal, January 2007
- Edmonds, D. A.; Slingerland, R. L.
- Journal of Geophysical Research, Vol. 112, Issue F2
Significant effect of sediment cohesion on delta morphology
journal, December 2009
- Edmonds, Douglas A.; Slingerland, Rudy L.
- Nature Geoscience, Vol. 3, Issue 2
Self-organization of tidal deltas
journal, November 2008
- Fagherazzi, S.
- Proceedings of the National Academy of Sciences, Vol. 105, Issue 48
Dynamics of river mouth deposits: DYNAMICS OF RIVER MOUTH DEPOSITS
journal, July 2015
- Fagherazzi, Sergio; Edmonds, Douglas A.; Nardin, William
- Reviews of Geophysics, Vol. 53, Issue 3
A stochastic model for the formation of channel networks in tidal marshes: CHANNEL NETWORKS IN SALT MARSHES
journal, November 2004
- Fagherazzi, Sergio; Sun, Tao
- Geophysical Research Letters, Vol. 31, Issue 21
A potential vorticity theory for the formation of elongate channels in river deltas and lakes
journal, January 2010
- Falcini, Federico; Jerolmack, Douglas J.
- Journal of Geophysical Research, Vol. 115, Issue F4
Friction- and Inertia-Dominated Effluents In A Lacustrine, River-Dominated Deltaic Succession (Pliocene Upper Valdarno Basin, Italy)
journal, September 2016
- Fidolini, Francesco; Ghinassi, Massimiliano
- Journal of Sedimentary Research, Vol. 86, Issue 9
Hydrological connectivity in river deltas: The first‐order importance of channel‐island exchange
journal, April 2015
- Hiatt, Matthew; Passalacqua, Paola
- Water Resources Research, Vol. 51, Issue 4
What Controls the Transition from Confined to Unconfined Flow? Analysis of Hydraulics in a Coastal River Delta
journal, June 2017
- Hiatt, Matthew; Passalacqua, Paola
- Journal of Hydraulic Engineering, Vol. 143, Issue 6
Morphodynamic evolution of experimental cohesive deltas
journal, January 2009
- Hoyal, D. C. J. D.; Sheets, B. A.
- Journal of Geophysical Research, Vol. 114, Issue F2
Inception of channelization and drainage basin formation: upstream-driven theory
journal, January 1995
- Izumi, Norihiro; Parker, Gary
- Journal of Fluid Mechanics, Vol. 283
Extrinsic and intrinsic controls on mouth bar and mouth bar complex architecture: Examples from the Pennsylvanian (Upper Carboniferous) of the central Appalachian Basin, Kentucky, USA
journal, May 2016
- Jerrett, Rhodri M.; Bennie, Laura I.; Flint, Stephen S.
- Geological Society of America Bulletin, Vol. 128, Issue 11-12
Theory for the curvature dependence of delta front progradation: THEORY FOR DELTA PROGRADATION
journal, December 2015
- Ke, Wun-Tao; Capart, Hervé
- Geophysical Research Letters, Vol. 42, Issue 24
Delta progradation driven by an advancing sediment source: Coupled theory and experiment describing the evolution of elongated deltas: DELTA PROGRADATION BY AN ADVANCING SEDIMENT SOURCE
journal, June 2009
- Kim, Wonsuck; Dai, Albert; Muto, Tetsuji
- Water Resources Research, Vol. 45, Issue 6
On the tip-splitting instability of viscous fingers
journal, September 2000
- Lajeunesse, E.; Couder, Y.
- Journal of Fluid Mechanics, Vol. 419
Appropriate complexity landscape modeling
journal, September 2016
- Larsen, Laurel G.; Eppinga, Maarten B.; Passalacqua, Paola
- Earth-Science Reviews, Vol. 160
A similarity solution for a dual moving boundary problem associated with a coastal-plain depositional system
journal, June 2009
- Lorenzo-Trueba, Jorge; Voller, Vaughan R.; Muto, Tetsuji
- Journal of Fluid Mechanics, Vol. 628
On the drainage density of tidal networks: DRAINAGE DENSITY OF TIDAL NETWORKS
journal, February 2003
- Marani, Marco; Belluco, Enrica; D'Alpaos, Andrea
- Water Resources Research, Vol. 39, Issue 2
A 2D Tide-Averaged Model for the Long-Term Evolution of an Idealized Tidal Basin-Inlet-Delta System
journal, December 2018
- Mariotti, Giulio; Murshid, Shamim
- Journal of Marine Science and Engineering, Vol. 6, Issue 4
Reducing model complexity for explanation and prediction
journal, October 2007
- Murray, A. Brad
- Geomorphology, Vol. 90, Issue 3-4
Terminal Distributary Channels and Delta Front Architecture of River-Dominated Delta Systems
journal, February 2006
- Olariu, C.; Bhattacharya, J. P.
- Journal of Sedimentary Research, Vol. 76, Issue 2
Defining the ecogeomorphic succession of land building for freshwater, intertidal wetlands in Wax Lake Delta, Louisiana
journal, September 2017
- Olliver, Elizabeth A.; Edmonds, Douglas A.
- Estuarine, Coastal and Shelf Science, Vol. 196
Variability of deltaic processes in terms of sediment supply, with particular emphasis on grain size
journal, June 1993
- Orton, G. J.; Reading, H. G.
- Sedimentology, Vol. 40, Issue 3
Natural Processes in Delta Restoration: Application to the Mississippi Delta
journal, January 2011
- Paola, Chris; Twilley, Robert R.; Edmonds, Douglas A.
- Annual Review of Marine Science, Vol. 3, Issue 1
Self-formed straight rivers with equilibrium banks and mobile bed. Part 1. The sand-silt river
journal, November 1978
- Parker, Gary
- Journal of Fluid Mechanics, Vol. 89, Issue 1
Stabilizing effect of tip splitting on the interface motion
journal, December 2016
- Pecelerowicz, Michal; Szymczak, Piotr
- Physical Review E, Vol. 94, Issue 6
Controls on the spacing of first-order valleys
journal, January 2008
- Perron, J. Taylor; Dietrich, William E.; Kirchner, James W.
- Journal of Geophysical Research, Vol. 113, Issue F4
Formation of evenly spaced ridges and valleys
journal, July 2009
- Perron, J. Taylor; Kirchner, James W.; Dietrich, William E.
- Nature, Vol. 460, Issue 7254
Bifurcation dynamics of natural drainage networks
journal, December 2013
- Petroff, Alexander P.; Devauchelle, Olivier; Seybold, Hansjörg
- Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 371, Issue 2004
Fractal dimension and unscreened angles measured for radial viscous fingering
journal, July 2005
- Praud, Olivier; Swinney, Harry L.
- Physical Review E, Vol. 72, Issue 1
Experimental alluvial fan evolution: Channel dynamics, slope controls, and shoreline growth: EXPERIMENTAL ALLUVIAL FAN EVOLUTION
journal, May 2012
- Reitz, Meredith D.; Jerolmack, Douglas J.
- Journal of Geophysical Research: Earth Surface, Vol. 117, Issue F2
Tidal networks: 2. Watershed delineation and comparative network morphology
journal, December 1999
- Rinaldo, Andrea; Fagherazzi, Sergio; Lanzoni, Stefano
- Water Resources Research, Vol. 35, Issue 12
Floods and Cold Front Passages: Impacts on Coastal Marshes in a River Diversion Setting (Wax Lake Delta Area, Louisiana)
journal, September 2015
- Roberts, Harry H.; DeLaune, Ronald D.; White, John R.
- Journal of Coastal Research, Vol. 315
Morphodynamics of subaqueous levee formation: Insights into river mouth morphologies arising from experiments
journal, January 2010
- Rowland, Joel C.; Dietrich, William E.; Stacey, Mark T.
- Journal of Geophysical Research, Vol. 115, Issue F4
Branching geometry of valley networks on Mars and Earth and its implications for early Martian climate
journal, June 2018
- Seybold, Hansjoerg J.; Kite, Edwin; Kirchner, James W.
- Science Advances, Vol. 4, Issue 6
Climate's watermark in the geometry of stream networks
journal, March 2017
- Seybold, Hansjörg; Rothman, Daniel H.; Kirchner, James W.
- Geophysical Research Letters, Vol. 44, Issue 5
Airborne radar imaging of subaqueous channel evolution in Wax Lake Delta, Louisiana, USA
journal, May 2016
- Shaw, John B.; Ayoub, Francois; Jones, Cathleen E.
- Geophysical Research Letters, Vol. 43, Issue 10
Island Formation Resulting From Radially Symmetric Flow Expansion
journal, February 2018
- Shaw, John B.; Miller, Kimberly; McElroy, Brandon
- Journal of Geophysical Research: Earth Surface, Vol. 123, Issue 2
The importance of erosion in distributary channel network growth, Wax Lake Delta, Louisiana, USA
journal, November 2013
- Shaw, J. B.; Mohrig, D.
- Geology, Vol. 42, Issue 1
Flow patterns and morphology of a prograding river delta: DELTA FLOW PATTERNS
journal, February 2016
- Shaw, John B.; Mohrig, David; Wagner, R. Wayne
- Journal of Geophysical Research: Earth Surface, Vol. 121, Issue 2
The morphology and evolution of channels on the Wax Lake Delta, Louisiana, USA: WAX LAKE DELTA CHANNEL MORPHOLOGY
journal, August 2013
- Shaw, John B.; Mohrig, David; Whitman, Spencer K.
- Journal of Geophysical Research: Earth Surface, Vol. 118, Issue 3
Large-scale flow structures and stability in shallow flows
journal, September 2004
- Socolofsky, Scott A.; Jirka, Gerhard H.
- Journal of Environmental Engineering and Science, Vol. 3, Issue 5
Fluvio-deltaic sedimentation: A generalized Stefan problem
journal, October 2000
- Swenson, J. B.; Voller, V. R.; Paola, C.
- European Journal of Applied Mathematics, Vol. 11, Issue 5
Hillslope processes, drainage density, and landscape morphology
journal, October 1998
- Tucker, Gregory E.; Bras, Rafael L.
- Water Resources Research, Vol. 34, Issue 10
An approximate solution to the flow field on vegetated intertidal platforms: Applicability and limitations
journal, August 2014
- Van Oyen, T.; Carniello, L.; D'Alpaos, A.
- Journal of Geophysical Research: Earth Surface, Vol. 119, Issue 8
A simplified model for frictionally dominated tidal flows: TIDAL FLOWS IN WETLANDS-A SIMPLE MODEL
journal, June 2012
- Van Oyen, T.; Lanzoni, S.; D'Alpaos, A.
- Geophysical Research Letters, Vol. 39, Issue 12
An enthalpy method for modeling dendritic growth in a binary alloy
journal, February 2008
- Voller, V. R.
- International Journal of Heat and Mass Transfer, Vol. 51, Issue 3-4
A unifying framework for shoreline migration: 1. Multiscale shoreline evolution on sedimentary coasts
journal, January 2009
- Wolinsky, Matthew A.
- Journal of Geophysical Research, Vol. 114, Issue F1
Reanalysis and Correction of Bed-Load Relation of Meyer-Peter and Müller Using Their Own Database
journal, November 2006
- Wong, Miguel; Parker, Gary
- Journal of Hydraulic Engineering, Vol. 132, Issue 11
Sediment transport and deposition at river mouths: A synthesis
journal, January 1977
- Wright, L. D.
- Geological Society of America Bulletin, Vol. 88, Issue 6
New insights into seismic stratigraphy of shallow-water progradational sequences: Subseismic clinoforms
journal, August 2013
- Zeng, Hongliu; Zhu, Xiaomin; Zhu, Rukai
- Interpretation, Vol. 1, Issue 1
Sedimentary characteristics and pattern of distributary channels in shallow water deltaic red bed succession: A case from the Late Cretaceous Yaojia formation, southern Songliao Basin, NE China
journal, December 2018
- Zhang, Li; Bao, Zhidong; Dou, Luxing
- Journal of Petroleum Science and Engineering, Vol. 171
On the Lorentz linearization of a quadratically damped forced oscillator
journal, May 1982
- Zimmerman, J. T. F.
- Physics Letters A, Vol. 89, Issue 3
Branching geometry of valley networks on Mars and Earth and its implications for early Martian climate
text, January 2018
- Seybold, Hansjörg J.; Kite, Edwin; Kirchner, James W.
- ETH Zurich
Measuring subaqueous progradation of the Wax Lake Delta with a model of flow direction divergence
journal, January 2018
- Shaw, John B.; Estep, Justin D.; Whaling, Amanda R.
- Earth Surface Dynamics, Vol. 6, Issue 4
Stabilizing effect of tip splitting on the interface motion
text, January 2016
- Pecelerowicz, Michal; Szymczak, Piotr
- arXiv
Laplacian networks: growth, local symmetry and shape optimization
text, January 2017
- Devauchelle, O.; Szymczak, P.; Pecelerowicz, M.
- arXiv
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