The Sediment Budget Estimator (SBE): a process-model for the stochastic estimation of fluxes and budgets of sediment through submarine channel systems.

Turbidity currents transport vast amounts of sediment through submarine channels onto deep-marine basin-floor fans. There is a lack of quantitative tools for the reconstruction of the sediment budget of these systems. The aim of this paper is to construct a simple and user-friendly model that can estimate turbidity-current structure and sediment budget based on observable submarine-channel dimensions and general characteristics of the system of interest. The requirements for the model were defined in the spirit of the source-to-sink perspective of sediment volume modeling: a simple, quantitative model that reflects natural variability and can be applied to ancient systems with sparse data availability. The model uses the input conditions to parameterize analytical formulations for the velocity and concentration profiles of turbidity currents. Channel cross section and temporal punctuation of turbidity-current activity in the channel are used to estimate sediment flux and sediment budget. The inherent uncertainties of geological sediment-budget estimates motivate a stochastic approach, which results in histograms of sediment-budget estimations, rather than discrete values. The model is validated against small-scale experimental turbidity currents and the 1929 Grand Banks turbidity current. The model performs within acceptable margins of error for sediment-flux predictions at these smallest and largest scales of turbidity currents possible on Earth. Finally, the model is applied to reconstruct the sediment budget related to Cretaceous slope-channel deposits (Tres Pasos Formation, Chile). The results give insight into the likely highly stratified concentration profile and the flow velocity of the Cretaceous turbidity currents that formed the deposits. They also yield estimates of the typical volume of sediment transported through the channels while they were active. These volumes are demonstrated to vary greatly depending on the geologic interpretation of the relation between observable deposit geometries and the dimensions of the flows that formed them. Finally, the shape of the probability density functions of predicted sediment budgets is shown to depend on the geological (un)certainty ranges. Correct geological interpretations of deep marine deposits are therefore indispensable for quantifications of sediment budgets in deep marine systems.

[1]  D. Parsons,et al.  Fill, flush or shuffle: How is sediment carried through submarine channels to build lobes? , 2022, Earth and Planetary Science Letters.

[2]  A. Fildani,et al.  The stratigraphic evolution of a submarine channel: linking seafloor dynamics to depositional products , 2020, Journal of Sedimentary Research.

[3]  D. Parsons,et al.  Direct evidence of a high-concentration basal layer in a submarine turbidity current , 2020, Deep Sea Research Part I: Oceanographic Research Papers.

[4]  O. Falivene,et al.  Quantifying sand delivery to deep water during changing sea‐level: Numerical models from the Quaternary Brazos Icehouse continental margin , 2020, Basin Research.

[5]  D. Parsons,et al.  Earth and Planetary Science Letters What determines the downstream evolution of turbidity currents? , 2022 .

[6]  J. Leeuw,et al.  Turbulent diffusion modelling of sediment in turbidity currents: An experimental validation of the Rouse approach , 2019, The Depositional Record.

[7]  J. de Leeuw,et al.  The influence of a slope break on turbidite deposits: An experimental investigation , 2019, Marine Geology.

[8]  R. Enkin,et al.  How turbidity current frequency and character varies down a fjord‐delta system: Combining direct monitoring, deposits and seismic data , 2019, Sedimentology.

[9]  B. Romans,et al.  Volume and recurrence of submarine‐fan‐building turbidity currents , 2018 .

[10]  R. Steel,et al.  Can sediment supply variations create sequences? Insights from stratigraphic forward modelling , 2018, Basin Research.

[11]  D. Caress,et al.  Powerful turbidity currents driven by dense basal layers , 2018, Nature Communications.

[12]  S. Patruno,et al.  Clinoforms and clinoform systems: Review and dynamic classification scheme for shorelines, subaqueous deltas, shelf edges and continental margins , 2018, Earth-Science Reviews.

[13]  J. de Leeuw,et al.  Sediment Volume and Grain-Size Partitioning Between Submarine Channel−Levee Systems and Lobes: An Experimental Study , 2018, Journal of Sedimentary Research.

[14]  S. Krastel,et al.  Reconstructing the sediment concentration of a giant submarine gravity flow , 2018, Nature Communications.

[15]  Sophie Cullis,et al.  Hierarchical classifications of the sedimentary architecture of deep-marine depositional systems , 2018 .

[16]  J. Leeuw,et al.  Linking submarine channel–levee facies and architecture to flow structure of turbidity currents: insights from flume tank experiments , 2018 .

[17]  S. Graham,et al.  Evolution of submarine gullies on a prograding slope: Insights from 3D seismic reflection data , 2017 .

[18]  Daniel R. Parsons,et al.  Newly recognized turbidity current structure can explain prolonged flushing of submarine canyons , 2017, Science Advances.

[19]  P. Hamilton,et al.  Linking Hydraulic Properties In Supercritical Submarine Distributary Channels To Depositional-Lobe Geometry , 2017 .

[20]  J. Eggenhuisen,et al.  The stratigraphic record and processes of turbidity current transformation across deep‐marine lobes , 2017 .

[21]  J. Bhattacharya,et al.  Source-To-Sink Sediment Budget Analysis of the Cretaceous Ferron Sandstone, Utah, U.S.A., Using the Fulcrum Approach , 2017 .

[22]  Z. Sylvester,et al.  Sediment partitioning, continental slopes and base‐of‐slope systems , 2017 .

[23]  Lionel Carter,et al.  Damaging sediment density flows triggered by tropical cyclones , 2017 .

[24]  J. Bhattacharya,et al.  Estimation of Source-To-Sink Mass Balance By A Fulcrum Approach Using Channel Paleohydrologic Parameters of the Cretaceous Dunvegan Formation, Canada , 2017 .

[25]  B. Romans,et al.  Using sea-floor morphometrics to constrain stratigraphic models of sinuous submarine channel systems , 2016 .

[26]  P. Talling,et al.  Preconditioning and triggering of offshore slope failures and turbidity currents revealed by most detailed monitoring yet at a fjord-head delta , 2016 .

[27]  I. Lunt,et al.  Deciphering Earth's Natural Hourglasses: Perspectives On Source-To-Sink Analysis , 2016 .

[28]  J. Eggenhuisen,et al.  Physical theory for near-bed turbulent particle-suspension capacity , 2016 .

[29]  J. H. Hughes Clarke.  First wide-angle view of channelized turbidity currents links migrating cyclic steps to flow characteristics , 2016, Nature Communications.

[30]  J. de Leeuw,et al.  Morphodynamics of submarine channel inception revealed by new experimental approach , 2016, Nature Communications.

[31]  Janok P. Bhattacharya,et al.  Estimation of source area, river paleo-discharge, paleoslope, and sediment budgets of linked deep-time depositional systems and implications for hydrocarbon potential , 2016 .

[32]  J. Walsh,et al.  Source-to-sink research: economy of the Earth's surface and its strata , 2016 .

[33]  John B. Anderson,et al.  Recycling sediments between source and sink during a eustatic cycle: Systems of late Quaternary northwestern Gulf of Mexico Basin , 2016 .

[34]  Andrea Fildani,et al.  Environmental signal propagation in sedimentary systems across timescales , 2016 .

[35]  J. Eggenhuisen,et al.  Deep-Water Sediment Bypass , 2015 .

[36]  Z. Sylvester,et al.  Rapid Adjustment of Submarine Channel Architecture To Changes In Sediment Supply , 2015 .

[37]  G. Hampson,et al.  Quantitative characterisation of deltaic and subaqueous clinoforms , 2015 .

[38]  R. Dorrell,et al.  Optimised mixing and flow resistance during shear flow over a rib roughened boundary , 2014 .

[39]  J. Holbrook,et al.  A Fulcrum Approach To Assessing Source-To-Sink Mass Balance Using Channel Paleohydrologic Paramaters Derivable From Common Fluvial Data Sets With An Example From the Cretaceous of Egypt , 2014 .

[40]  S. Grundvåg,et al.  Depositional architecture and evolution of progradationally stacked lobe complexes in the Eocene Central Basin of Spitsbergen , 2014 .

[41]  Peter J. Talling,et al.  How are subaqueous sediment density flows triggered, what is their internal structure and how does it evolve? Direct observations from monitoring of active flows , 2013 .

[42]  S. Hubbard,et al.  Slope channel sedimentary processes and stratigraphic stacking, Cretaceous Tres Pasos Formation slope system, Chilean Patagonia , 2013 .

[43]  Esther J. Sumner,et al.  Subaqueous sediment density flows: Depositional processes and deposit types , 2012 .

[44]  C. Paola,et al.  Mass-Balance Effects in Depositional Systems , 2012 .

[45]  J. Eggenhuisen,et al.  Concentration-Dependent Flow Stratification In Experimental High-Density Turbidity Currents and Their Relevance To Turbidite Facies Models , 2012 .

[46]  D. Lowe,et al.  Climbing‐ripple successions in turbidite systems: depositional environments, sedimentation rates and accumulation times , 2012 .

[47]  J. Eggenhuisen,et al.  The vertical turbulence structure of experimental turbidity currents encountering basal obstructions: implications for vertical suspended sediment distribution in non‐equilibrium currents , 2012 .

[48]  S. Balachandar,et al.  Emplacement of massive turbidites linked to extinction of turbulence in turbidity currents , 2012 .

[49]  H. Posamentier,et al.  Architecture of turbidite channel systems on the continental slope: Patterns and predictions , 2011 .

[50]  A. Fildani,et al.  Evolution of deep-water stratigraphic architecture, Magallanes Basin, Chile , 2011 .

[51]  Christopher J. Smith,et al.  Understanding sediment dynamics of two large submarine valleys from seafloor data: Blanes and La Fonera canyons, northwestern Mediterranean Sea , 2011 .

[52]  D. Piper,et al.  Linking Onshore–Offshore Sediment Dispersal in the Golo Source-to-Sink System (Corsica, France) During the Late Quaternary , 2011 .

[53]  A. Fildani,et al.  Intrinsic controls on the range of volumes, morphologies, and dimensions of submarine lobes , 2010 .

[54]  T. McHargue,et al.  High-Relief Slope Clinoform Development: Insights from Outcrop, Magallanes Basin, Chile , 2010 .

[55]  J. Howell,et al.  Control of Aptian palaeobathymetry on turbidite distribution in the Buchan Graben, Outer Moray Firth, Central North Sea , 2010 .

[56]  D. Hodgson,et al.  Evolution, architecture and hierarchy of distributary deep‐water deposits: a high‐resolution outcrop investigation from the Permian Karoo Basin, South Africa , 2009 .

[57]  O. Martinsen,et al.  Reconstructing morphological and depositional characteristics in subsurface sedimentary systems: An example from the Maastrichtian–Danian Ormen Lange system, More Basin, Norwegian Sea , 2009 .

[58]  O. Martinsen,et al.  Relationships between morphological and sedimentological parameters in source‐to‐sink systems: a basis for predicting semi‐quantitative characteristics in subsurface systems , 2009 .

[59]  S. Balachandar,et al.  Direct numerical simulation of stratification effects in a sediment-laden turbulent channel flow , 2009 .

[60]  J. Syvitski,et al.  Geology, Geography, and Humans Battle for Dominance over the Delivery of Fluvial Sediment to the Coastal Ocean , 2007, The Journal of Geology.

[61]  J. L. Casamor,et al.  Morphogenetic mesoscale analysis of the northeastern Iberian margin, NW Mediterranean Basin , 2006 .

[62]  R. Steel,et al.  Shelf‐margin clinoforms and prediction of deepwater sands , 2005 .

[63]  J. Alexander,et al.  Quantifying velocity and turbulence structure in depositing sustained turbidity currents across breaks in slope , 2005 .

[64]  P. Haughton,et al.  Comparison of spatio–temporal evolution of experimental particulate gravity flows at two different initial concentrations, based on velocity, grain size and density data , 2005 .

[65]  B. Kneller.  The influence of flow parameters on turbidite slope channel architecture , 2003 .

[66]  Jasim Imran,et al.  Reconstruction of turbidity currents in Amazon Channel , 2003 .

[67]  B. Kneller,et al.  Prolific deep-marine slope channels of the Nile Delta, Egypt , 2003 .

[68]  Ben Kneller,et al.  The structure and fluid mechanics of turbidity currents: a review of some recent studies and their geological implications , 2000 .

[69]  N. Hovius,et al.  Rates of delta progradation during highstands: consequences for timing of deposition in deep-marine systems , 1998, Journal of the Geological Society.

[70]  W. H. Graf,et al.  Flow structure in turbidity currents , 1996 .

[71]  Gerard V. Middleton,et al.  Sediment Deposition from Turbidity Currents , 1993 .

[72]  D. B. Prior,et al.  Flow properties of turbidity currents in Bute Inlet, British Columbia , 1991 .

[73]  L. Mayer,et al.  Large-scale current-induced erosion and deposition in the path of the 1929 Grand Banks turbidity current , 1990 .

[74]  Marcelo H. García,et al.  Experiments on Hydraulic Jumps in Turbidity Currents Near a Canyon-Fan Transition , 1989, Science.

[75]  Marcelo Horacio Garcia,et al.  Experiments on turbidity currents over an erodible bed , 1987 .

[76]  P. Kuenen.  Estimated size of the Grand Banks [Newfoundland] turbidity current , 1952 .

[77]  Bruce C. Heezen,et al.  Turbidity currents and submarine slumps, and the 1929 Grand Banks [Newfoundland] earthquake , 1952 .

[78]  R. Daly.  Origin of submarine canyons , 1936 .

[79]  C. Paola,et al.  Research Article DOI: 10.2110/jsr.2008.059 VALLEYS THAT NEVER WERE: TIME SURFACES VERSUS STRATIGRAPHIC SURFACES , 2022 .