Derivation of sediment resuspension rates from acoustic backscatter time-series in tidal waters

Extending oceanographic forecasting models beyond dynamics to ecological parameters involves simulation of concentrations of suspended particulate matter (SPM). The latter will require assimilation of both in situ and remote sensing observations. Assimilation will need to reconcile both types of observations with modelling responses for a variety of both resuspension and settling velocity parameters. This study develops a systematic approach to this problem. Time series of suspended sediment particulate matter (SPM) concentration are routinely obtained via indirect optical, acoustic and satellite instrumentation. However, translating such measurements into components contributed by localised sediment resuspension and horizontal advection is severely complicated by uncertainties concerning the specific SPM characteristics which cannot easily be measured in situ. Since some estimate of synoptic tidal currents is generally available, resuspension-transport-deposition models can be used to interpret these SPM concentration time series. Here, a novel methodology, incorporating an optimisation procedure and a 1-D Lagrangian particle tracking model, is developed to automate this interpretation and indicate the nature of the associated SPM. Utilising calibrated acoustic backscatter measurements from Acoustic Doppler Current Profilers, a downhill simplex optimisation method minimises the least squares coefficient of determination (R) between model and observed SPM concentration time series. Advection of a linear ‘‘background’’ concentration gradient is incorporated into the SPM model, and the optimisation procedure decouples observed SPM concentration time series into background and resuspension components. The model has been validated in three independent ways and good agreement between derived model parameters and independent observations has been found for settling velocity, background concentration gradients and erosion rates. Using data from two contrasting sites in the Mersey estuary and Dover Straits, agreement for concentrations involved 0.61 o R o 0.83. A modular design provides scope for more complex formulations and improvements of 20% in R occurred when a time varying eddy diffusivity was employed. r 2003 Elsevier Science Ltd. All rights reserved.

[1]  Numerical simulations of viscous resuspension , 1992 .

[2]  K. Dyer,et al.  Coastal and Estuarine Sediment Dynamics , 1986 .

[3]  J. Aldridge Hydrodynamic Model Predictions of Tidal Asymmetry and Observed Sediment Transport Paths in Morecambe Bay , 1997 .

[4]  J. Maa,et al.  vims Sea Carousel: A field instrument for studying sediment transport , 1993 .

[5]  Catherine M. Allen,et al.  Numerical simulation of contaminant dispersion in estuary flows , 1982, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[6]  J. Lynch,et al.  The interpretation and evaluation of a 3‐MHz acoustic backscatter device for measuring benthic boundary layer sediment dynamics , 1989 .

[7]  K. Smillie,et al.  An introduction to regression and correlation , 1966 .

[8]  Peter D. Thorne,et al.  A review of acoustic measurement of small-scale sediment processes , 2002 .

[9]  Peter D. Thorne,et al.  Analysis of acoustic measurements of suspended sediments , 1993 .

[10]  D. Prandle,et al.  The vertical structure of tidal currents and other oscillatory flows , 1982 .

[11]  J. R. Hunter The Application of Lagrangian Particle-Tracking Techniques to Modelling of Dispersion in The Sea , 1987 .

[12]  W. Press,et al.  Numerical Recipes in Fortran: The Art of Scientific Computing.@@@Numerical Recipes in C: The Art of Scientific Computing. , 1994 .

[13]  P. Guichet,et al.  Dynamic programming and its application to optimal control , 1971 .

[14]  M. Fennessy,et al.  A comparison of in situ techniques for estuarine floc settling velocity measurements , 1996 .

[15]  Rodney F. W. Coates,et al.  Underwater Acoustic Systems , 1990 .

[16]  Direct inversion method to measure the concentration profile of suspended particles using backscattered sound , 1995 .

[17]  N. Hurford,et al.  Shear diffusion and the spreading of oil slicks , 1986 .

[18]  G. P. Holdaway,et al.  Analysis of results obtained from a triple frequency acoustic backscatter system for measuring suspended sediments , 1994 .

[19]  P. J. Hardcastle,et al.  Measuring suspended sediment concentrations using acoustic backscatter devices , 1991 .

[20]  Peter D. Thorne,et al.  Comparison between ADCP and transmissometer measurements of suspended sediment concentration , 1999 .

[21]  C. Amos,et al.  The Stability of Fine-grained Sediments from the Fraser River Delta , 1997 .

[22]  A. Lane,et al.  Measuring Fluxes in Tidal Estuaries: Sensitivity to Instrumentation and Associated Data Analyses , 1997 .

[23]  A. Elliott,et al.  Modelling Suspended Sediment Concentrations in the Firth of Forth , 1998 .

[24]  B. J. Lees Relationship between eddy viscosity of seawater and eddy diffusivity of suspended particles , 1981 .

[25]  G. Csanady Turbulent Diffusion in the Environment , 1973 .

[26]  E. Eric Adams,et al.  2-D Particle Tracking Model for Estuary Mixing , 1990 .

[27]  H. Christian,et al.  In situ erosion measurements on fine-grained sediments from the Bay of Fundy , 1992 .

[28]  S. Weisberg Applied Linear Regression , 1981 .

[29]  D. Prandle,et al.  Analyses of Flux Measurements in the River Mersey , 1990 .

[30]  D. Eisma,et al.  Suspended Matter in the Aquatic Environment , 1993 .

[31]  K. Black,et al.  High-resolution field measurements and numerical modelling of intra-wave sediment suspension on plane beds under shoaling waves , 2001 .

[32]  J. G. Boon,et al.  Suspended sediment modelling in a shelf sea (North Sea) , 2000 .

[33]  E. Baker,et al.  An in situ erosion rate for a fine‐grained marine sediment , 1984 .

[34]  T. Gross,et al.  Sediment concentration profiling in HEBBLE using a 1-MHz acoustic backscatter system , 1991 .