USGS 2008–2009. Santa Cruz Seafloor Observatory. (Dave Rubin, Jessie Lacy). Click Here for Full Article A universal approximation of grain size from images of noncohesive sediment D. Buscombe,1,2 D. M. Rubin,3 and J. A. Warrick3 Received 3 August 2009; revised 10 December 2009; accepted 21 January 2010; published 10 June 2010. [1] The two‐dimensional spectral decomposition of an image of sediment provides a direct statistical estimate, grid‐by‐number style, of the mean of all intermediate axes of all single particles within the image. We develop and test this new method which, unlike existing techniques, requires neither image processing algorithms for detection and measurement of individual grains, nor calibration. The only information required of the operator is the spatial resolution of the image. The method is tested with images of bed sediment from nine different sedimentary environments (five beaches, three rivers, and one continental shelf), across the range 0.1 mm to 150 mm, taken in air and underwater. Each population was photographed using a different camera and lighting conditions. We term it a “universal approximation” because it has produced accurate estimates for all populations we have tested it with, without calibration. We use three approaches (theory, computational experiments, and physical experiments) to both understand and explore the sensitivities and limits of this new method. Based on 443 samples, the root‐mean‐squared (RMS) error between size estimates from the new method and known mean grain size (obtained from point counts on the image) was found to be ±≈16%, with a 95% probability of estimates within ±31% of the true mean grain size (measured in a linear scale). The RMS error reduces to ≈11%, with a 95% probability of estimates within ±20% of the true mean grain size if point counts from a few images are used to correct bias for a specific population of sediment images. It thus appears it is transferable between sedimentary populations with different grain size, but factors such as particle shape and packing may introduce bias which may need to be calibrated for. For the first time, an attempt has been made to mathematically relate the spatial distribution of pixel intensity within the image of sediment to the grain size. Citation: Buscombe, D., D. M. Rubin, and J. A. Warrick (2010), A universal approximation of grain size from images of noncohesive sediment, J. Geophys. Res., 115, F02015, doi:10.1029/2009JF001477. 1. Introduction [2] Grain size is of fundamental importance, governing the mechanical, electrical and fluid dynamic properties of sediment. The surface texture of a noncohesive, unlithified sediment bed, as sensed by a photographic device, is the two‐dimensional projection of its three‐dimensional struc- ture. Using photographs to quantify grain size (and other properties) of ancient or modern sediment beds, in an automated fashion, is of considerable interest because it is relatively cheap and rapid, and thus can allow much greater coverage and resolution of grain size measurements com- pared to traditional methods [Rubin, 2004]. This is because measurements from digital images are orders of magnitude faster than physical measurements such as sieving and settling [Barnard et al., 2007]. In addition, measurements are nonintrusive and sample only those grains that are exposed to the flow and are thus subject to transport or winnowing. [3] Images of natural sediment beds are complex, typically composed of at least several hundred individual grains all varying in area, form, angularity, color, etc. In addition, grains overlap and this casts shadows across the surface which are irregular in size and spatially random in color. Existing methods of automated grain size estimation from images rely on calibration [e.g., Rubin, 2004; Carbonneau et al., 2004, 2005; Verdú et al., 2005; Buscombe et al., 2008], or on advanced sequences of image processing to isolate and measure each individual grain [e.g., Graham et al., 2005], or both, which are often sediment population specific. In this contribution, we describe a new method for estimating mean grain size from an image which overcomes both these disadvantages. [4] The problem of accurate and automated grain size estimation from an image of natural sediment can be 1United States Geological Survey, and Institute of Marine Studies, University of California, Santa Cruz, California, USA. 2Now at School of Marine Science and Engineering, University of Plymouth, Plymouth, UK. 3U.S. Geological Survey, Santa Cruz, California, USA. This paper is not subject to U.S. copyright. Published in 2010 by the American Geophysical Union. JOURNAL OF GEOPHYSICAL RESEARCH, VOL. 115, F02015, doi:10.1029/2009JF001477, 2010 F02015 1 of 17 Currents, drag, and sediment transport induced by a tsunami Jessica R. Lacy,1 David M. Rubin,1 and Daniel Buscombe2 Received 2 February 2012; revised 22 June 2012; accepted 9 August 2012; published 22 September 2012. [1] We report observations of water surface elevation, currents, and suspended sediment concentration (SSC) from a 10-m deep site on the inner shelf in northern Monterey Bay during the arrival of the 2010 Chile tsunami. Velocity profiles were measured from 3.5 m above the bed (mab) to the surface at 2 min intervals, and from 0.1 to 0.7 mab at 1 Hz. SSC was determined from the acoustic backscatter of the near-bed profiler. The initial tsunami waves were directed cross shore and had a period of approximately 16 min. Maximum wave height was 1.1 m, and maximum current speed was 0.36 m/s. During the strongest onrush, near-bed velocities were clearly influenced by friction and a logarithmic boundary layer developed, extending more than 0.3 mab. We estimated friction velocity and bed shear stress from the logarithmic profiles. The logarithmic structure indicates that the flow can be characterized as quasi-steady at these times. At other phases of the tsunami waves, the magnitude of the acceleration term was significant in the near-bed momentum equation, indicating unsteady flow. The maximum tsunami-induced bed shear stress (0.4 N/m2) exceeded the critical shear stress for the medium-grained sand on the seafloor. Cross-shore sediment flux was enhanced by the tsunami. Oscillations of water surface elevation and currents continued for several days. The oscillations were dominated by resonant frequencies, the most energetic of which was the fundamental longitudinal frequency of Monterey Bay. The maximum current speed (hourly-timescale) in 18 months of observations occurred four hours after the tsunami arrived. Citation: Lacy, J. R., D. M. Rubin, and D. Buscombe (2012), Currents, drag, and sediment transport induced by a tsunami, J. Geophys. Res., 117, C09028, doi:10.1029/2012JC007954. 1. Introduction [2] Over the past decade measurements of tsunamis have proliferated, documenting both their propagation across the ocean and conditions at landfall. However, these data are almost exclusively records of water surface elevation, with very few measurements of current speed. Tsunamis traveling across the deep ocean have small amplitudes and negligible currents, but as they move into shallow coastal waters, wave height and current speed increase. While inundation is the most obvious hazard associated with tsunamis, the drag force, which is proportional to velocity squared, carries much greater potential for destruction [Yeh, 2006]. Thus, mea- surement and accurate prediction of the currents generated by tsunamis is an important component of hazard assessment. Previously, Bricker et al. [2007] published tsunami current data measured under relatively small oscillations in water surface elevation (<0.17 m), and Lynett et al. [2012] reported currents generated by the 2011 Tohoku tsunami at two remote locations. In addition, overland current speeds have been estimated from survivor videos taken during the Tohoku and Samoa tsunamis [Fritz et al., 2006, 2012]. [3] Modeling of tsunami propagation across the ocean neglects friction, which is reasonable in deep water, where the bottom boundary layer is a very small fraction of the depth. As the tsunami approaches shore this fraction increases, both because the ambient depth decreases and because cur- rent speed and thus bed friction increase. The potential for bed drag to influence tsunami-generated currents is much greater than for wind waves, because tsunami periods are an order of magnitude longer. Measurements of currents in the bottom boundary layer under tsunamis are critical for evalu- ating the treatment of bed friction in models of tsunamis as they approach shore. They are also needed to determine bed shear stress and estimate sediment mobilization by tsunamis, and can contribute to accurate hindcasting of tsunami currents from characteristics of sedimentary deposits, an important goal of paleo-tsunami research [Huntington et al., 2007]. [4] Tsunamis can cause damage far from their source, and much of the damage is due to currents [Lynett et al., 2012]. The potential for tsunamis to initiate seiching (free-surface oscillations in enclosed basins) in harbors and bays has long been known [Miles, 1974; Murty, 1977]. Coupling between the initial tsunami forcing and local resonance produces variation in tsunami signals along a coast, and can lead to 1U.S. Geological Survey, Santa Cruz, California, USA. 2School of Marine Science and Engineering, University of Plymouth, Plymouth, UK. Corresponding author: J. R. Lacy, U.S. Geological Survey, Pacific Coastal and Marine Science Center, 400 Natural Bridges Drive, Santa Cruz, CA 95060, USA. (
[email protected]) This paper is not subject to U.S. copyright. Published in 2012 by the American Geophysical Union. JOURNAL OF GEOPHYSICAL RESEARCH, VOL. 117, C09028, doi:10.1029/2012JC007954, 2012 C09028 1 of 15 390 Variation in nearshore bed-sediment grain size Nearshore sediment transport determines the fate of seabed nutrients, contaminants, and pathogens; asserts control on the seabed and water column as habitats; and drives changes in seafloor topography which, in turn, affect wave transfor- mation processes, spatial gradients in energy dissipation, and nearshore hydrodynamic circulation patterns. Relatively small changes in grain size have been shown to change the sign (depositional or erosional) of nearshore net sand transport rates (Ribberink and Chen 1993); affect the vertical grain-size distribution in suspension (McFetridge and Nielsen 1985); and the shape of suspended sediment concentration profiles (Con- ley et al. 2008). Laboratory experiments with graded beds sim- ulating very high energy sheet-flow conditions show prefer- ential transport of the coarse fractions in the mixture (e.g., van der Werf et al. 2006), and that the transport of each size- fraction is strongly influenced by the presence of other frac- tions (e.g., Wilcock 1988). Model calculations of suspended-sediment flux have been shown to become highly inaccurate within hours if the effects of variable bed-sediment grain-size are ignored, because waves and currents can modify the spatial distribution of seabed sed- iments in a variety of shelf settings over this time-scale (Har- ris and Wiberg 2002). However, advances in modeling grain- size sorting (spatial segregation) and its underlying selective transport mechanisms are hampered by few observations at sufficient coverage/frequency with which to compare theory. The result is that most nearshore (e.g., Bailard 1981; Larson and Kraus 1995) and regional shelf (e.g., Harris and Coleman 1998; Zhang et al. 1999; Cookman and Flemings 2001) mod- els tend to oversimplify grain-size distribution effects on sedi- ment transport because detailed observations of the behavior of a mixture of size fractions is lacking. A more complete understanding of the role of grain size in the physics of sediment transport requires the collection of grain-size data with more temporal and spatial coverage, and Autonomous bed-sediment imaging-systems for revealing temporal variability of grain size Daniel Buscombe1*, David M. Rubin2, Jessica R. Lacy2, Curt D. Storlazzi2, Gerald Hatcher2, Henry Chezar2, Robert Wyland2, and Christopher R. Sherwood3 1United States Geological Survey, Flagstaff, Arizona, USA 2United States Geological Survey, Santa Cruz, California, USA 3United States Geological Survey, Woods Hole, Massachusetts, USA Abstract We describe a remotely operated video microscope system, designed to provide high-resolution images of seabed sediments. Two versions were developed, which differ in how they raise the camera from the seabed. The first used hydraulics and the second used the energy associated with wave orbital motion. Images were analyzed using automated frequency-domain methods, which following a rigorous partially supervised quality control procedure, yielded estimates to within 20% of the true size as determined by on-screen manual measurements of grains. Long-term grain-size variability at a sandy inner shelf site offshore of Santa Cruz, California, USA, was investigated using the hydraulic system. Eighteen months of high frequency (min to h), high-resolution (μm) images were collected, and grain size distributions compiled. The data constitutes the longest known high-fre- quency record of seabed-grain size at this sample frequency, at any location. Short-term grain-size variability of sand in an energetic surf zone at Praa Sands, Cornwall, UK was investigated using the ‘wave-powered’ system. The data are the first high-frequency record of grain size at a single location of a highly mobile and evolving bed in a natural surf zone. Using this technology, it is now possible to measure bed-sediment-grain size at a time-scale comparable with flow conditions. Results suggest models of sediment transport at sandy, wave-dom- inated, nearshore locations should allow for substantial changes in grain-size distribution over time-scales as short as a few hours. *Corresponding author: E-mail:
[email protected] Acknowledgments Full text appears at the end of the article. DOI 10.4319/lom.2014.12.390 Limnol. Oceanogr.: Methods 12, 2014, 390–406 © 2014, by the American Society of Limnology and Oceanography, Inc. LIMNOLOGY and OCEANOGRAPHY: METHODS Daniel Buscombe.
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