Article

The effect of wave-induced pore water circulation on the transport of reactive solutes below a rippled sediment bed

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Abstract

The role of pore water flow in solute transport below a rippled sediment bed in a coastal environment is investigated. Based on the velocity field induced by the passage of gravity waves, a steady-state transport equation is solved numerically over a range of field conditions. A consumption term governed by first-order kinetics, a constant diffusivity and a constant boundary concentration slightly above the sediment-water interface are assumed in the two-dimensional continuum model. Significant spatial variations in concentration are found when there is an appreciable pore water flow. The concentration below a ripple trough can be many times higher than that at the same depth below a crest, and the concentration gradient in the horizontal can be of the same order of magnitude as that in the vertical. At high advective transport, a region of uniform concentration is found immediately below the ripple surface away from the crests. The rate of consumption over the sediment layer is compared with the corresponding rate in the absence of advective transport. Their ratio increases monotonously with the ripple slope and the ratio of the magnitudes of advective to diffusive transport and can reach up to 5 even for a relatively mild ripple slope of 0.1. As the magnitude of advective transport depends on the prevalent wave conditions, the rate of consumption and the distribution of solute concentration can vary appreciably with time. These results suggest that hydrodynamic conditions, sediment characteristics, and surface topography should be integral parts of field measurements of the distribution and flux of solutes in coastal sediments.

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... [2] Physical forcing of porewater circulation occurs through a variety of processes (Burnett et al. 2003), including the generation of pressure gradients along the sediment-water interface (SWI) and within the sediment. The drivers are typically tides, waves, and currents acting on flat or rough surfaces (Shum 1992;Huettel et al. 1996;Cardenas et al. 2008). These forcing factors occur over the majority of the areas comprising continental shelves (Moore and Shaw 1998;Moore et al. 2002;Reimers et al. 2004). ...
... That is, the sediment is assumed to be a low-pass filter, such that high-frequency oscillations in pressure, occurring above the frequency of waves, are ignored. A steady or steadily varying pressure field, and therefore a steady flow field, is assumed in most previous models (Shum 1992(Shum , 1993. The pioneering study by Riedl et al. (1972) showed that the total flux across the ripple surface increases with frequency of a progressive gravity wave over a flat surface. ...
... That is, the sediment is assumed to be a low-pass filter, such that high-frequency oscillations in pressure, occurring above the frequency of waves, are ignored. A steady or steadily varying pressure field, and therefore a steady flow field, is assumed in most previous models (Shum 1992(Shum , 1993. The pioneering study by Riedl et al. (1972) showed that the total flux across the ripple surface increases with frequency of a progressive gravity wave over a flat surface. ...
Article
Waves induce porewater flow and solute transport through permeable marine sediment. However, past studies have ignored high-frequency pressure pulses, under the assumption that the porewater flow field is adequately represented by a time-averaged one or that the saturated sediment is incompressible. We modeled porewater flow and solute transport inside ripples, forced by instantaneous pressure profiles along the sediment-water interface (SWI) with 0.1-s temporal resolution. The transient pressure profiles were taken from a field data–driven large-eddy simulation model of wave-driven oscillatory flow. The simulations suggest that in elastic, permeable, and saturated sediment, a time-averaged representation of the flow field may be inadequate and that this also leads to shortcomings in how transport is modeled. Bursts in fluid flushing occur when high-frequency pressure fluctuations were considered, leading to larger long-term average fluid fluxes compared to a steady flow field driven by a time-averaged pressure profile. The pressure perturbations along the SWI propagate within a few milliseconds to meter depths within the sediment leading to strongly transient porewater velocity fields. This leads to enhanced dispersion of solutes and larger time-averaged solute fluxes. However, enhanced solute flux across the SWI diminished through time with increasing permeability. The high-frequency transient pressures and sediment elastic properties we considered have been largely ignored and unrecognized. Future observational and modeling studies should consider these processes, especially since they mediate timing-sensitive biogeochemical reactions.
... [5] Motivated by the findings of Webb and Theodor [1968], who demonstrated that convection is insufficient to explain the seepage through the porous lake bottom, the above described approach has been explored by a number of authors, generally in an attempt to study seepage due to surface wave induced flow over topography (e.g., ripples with centimeter scales), and has demonstrated noticeable seepage in the porous layer [Shum, 1993;Elliot and Brooks, 1997;Sawyer and Cardenas, 2009;Huang et al., 2011;Cardenas and Jiang, 2011;Hsieh et al., 2003]. We argue here that internal waves induce substantially more seepage through the porous domain than do surface gravity waves in lakes deeper than a few meters. ...
... [6] While we are concerned here mainly with the seepage through the porous layer, we note that Shum [1993] has constructed a model to explicitly model the flow of solutes through the porous layer. Similarly, a recent study by Grant et al. [2012] argued that the mass transport through the hyporheic zone may be significantly different than previously thought. ...
... While the formation of internal waves from the steepening of internal seiches is a generic phenomenon that is largely independent of lake topography, this topography is crucial in allowing the formation of the trapped waves, and in modifying the wave-induced pressure perturbations that drive flow across the SWI. We briefly mention that the importance of topography has also been mentioned in the literature, where Shum [1993] demonstrates how the concentration of nutrients within the lake bed can be substantially influenced by the bottom topography. Similarly, Wörman et al. [2006] also demonstrate how complex topography can lead to stagnant regions within the porous domain. ...
Article
It has long been known that surface gravity waves induce significant seepage through the porous layer found at the lake bottom. Away from coastal regions, however, the pressure signature of surface waves at the lake bottom is weak. We consider fully nonlinear internal gravity waves, whose long wavelength and slow motion implies a sustained and strong pressure perturbation even in the deep regions of the lake. We argue that internal waves can induce significant seepage through the sediment layer, in regions where surface gravity waves have negligible impact. The pressure profile at the fluid-porous layer interface is computed from the "exact" Dubreil-Jacotin-Long theory, giving a reliable profile even for large waves. This profile is used in conjunction with Darcy's law to compute the seepage within the porous region. We find that the geometric distribution of seepage is strongly controlled by both the ratio of porous media thickness to the horizontal length of the pressure perturbation, and the bottom topography, when it is present. Based on work on the interaction of internal solitary waves with the bottom boundary layer, we develop a model to account for the changes in permeability due to wave-induced instabilities in the bottom boundary layer and enhanced benthic turbulence. This turbulence acts to unplug the pores near the surface by lifting the detritus that clogs them. The resulting changes in permeability significantly enhance exchange between the free fluid and the porous medium on the downstream side of the wave.
... Wave-driven in situ pore water velocities were measured by Precht and Huettel (2004). Shum (1992) calculated the pore water motion under a rippled bed over one wave period with a twodimensional computational model, showing that the zone of advection extends several ripple heights below the ripple surface over a wide range of wave conditions and sediment characteristics. These transport studies suggest that waves, by enhancing advective fluid exchange between sediment and overlying water, also affect the biogeochemical process-es in permeable beds in the same way as unidirectional flows. ...
... These transport studies suggest that waves, by enhancing advective fluid exchange between sediment and overlying water, also affect the biogeochemical process-es in permeable beds in the same way as unidirectional flows. Oxygen distributions underneath a rippled surface exposed to progressing waves modeled by Shum (1993) revealed that, in permeable beds, oxygen concentration gradients in the horizontal might be the same order of magnitude as those in the vertical. In a wave tank study quantifying the wave-induced advective interfacial exchange, Precht and Huettel (2003) showed that horizontal tracer concentration gradients migrate with sediment topography (ripple) propagation. ...
... The waves transformed the smooth sediment with a thin, continuous, oxygenated surface layer into a rippled bed with a thick oxygenated layer interrupted by oxygen-depleted zones of upwelling deep pore water. Consequently, steep horizontal oxygen concentration gradients developed in the sediment, as had been predicted by Shum (1993). ...
Article
The effects of advective pore water exchange driven by shallow water waves on the oxygen distribution in a permeable (k = 3.3 × 10-12 to 4.9 ∓ 10-11 m2) natural sediment were studied with a planar oxygen optode in a wave tank. Our experiments demonstrate that pore water flow driven by the interaction of sediment topography and oscillating boundary flow changes the spatial and temporal oxygen distribution in the upper sediment layer. Oxygenated water intruding in the ripple troughs and deep anoxic pore water drawn to the surface under the ripple crests create an undulating oxic-anoxic boundary within the upper sediment layer, mirroring the topographical features of the sediment bed. Anoxic upwelling zones under ripple crests can separate the oxic sediment areas of neighboring ripple troughs with steep horizontal oxygen concentration gradients. The optode showed that migrating wave ripples are trailed by their pore water flow field, alternately exposing sediment volumes to oxic and anoxic pore water, which can be a mechanism for remobilizing particulate oxidized metal precipitates and for promoting coupled nitrification-denitrification. More rapid ripple migration (experimental threshold ∼20 cm h-1) produces a continuous oxic surface layer that inhibits the release of reduced substances from the bed, which under slowly moving ripples is possible through the anoxic vertical upwelling zones. Swift, dramatic changes in oxygen concentration in the upper layers of permeable seabeds because of surface gravity waves require that sediment-dwelling organisms are tolerant to anoxia or highly mobile and enhance organic matter mineralization.
... These differences indicate that meteoric water originating as recharge to onshore aquifers represents only a fraction of total submarine ground water discharge, with the remainder composed of sea water that is mixed with the shallow pore water (Bokuniewicz 1992; Burnett et al. 2002). The addition of sea water could result from at least three major categories of processes: density contrast between sea water and fresh water (Webster et al. 1996; Rasmussen 1998), wave and tidal pumping of water into the sediments (Li et al. 1999; Nielsen 1990; Shum 1992 Shum , 1993 Mu et al. 1999 ), and biological pumping caused by burrowing organisms (bioirrigation ) (Aller 1980; Smethie et al. 1981; Emerson et al. 1984; Aller and Aller 1992; Marinelli 1994; Boudreau and Marinelli 1994; Schulter et al. 2000; Warnken et al. 2000; Sandnes et al. 2000; Furukawa et al. 2000; Furukawa et al. 2001; Meile et al. 2001; Timmermann et al. 2002 ). Consequently , the magnitude of submarine ground water discharge must be controlled to some extent by physical and biological processes at the sediment-water interface, in addition to hydraulic head-driven discharge from continental aquifers. ...
... Processes causing shallow mixing other than bioirrigation could include tidal and wave pumping and densitydriven convection. Tidal variations in water level have been shown through numerical simulations to force water into permeable sediments (Nielsen 1990; Shum 1992 Shum , 1993). Tidal range of the Banana River Lagoon is low, averaging ~10 cm (Smith 1993), which suggests that tidal pumping is unlikely to be a major driving force for flow. ...
... Waves are smaller in the Banana River Lagoon than on open beaches such as modeled by Li et al. (1999) and Mu et al. (1999). The effects of waves over rippled beds, however, can provide significant penetration of water into sediments (Shum 1992Shum , 1993). The depth of penetration into rippled beds is controlled by a complex interplay of variables such as ripple length, amplitude, sediment permeability and the wavelength, height, and period of water waves, but penetration can be up to five times the ripple height (Shum 1993 ). ...
Article
Submarine ground water discharge is suggested to be an important pathway for contaminants from continents to coastal zones, but its significance depends on the volume of water and concentrations of contaminants that originate in continental aquifers. Ground water discharge to the Banana River Lagoon, Florida, was estimated by analyzing the temporal and spatial variations of Cl− concentration profiles in the upper 230 cm of pore waters and was measured directly by seepage meters. Total submarine ground water discharge consists of slow discharge at depths > ∼70 cm below seafloor (cmbsf) of largely marine water combined with rapid discharge of mixed pore water and estuarine water above ∼70 cmbsf. Cl− profiles indicate average linear velocities of ∼0.014 cm/d at depths > ∼70 cmbsf. In contrast, seepage meters indicate water discharges across the sediment-water interface at rates between 3.6 and 6.9 cm/d. The discrepancy appears to be caused by mixing in the shallow sediment, which may result from a combination of bioirrigation, wave and tidal pumping, and convection. Wave and tidal pumping and convection would be minor because the tidal range is small, the short fetch of the lagoon limits wave heights, and large density contacts are lacking between lagoon and pore water. Mixing occurs to ∼70 cmbsf, which represents depths greater than previously reported. Mixing of oxygenated water to these depths could be important for remineralization of organic matter.
... Benthic exchange depth, which defines reaction zone volume, is controlled by the length and time scales of the hydrodynamic forcing mechanism [e.g. Jeng et al., 2001;Shum, 1993;Cardenas and Wilson, 2006] as well as the aquifer depth [e.g. Harrison et al., 1983;King et al., 2009] and hydraulic diffusivity [e.g. ...
... Thus waves strongly influence benthic reactivity and corresponding chemical fluxes through and discharging from the seabed [e.g. Shum, 1993;Cardenas et al., 2008] and influencing elemental cycling [e.g.]. The new understanding of spatial and temporal variability of wave-induced exchange derived from this analysis can help identify the "hot spots" and "hot moments" in submerged sediments and coastal aquifers [Marzadri et al., 2012;Zarnetske et al., 2011;Heiss et al., 2017]. ...
Article
Hydrodynamically driven benthic exchange of water between the water column and shallow seabed aquifer is a significant and dynamic component of coastal and estuarine fluid budgets. Associated exchange of solutes promotes ecologically important chemical reactions, so quantifying benthic exchange rates, depths, and residence times constrains coastal chemical cycling estimates. We present the first combined field, numerical, and analytical modeling investigation of wave-induced exchange. Temporal variability of exchange was calculated with data collected by instruments deployed in a shallow estuary for 11 days. Differential pressure sensors recorded pressure gradients across the seabed, and up- and down-looking ADCPs recorded currents and pressures to determine wave parameters, surface-water currents, and water depth. Wave-induced exchange was calculated (1) directly from differential pressure measurements, and indirectly with an analytical model based on wave parameters from (2) ADCP and (3) wind data. Wave-induced exchange from pressure measurements and ADCP-measured wave parameters matched well, but both exceeded wind-based values. Exchange induced by tidal pumping and current-bed form interaction—the other primary drivers in shallow coastal waters were calculated from tidal stage variation and ADCP-measured currents. Exchange from waves (mean = 20.0 cm/d; range = 1.75–92.3 cm/d) greatly exceeded exchange due to tides (mean = 3.7 cm/d) and current-bed form interaction (mean = 6.5 × 10−2 cm/d). Groundwater flow models showed aquifer properties affect wave-driven benthic exchange: residence time and depth increased and exchange rates decreased with increasing hydraulic diffusivity (ratio of aquifer permeability to compressibility). This new understanding of benthic exchange will help managers assess its control over chemical fluxes to marine systems.
... The higher permeability in sandy sediments is one factor that leads to the increased relative importance of advective solute fluxes, which are driven by changes in pressure gradients, as opposed to finegrained sediments where diffusive solute fluxes, driven by molecular diffusion, are the main drivers of solute transport. (e.g., Huettel and Gust, 1992;Shum, 1993;Boudreau, 1997;Precht and Huettel, 2004;Jahnke et al., 2005;Janssen et al., 2005). Surface waves, topographical sediment features such as ripples, tidal pumping, changes in near-bed current velocities, and temperature and salinity gradients can all alter pressure gradients and drive advection within highly permeable sediments . ...
... Porewater in the carbonate sandy sediments of reef environments can be significantly affected by the overlying water column because of their permeable and porous nature. Advective processes and differences in pressure gradients from waves, tides, formation of sand ripples, etc. will alter flow rates of water through the sedimentary column (e.g., Shum, 1993;Precht and Huettel, 2004;Fogaren et al., 2013;Fram et al., 2014). An important finding of our work is that swell events generated by storms and changes in wind and bottom current speeds at both the Ala Wai and CRIMP-2 locations appear to alter porewater gradients of chemical constituents in the sediments on short time scales. ...
... Comme il n'existe pas de données expérimentales suffisamment complètes pour parfaitement valider le modèle (difficultés d'acquisition, programme d'acquisition en cours), la validation du modèle constitue plutôt une vérification de la coéhrence des sorties du modèles par comparaison avec les résultats d'un modèle proche du nôtre. Une grande diversité d'approche du problème existe en terme d'équations, de conditions aux limites, de géométries, de prise en compte ou non de certains phénomènes physiques tel que par exemple le mélange des eaux souterraines venant du continent avec l'eau de mer ou le terme d'emmagasinement de l'équation de Richards (Nielsen, 1990 ;Shum, 1993 ;Turner 1993 ;Li et al., 1997 ;Assouline, 1998 ;Boufadel et al., 1999 ;Uchiyama, 1999 ;Toride, 2003 ;Cartwright, 2006 ;Robinson et al., 2007 ;Gibbes et al., 2008). Par exemple, le problème peut être abordé par l'équation de Richards (Richards, 1931 ;Miller et al., 2006: Manzini et al., 2004Varado et al., 2006) ou par l'équation de Boussinesq (Bear, 1972 ;Parlange 2000 ;Al Bitar, 2007). ...
... This advective flow significantly increases the exchanges of solute species across the sedimentwater interface (Simmons, 1992 ;Shum and Sundby, 1996 ;Moore et al., 1999 ;Moore et al., 2002 ;Taniguchi, 2002 ;Gibbes et al., 2008). The biogeochemical reactions that act in these permeable sediments (dissolution, precipitation, remineralization processes and redox reactions) are strongly dependent on this advective pore water flow (Shum, 1993 ;Falter and Sansone, 2000 ;Precht et al., 2004 ;Cook et al., 2007 ;Spiteri et al., 2008, Anschutz et al., 2009. Consequently, permeable sediments represent a key component to understand the biogeochemical cycles. ...
Thesis
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For a better understanding of the complexity of the biogeochemical processes in coastal re- gion, a 2D model has been developed. This model couples hydrodynamic forcing generated by the tide and the transport-reaction processes of biogeochemical species. Di- scharge of the tide into the variably-saturated porous media is modelled by Richards equation. Some numerical me- thods are required for solving this kind of complex problem, as Streamline Upwind Petrov Galerkin (SUPG) method and shock capturing method. The highly dynamical site of the Truc-Vert beach has been chosen as reference field, mainly because of avalaible biogeochemical and hydrodynamical studies. The input parameters of the model come from these field data (ANR PROTIDAL and MO- BISEA projects) and from the bibliography. The validation of the model was made in regards of two case studies from published hydrodynamic simu- lations under tidal forcing and from avaliable transport-reaction solutions. A first version of the model has been declined to describe silicic acid evolution into porous media under tidal forcing. The flux of the silicic acid to the ocean and the residence time of silicic acid into permeable sandy sediments were estimated. After some days, we observe the formation of a lens of low silicic acid concen- tration in the upper part of the intertidal zone. This lens is the main imprint of the tidal forcing. We studied also variations of the lens geo- metry and the residence time under influence of model parameters, such as the beach slope, the tide amplitude and the dispersion coefficient. A second version of the model describes the organic mat- ter degradation , and simulates the concentrations of oxygen, nitrates and phosphates. The model reproduces the spatial (2D) and temporal distribution of the concentration of these different che- mical species into the sediment. Nowadays environmental problems are fondamental for our society and the understanding of the sediment-ocean interactions is a crucial step. The new model allows us a better understanding of the tidal impact on biogeochemical processes in permeable sediments and offers a quantitative approach on biogeochemical processes that occur into variably-saturated sandy sediments. The model also offers a useful tool to optimize sampling strategy for field studies. Keywords : early diagenesis, intertidal zone, hydrodynamic, transport-reaction equation, Richards equation, permeable sediment, variably-saturated porous media.
... For reactive species, the fate, transport and concentration distribution in the HZ is not only regulated by various bed topographies of a river but also biogeochemical reactions [5,[23][24][25]. The transport of nitrogen, being a nutrient essential to sustain life, has important implications for quality of both SW and GW. ...
... Given the constraints of field measurements, concentration distributions in HZ have been well investigated via the simulation of coupling between hyporheic flow and biogeochemical activity. For example, significant spatial variations in concentration of reactive solutes have been observed below a riffled sediment bed by Shum [25]; Bardini et al. [31] reported on chemical zonation of nutrients in a duned streambed. ...
... Enhancement of transport by tide-induced advection has been detected in some North Sea sediments by [5] (purely diffusive transport was measured in other areas). The ripple-induced enhancement that has been measured in the laboratory by [6] and analysed by [7,8]. It probably pertains in some locations and is clearly related to the detailed investigations carried out by [9][10][11] and [12,13] on the solute flux between a stream and migrating sediment bedforms. ...
... [15] make note of additional limitations in the simple form of Darcy's law used in the above system of equations, including the neglect of fluid inertial terms (see also [22,23]). Finally, we note that the advective term in Eq. 1 can be written in terms of the above velocity field as u.∇c = U e −ky (c x cos θ − c y sin θ) (8) and the corresponding form of the solute transport Eq. 1 becomes ...
Article
Full-text available
The issue of the transport of dissolved nutrients and contaminants between the sediment in the bottom of a lake or reservoir and the body of water above it is an important one for many reasons. In particular the biological and chemical condition of the body of water is intricately linked to these mass transport processes. As the review by Boudreau (Rev Geophys 38(3):389–416, 2000) clearly demonstrates those transport processes are very complex involving mechanisms as diverse as the wave-induced flux between the sediment and the overlying water and the effect of burrowing animals on the transport within the sediment as well as basic diffusion mechanisms. The present paper focuses on one facet of these transport processes; we re-examine the balance of diffusion and wave-induced advection and demonstrate that the wave-induced flux of a solute from submerged sediment is not necessarily purely diffusive as suggested by Harrison et al. (J Geophys Res 88:7617–7622, 1983) but can be dominated by a mean or time-averaged flux induced by the advective fluid motion into and out of the sediment caused by the fluctuating pressure waves associated with wave motion. Indeed along the subtidal shoreline where the fluctuating bottom pressures are greatest, wave-induced advection will dominate the mean, time-averaged transport of solute into or out of the sediment as suggested in the work of Riedl et al. (Mar Biol 13:210–221, 1972). However, the present calculations also indicate that this advective flux decreases rapidly with increasing depth so that further away from the shoreline the advective flux becomes negligible relative to the diffusive flux and therefore the latter dominates in deeper water.
... Possible mechanisms driving exchange-In the Indian River Lagoon, it is unlikely that density differences ( Bokuniewicz et al. 2004;Moore and Wilson 2005), tidal and wave pumping (Shum 1993;Huettel and Webster 2001), or seasonal variations in terrestrial water table ( Michael et al. 2005) drive the exchange of water across the sediment-water interface. The small tidal range of ,10 cm (Smith 1993), would be insufficient to drive water to depths as great as 40 cmbsf in the sediment in these moderately permeable (k i < 1 3 10 27 cm 2 ) muddy sands ( Hartl et al. unpubl.). ...
... Furthermore, if exchange is as rapid as estimated from temperature variations, then tidal periodicity and seasonal variations of the water table are longer than the exchange time and would not drive exchange at the observed rate. Wave heights in the lagoon are limited by the small fetch across the lagoon, and bedforms are typically only a few centimeters high, limiting Bernoulli pumping of water into the sediment (Shum 1993;Huettel and Webster 2001). ...
Article
Time-series measurements of chloride (Cl-) concentrations in lagoon and pore waters of an estuary on the east coast of Florida (Indian River Lagoon) demonstrate exchange of lagoon surface water to depths of ∼40 cm in the sediment in less than 46 h. The exchange rate may be as fast as 150 cm d-1 based on models of the decay in the amplitude of diurnal temperature variations and the time lag of maxima and minima of the temperature variations at depths of 15 and 30 cm below the sediment-water interface. These flow rates indicate a minimum residence time of 0.33 d for the pore water. Considering the small tides and waves, rate of the exchange, and large number of bioturbating organisms in the Indian River Lagoon, the exchange of water is driven largely by bioirrigation. The exchange provides a greater flux of excess radon-222 from the sediment to the lagoon than would occur from diffusion alone. The exchange also pumps oxygenated water into the sediments, thereby enhancing organic carbon remineralization and the flux of nitrogen from sediments to the lagoon water. High rates of exchange across the sediment-water interface indicate that marine sources are volumetrically more important than terrestrial sources to submarine groundwater discharge in the permeable sediments of this estuary. © 2006, by the American Society of Limnology and Oceanography, Inc.
... These observations indicated that a large fraction of SGD may be composed of lagoon water that circulates through shallow estuarine sediments MARTIN et al., 2004). This circulation could originate through pumping mechanisms, such as wave action (e.g., SHUM, 1992SHUM, , 1993HUETTEL et al., 1996;HUETTEL and WEBSTER, 2001;LI et al., 1999) and bioirrigation (e.g., EMERSON et al., 1984). The contributions of SGD to the water and nutrient budgets, including the role that ventilation of the sediment has on nutrient cycling, has not been determined. ...
... Although these data do not provide information on the rate of flow during ventilation or its primary mechanism, several possibilities for promoting lagoon water recirculation may exist. Prior work has suggested that a variety of processes could be responsible including bioirrigation (KOROSEC, 1979;EM-ERSON et al., 1984;STAMHUIS and VIDELER, 1998) or physical pumping by waves and tides (SHUM, 1992(SHUM, , 1993HEUTTEL et al., 1996;LI et al., 1999). Physical mechanisms for pumping water into and out of sediments usually have limited depth ranges (less than 20 to 30 cm) in sediments because of the increased friction of the pore network. ...
Article
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Dissolved constituent fluxes from the sediment to the water column are important in estuarine environments. Benthic nutrient source depends on the mechanisms driving advection, the advective transport rate, and the concentration of nutrients in the discharged water, all of which depend on the source of discharged water and water-solid reactions along its flow. Pore water advection has been measured at rates of 3 to 6 cm/d using seepage meters in the Banana River Lagoon, Florida. Diffusion, advection, and reaction modeling of SiO2 profiles in pore water indicate that advection and reactions are more important than diffusion in the upper I in of the sediments. Advection results from the recirculation of the overlying water column through the bottom sediments, oxygenating the lagoon water, while pore water lacks oxygen. As lagoon water recirculates through sediments, the subsequent loss of oxygen enhances regeneration of buried organic matter. Using measured seepage rates and average pore water concentrations of nutrients, N and P fluxes from the sediment are estimated to be 33 to 38 mu g/cm(2)/y and 3 to 5 mu g/cm(2)/y, respectively. On the basis of sedimentation rates and the average concentrations of N and P in the sediment, the fluxes of N and P to the sediment are estimated to be 9 to 38 mu g/cm(2)/y and 2 to 6 mu g/cm(2)/y, respectively. These values suggest that 100% more N and 30% more P may discharge with recirculating lagoon water than is deposited in the sediment. Because the source of most pore water is surface water, the excess nutrients appear to originate from organic matter regeneration at or near the sediment-water interface, thereby elevating their concentrations in pore waters and depleting their concentration in the buried sediment. This regeneration of nutrients appears to limit their burial rate in the lagoon.
... For example, feeding and reproduction of organisms (Webster and Weissburg 2009), and exchanges of dissolved oxygen controlling the metabolism and nutrient cycling of biota (O'Connor and Hondzo 2008;Higashino and Stefan 2011). For the case of a rippled sediment bed, studies have found that mass sources, such as particulate carbon, dissolved oxygen, and algae, can preferentially organize below a particular ripple feature (i.e., trough, crest, or flank), resulting in significant across-ripple variability in porewater properties (Shum 1993;Precht et al. 2004;Huettel et al. 2007;Ramey et al. 2009). Hence, understanding mass and momentum transport near the WBBL is vital to asses, predict, and potentially mitigate these and other processes at the sediment-water interface (SWI). ...
Article
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We describe an oscillating boundary layer apparatus (OBLA) to investigate mass and momentum transfer in the wave bottom boundary layer. The facility is designed such that near-bed shallow water orbital velocities are physically modeled in full scale. A PIV/PLIF system allows for simultaneously resolving the intra-ripple velocity and dye concentration fields. We examine two cases by injecting dye at the trough and crest of the rippled boundary. The extent of the plume is the largest near the zero-crossing of the free-stream velocity and 40∘\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$^\circ$$\end{document} later for the trough and crest case, respectively. Both cases showed periodic turbulent vortical structures influencing the phase-averaged concentration plumes. For normalized concentrations greater than 0.01, the plumes remained within the boundary layer and traveled half a ripple length for both cases. Dye spread vertically upward about 2 and 1.5 ripple heights from the crest and trough sources, respectively. Stronger advection was observed over the crests, along with a clear dependence on bedform asymmetry.
... While these models work well for clays and muds, they do not appropriately represent permeable sediments because they neglect advective flow, which is fundamental to the latter's biogeochemical functioning. Building on pioneering contributions by Shum (1992Shum ( , 1993Shum ( , 1995, novel modeling work on permeable sediments Continued Box 2. Biogeochemical models and permeable sediments.-cont'd by Cardenas et al. (2008), Cardenas and Wilson (2007a,b), and Meysman et al. (2007) showed the importance of turbulence and oscillatory flows for diagenetic modeling of sands. ...
Article
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The marine nitrogen cycle is a main driver of ocean productivity and affects global climate. Despite decades of study, we still have an incomplete understanding of the role of the marine nitrogen cycle in the Earth system. While marine sediments play a major role in nitrogen cycling in the ocean, magnitudes and mechanisms are largely unconstrained. Recent research suggests that permeable sandy sediments on the highly energetic and dynamic continental shelf are key components of the marine nitrogen cycle, but data to quantify their contribution are lacking. Here, we use insights from measurements and modeling studies to substantiate the hypothesis that shelf sediments are an overlooked driver of the marine nitrogen cycle. Specifically, we propose that permeable shelf sediments are sites for intense nitrogen conversions and suggest a three‐pronged approach to address unresolved controversies.
... The total flux exchange across the watersediment interface has been identified to be higher across a rippled interface than across a flat bed. The water exchange increases with increasing ripple slope and the strength of the ocean current (Shum, 1992;Shum, 1993). Tracer studies suggest that ripple-flow interactions generate groundwater circulation cells in marine sediments with flows infiltrating in the ripple troughs and exfiltrating from crests (Webb and Theodor, 1968) (Fig. 6). ...
Article
Coastal beach aquifers are biogeochemically active systems that mediate chemical and material fluxes across the land-sea interface. This paper provides a review of major physical stressors and geologic features that influence flow and solute fate and transport in coastal beach aquifers. We outline current understanding of the interactions between these factors and their associated impacts on water and geochemical fluxes within and across these aquifers. The physical processes that control flow, transport, and the formation and distribution of reactive zones in beach aquifers (e.g., tides, waves, density gradients, precipitation, episodic ocean events, and evaporation) operate across overlapping temporal and spatial scales, and present challenges for measuring and modeling physical flow and biogeochemical processes in coastal groundwater systems. Geologic heterogeneity introduces further complexity by modifying flowpaths, mixing patterns, and rates of biotransformation. Interactions between these physical stressors and geological controls are likely to evolve with changes in sea level, climate variability, human settlement, coastal erosion, and other natural and anthropogenic stresses, providing avenues for scientific exploration into the future role of beach aquifers as chemical mediators between the land and ocean.
... The resuspension-induced DSi fluxes were from 1 to 2 orders of magnitude higher than the SWI-diffusive fluxes of the present study or the diffusive fluxes presented by the other studies conducted in the same area (Villnäs et al. 2013;Tallberg et al. 2017;Niemistö et al. 2018). Our results showed the importance of resuspension for the sediment-water cycling of Si in the study area, and is in concordance with the previous studies that have shown the stimulation of desorptive fluxes by resuspension, and the subsequent exposure of sediment particles to variation in pore water concentrations (e.g., Rutgers van der Loeff et al. 1984;Shum 1993;Gehlen and Van Raaphorst 2002), The present instantly induced (10-min treatment + 10-min slow stirring) DSi fluxes were high compared with the previous study conducted on longer time scales (12-70 h) in GoF (Almroth et al. 2009;Niemistö et al. 2018). In fact, the longer time scale treatments resulted in the decrease of the benthic DSi flux (Almroth et al. 2009;Niemistö et al. 2018). ...
Article
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Climate change is leading to harsher resuspension events in shallow coastal environments influencing benthic nutrient fluxes. However, we lack information on the quantitative connection between these fluxes and the physical forces. Two identical experiments that were carried out both in May and August provided novel knowledge on the instantaneous effects of resuspension with known intensity on the benthic dissolved inorganic (phosphate: DIP, ammonium: NH4⁺, nitrite+nitrate: NOx, silicate, DSi) and organic nutrient (phosphorus: DOP, nitrogen: DON, carbon: DOC) fluxes in the shallow soft bottoms of the archipelago of Gulf of Finland (GoF), Baltic Sea. Resuspension treatments, as 2 times the critical shear stress, induced effluxes of one to two orders of magnitude higher than the diffusive fluxes from the studied oxic bottoms. The presence of oxygen resulted in newly formed iron oxyhydroxides and the subsequent precipitation/adsorption of the redox-dependent nutrients (DIP, DSi, organic nutrients) affecting their fluxes. Resuspension-induced NH4⁺ and NOx fluxes were associated with the organic content of sediments showing the highest values at the organic rich sites. NH4⁺ showed the strongest responses to resuspension treatments in August, but NOx at the time of high oxygen concentrations in near-bottom water in May. Foreseen increases in the frequency and intensity of resuspension events due to climate change will most likely enhance the internal nutrient loading of the studied coastal areas. The fluxes presented here, connected to known current velocities, can be utilized in modeling work and to assess and predict the internal nutrient loading following climate change.
... The total flux exchange across the watersediment interface has been identified to be higher across a rippled interface than across a flat bed. The water exchange increases with increasing ripple slope and the strength of the ocean current (Shum, 1992;Shum, 1993). Tracer studies suggest that ripple-flow interactions generate groundwater circulation cells in marine sediments with flows infiltrating in the ripple troughs and exfiltrating from crests (Webb and Theodor, 1968) (Fig. 6). ...
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Extreme storms can cause rapid morphological changes that pose high risk to society (Sallenger 2000). Semiempirical and process-based models often are used to simulate storm-induced coastal processes (Roelvink et al. 2009, Palmsten & Holman 2012, Stockdon et al. 2014, Overbeck et al. 2017). However, there are few observations of surfzone waves and currents during extreme storms. Therefore, parameterizations often are calibrated by minimizing model-data errors for pre- to post-storm bathymetric and topographic changes, and the accuracy of the simulated processes during the storm is unknown. Here, surf, swash, and dune observations collected near Duck, NC, USA, will be used to investigate wave processes and dune erosion during the passage of recent (2015-2017) Hurricanes.
... Moreover, the experiments of Huettel et al. (1996) under unidirectional flow demonstrated that these interstitial flows are able to carry suspended clay particles into the bed, where these particles settle in the pores between the sand particles. Previous papers also indicated that this interstitial flow enters the ripple trough in a downward direction and leaves the ripple crest in an upward direction under oscillatory flows (Shum, 1993;Precht and Huettel, 2004). Our experiments show that not only currents but also waves are capable of generating through-bed clay-laden flow; these clay particles moved deeper into the bed below the wave ripple troughs than below the wave ripple crests (Figure 11). ...
Article
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Based on bed form experiments in a large-scale flume, we demonstrate that the rate of development of wave ripples on a mixed sand-clay bed under regular waves is significantly lower than on a pure-sand bed, even at clay fractions as low as 4.2%, and that this rate of development decreases exponentially from 4.2% to 7.4% clay. These experiments also showed that, despite the slow growth of the bed forms in the mixed sand-clay, the equilibrium length and height of the wave ripples were independent of the initial bed clay fraction. Given that the ripple crests were composed of pure sand at the end of all the experiments that started with well-mixed sand-clay, it is inferred that the clay was removed from the bed during the development of the wave ripples through winnowing into the water column, and possibly also by sieving into the subsurface, where the final clay fractions were found to be higher than the initial clay fractions. These clay removal processes are interpreted to have facilitated the wave ripples to reach equilibrium lengths and heights that are similar to those in pure sand. Clay-carrying pore flow initiated by pressure gradients between the wave ripple troughs and crests might also have contributed to the accumulation of clay in the sediment below the wave ripples. The formation of the clay-enriched “armoring” layer in the substrate is likely to further reduce erosion rates and could influence the dispersion of nutrients and pollutants in coastal seas.
... Later field observations confirmed high mineralization rates in shelf sediments with low organic matter content. [148][149][150] Shum et al. 151,152 first used reactive transport models to show that wave pumping is an efficient mechanism for delivering organic matter and dissolved oxygen to microbially active sediments. The presence of a rippled bed substantially increases the depth of oxygen penetration (particularly beneath ripple troughs) and increases rates of oxygen consumption and carbon mineralization. ...
Article
Near coasts, surface water–groundwater interactions control many biogeochemical processes associated with the critical zone, which extends from shallow aquifer to vegetative canopy. For example, submarine groundwater discharge delivers a significant fraction of weathering products such as silica and calcium to the world's oceans. Owing to changing fertilizer and land use practices, submarine groundwater discharge is also responsible for high nitrogen loads that drive eutrophication in marine waters. Submarine groundwater discharge is generally unmonitored due to its heterogeneous and diffuse spatial patterns and complex temporal dynamics. Here, we review the physical processes that drive submarine groundwater discharge at various spatial and temporal scales and highlight examples of interdependent critical zone processes. Like the inland critical zone, the coastal critical zone is undergoing rapid change in the Anthropocene. Disturbances include warming air and sea temperatures, sea‐level rise, increasing storm severity, increasing nutrient and contaminant inputs, and ocean acidification. In a changing world, it is more important than ever to understand complex feedbacks between dynamic surface water‐groundwater interaction, rocks, and life through long‐term monitoring efforts that extend beyond inland rivers to coastal groundwater. WIREs Water 2016, 3:706–726. doi: 10.1002/wat2.1157 This article is categorized under: Water and Life > Nature of Freshwater Ecosystems Science of Water > Water and Environmental Change Science of Water > Water Quality
... In the context of permeable sediments, a variety of interesting phenomena exists in the field of marine microbiology which can benefit from the knowledge available in porous media. Examples include but are not limited to topography effects in nutrient transport into deeper sediment layers (Huettel and Gust, 1992b), enhanced bottom transport by gravity waves (Shum, 1992a), reactive solute transport below rippled beds (Shum, 1992b), and tide-driven deep pore-water flow in intertidal sands flats (Røy and Lee, 2008). ...
... For more complex geometries, such as boundaries of variable ("wavy") elevation (e.g., a field furrowed by plowing, or a seafloor rippled by wave action) in which flow occurs in the fluid medium along the interface, Bernoulli's principle dictates that differences in pressure will exist between high and low points on the boundary (Vogel, 1994). Assuming that the solid medium is permeable, the result will be pressure-induced advection in the porous medium (Shum, 1992(Shum, , 1993Boudreau, 1997) (Fig. 3.24). This "ventilation" may be beneficial to resident organisms in the sediment or soil (see next section). ...
Chapter
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In this chapter we consider several aspects of passive diffusion in the environment. In this book, passive diffusion is defined to be the diffusion of chiefly abiotic objects that are not capable of performing random motion without the help of environmental turbulence. Likewise, active diffusion is defined to be the diffusion of objects, chiefly animals, that perform motion by themselves.
... The relation shows that circulation of water induced by surface waves is essentially a problem of the multiphase media dynamics (Biot 1956;Mei and Foda 1981). Water in a porous medium, which transports oxygen, plays an important role in maintaining the biological life in the beach sand (McLachlan 1989;Shum 1993;Weslawski et al. 2006). It was observed that natural sea-water filtration in bottom sand consists of two types of processes: physical and biological. ...
Chapter
Pharmaceuticals are biologically active and relatively persistent substances which have been recently recognized as a continuing threat to the aquatic environment. Numerous adverse effects may arise for aquatic non-target organisms from the presence of pharmaceutical residues. One of the main pharmaceutical contaminants are antibiotics which are in the environment in considerable concentrations and can have negative biological effects to marine microorganisms. Despite of this, the knowledge on antibiotics occurrence, behaviour and fate in the Baltic Sea is very limited. This study presents the preliminary results on tetracycline and oxytetracycline residues occurrence in the sediments collected from the Gulf of Gdańsk (southern Baltic Sea). Among the antibiotics, tetracyclines are one of the most popular class used for human and animal therapy and for animal breeding. The method for tetracyclines residues determination was optimized, using two types of Baltic sediments (sandy and muddy) spiked at nine concentration levels (from 1 to 1,000 ng g−1 d.w.) to achieve the best validation parameters. Acetonitrile and EDTA-McIlvaine extraction buffer solution (pH 4) (1:1) for extraction and tandem SPE technique with Discovery SAX and Oasis HLB cartridges for extracts clean-up were applied. Quantitative and qualitative determination of analysed antibiotics was performed with the use of liquid chromatography tandem mass spectrometry (LC-MS/MS) with electrospray ionization source in the positive mode. The recoveries for target antibiotics ranged from 78.8 to 131.1 % for tetracycline and 75.5–114.8 % for oxytetracycline. The LOD values ranged from 1.5 to 3.5 ng g−1 d.w. for tetracycline and from 1.2 to 2.2 ng g−1 d.w. for oxytetracycline. The developed method was applied in the determination of tetracyclines in six sediments collected in 2012 during r/v “Oceania” cruises. Oxytetracycline was identified in four of analyzed samples at concentrations from 21 to 625 ng g−1 d.w. Tetracycline was determined only in one sediment sample collected close to WWTP “Gdańsk Wschód” outlet (13.8 ng g−1 d.w.). None of the target compounds was identified in the accumulation area—the Gdańsk Deep.
... The concept of mixing in shallow marine sediments has been the focus of discussion for over two decades. A number of theories have been proposed that may cause this mixing, for example, bioirrigation and bioturbation (Korosec 1979, Emerson et al.1984, wave action and tidal pumping (Shum 1992, 1993, Li et al. 2000, and fluiddensity fluctuations (Rasmussen et al. 2003). Regardless of the process or processes that may cause this mixing, each one may be an important transport mechanism that can carry substantial amount of dissolved solutes from the sediments to the overlying water column. ...
... Other important mechanisms causing hyporheic flow that are less commonly studied in streams and rivers include turbulence, wave pumping, and biological processes that transport water and materials across the sediment interface. For example, currents and wave oscillations cause flow through permeable sediments which may be the dominant form of hyporheic exchange in shallow areas of lakes, estuaries, and nearshore ocean waters [Riedl et al., 1972;Harrison et al., 1983;Webster and Taylor, 1992;Shum, 1992Shum, , 1993Habel et al., 2002;Habel and Bagtzoglou, 2005;King et al., 2009]. Tides also drive periodic surface-subsurface exchange along the intertidal banks of coastal rivers [Harvey et al., 1987]. ...
... Other important mechanisms causing hyporheic flow that are less commonly studied in streams and rivers include turbulence, wave pumping, and biological processes that transport water and materials across the sediment interface. For example, currents and wave oscillations cause flow through permeable sediments which may be the dominant form of hyporheic exchange in shallow areas of lakes, estuaries, and nearshore ocean waters [Riedl et al., 1972;Harrison et al., 1983;Webster and Taylor, 1992;Shum, 1992Shum, , 1993Habel et al., 2002;Habel and Bagtzoglou, 2005;King et al., 2009]. Tides also drive periodic surface-subsurface exchange along the intertidal banks of coastal rivers [Harvey et al., 1987]. ...
... Variables that may influence circulation of water into and out of sediments include hydraulic gradient, sediment permeability, burrow mound height, ripple length and amplitude, and the wavelength, height, and period of water waves. Shum (1992Shum ( , 1993) demonstrated that water movement over a seabed can provide significant penetration of water into sediments if bedforms, such as ripples, are present. Recent work demonstrates that penetration of water into the sediments results from development of a pressure gradient into the sediment as water flows across the top of the bedforms (Huettel and Gust 1992;Huettel et al. 1996;Huettel and Webster 2001). ...
Article
Seepage meters, like most benthic flux chamber techniques, come with inherent concerns about how their presence may alter the environment and flow regimen of the benthic boundary layer and underlying sediments. Flow due to wave and current movement across topographic features induces a downward and upward flow field within the sediments surrounding the feature. We found this Bernoulli-induced flow is a real, but maybe minor, component of measured advection using seepage meters. This study was conducted in a Florida coastal lagoon to test the physical forcing mechanisms that may influence seepage measurements from sediments. Calculated Bernoulli seepage was within the measured background (∼1 to 2 cm day-1) expected from seepage meters when a plastic barrier beneath the device is used to inhibit natural seepage contributions. Nearby seepage measurements made with Lee-type seepage meters placed directly in the sediments ranged from 1 to 12 cm day -1. Thus, when seepage flow is very slow from sediments, Bernoulli-induced seepage may obscure the measurement. However, this study demonstrates that seepage in the Indian River Lagoon must be driven by forces other than Bernoulli-induced (pumped) flow. Suggestions for these forcing mechanisms highlight the uncertainty of the water source(s) in seepage measurements. In these Florida lagoon sediments, bioirrigation and terrestrial groundwater inputs are the most likely drivers, depending on distance from shore, benthic community composition, and continental recharge. Seepage measurements can be an excellent measure of advection in shallow-water marine sediments if Bernoulli-induced seepage is taken into account either experimentally or calculated based on local hydrographic and meteorological data. © 2006, by the American Society of Limnology and Oceanography, Inc.
... Other important mechanisms causing hyporheic flow that are less commonly studied in streams and rivers include turbulence, wave pumping, and biological processes that transport water and materials across the sediment interface. For example, currents and wave oscillations cause flow through permeable sediments which may be the dominant form of hyporheic exchange in shallow areas of lakes, estuaries, and nearshore ocean waters [Riedl et al., 1972;Harrison et al., 1983;Webster and Taylor, 1992;Shum, 1992Shum, , 1993Habel et al., 2002;Habel and Bagtzoglou, 2005;King et al., 2009]. Tides also drive periodic surface-subsurface exchange along the intertidal banks of coastal rivers [Harvey et al., 1987]. ...
Article
Fifty years of hyporheic zone research have shown the important role played by the hyporheic zone as an interface between groundwater and surface waters. However, it is only in the last two decades that what began as an empirical science has become a mechanistic science devoted to modeling studies of the complex fluid dynamical and biogeochemical mechanisms occurring in the hyporheic zone. These efforts have led to the picture of surface-subsurface water interactions as regulators of the form and function of fluvial ecosystems. Rather than being isolated systems, surface water bodies continuously interact with the subsurface. Exploration of hyporheic zone processes has led to a new appreciation of their wide reaching consequences for water quality and stream ecology. Modern research aims toward a unified approach, in which processes occurring in the hyporheic zone are key elements for the appreciation, management, and restoration of the whole river environment. In this unifying context, this review summarizes results from modeling studies and field observations about flow and transport processes in the hyporheic zone and describes the theories proposed in hydrology and fluid dynamics developed to quantitatively model and predict the hyporheic transport of water, heat, and dissolved and suspended compounds from sediment grain scale up to the watershed scale. The implications of these processes for stream biogeochemistry and ecology are also discussed.
... Seepage meters have been used to quantify SGD under a variety of conditions in many nearshore coastal environments and lakes over the years (Lee 1977;Bokuniewicz 1992;Cable et al. 1997). However, these devices have also drawn concerns with regard to the Bernoulli-type flow induced around the seepmeters (Shum 1992;1993). Such flow was suggested to be an important source of artifacts in a study conducted in the Florida Keys . ...
Article
Submarine groundwater discharge (SGD) assessments conducted both in the laboratory and at a field site in the northeastern Gulf of Mexico, using a continuous-heat type automated seepage meter (seepmeter) have shown that the device has the potential of providing long-term, high-resolution measurements of SGD. The improvements on the device using a simple inexpensive laboratory set up, have shown that: (1) connecting an extension cable to the seepmeter has a negligible effect on its measuring capability and, (2) influence of very low temperature (≤ 3 ºC) on seepmeter measurements can be accounted for by conducting calibrations at such temperatures prior to field deployments and, (3) salinity had no significant effect on the performance of the seepmeter. Calibration results from fresh water and sea water showed close agreement at a 95% confidence level significance between the data sets from the two media (R2 = 0.98). The observed artifacts on seepmeter measurements associated with Bernoulli-induced flow, the vertically directed flow arising due to water movement across topographic features can significantly be reduced by burying (or submerging) the seepmeter to nearly the same level as the sediment topography. While the study revealed that in general wind speeds > 6 m/s were associated with enhanced SGD measurements in seepmeters with buried and unburied benthic chambers, the influence was greater in the unburied meters, and more pronounced for SGD rates < 2 cm/day. Comparatively, the seepmeter SGD measurements provided data that are comparable to manually-operated seepage meters, the radon geochemical tracer approach, and an electromagnetic (EM) seepage meter. Study of the Sarasota Bay (SB) system revealed SGD advection rates ranging from 0.7 to 24.0 cm/day, except for rare isolated hot spot occurrences where higher rates were observed. In general, SGD estimates were relatively higher in the middle and south regions (5.9 – 24.0 cm/day) compared to the north region (0.7 – 5.9 cm/day). Although no obvious seawater nutrient concentration trend was revealed, the average N/P ratio was higher in the north compared to the middle and south regions of the SB system. The importance of SGD was evident in that about 40% of the regional nutrient fluxes were observed in the north while ~ 60% occurred in the middle and south regions combined. The latter two regions also had the highest overall nutrient flux per water volume ratio, compared to the north region, thus making them potentially more vulnerable to eutrophic conditions. On average, we estimate about 27% of total dissolved N in the SB system was derived via SGD.
... This flow significantly increases the exchanges of solute species across the sediment-water interface (Simmons, 1992;Shum and Sundby, 1996;Moore et al., 1999;Moore et al., 2002;Taniguchi, 2002;Gibbes et al., 2008). The biogeochemical reactions that act in these permeable sediments (dissolution, precipitation, remineralization processes and redox reactions) are strongly dependent on pore water flow (Shum, 1993;Falter and Sansone, 2000;Precht et al., 2004;Cook et al., 2007;Spiteri et al., 2008, Anschutz et al., 2009. Consequently, permeable sediments represent a key component of biogeochemical cycles. ...
Article
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Along the beach we can observe tidal variations who lead to a runoff of seawater into sand beach, this infiltration infer some geochemical reactions that we want to quantify. We have developed a 2D numerical model that couples the non-linear Richards'equation for describe runoff into beach permeable sediment with transport-diffusion equations submitted to tides influence. The flow into the sediment is described by the Richards' equation which generalizes the Darcy's law for variably-saturated porous media. The velocity field and the watertable location, deduced from the numerical resolution of the Richards' equation, are introduced into the transport diffusion-equation. Tidal oscillations are modeled as a sinusoidal pressure boundary condition along the beach slope. Both flow characteristics and concentration are solved by finite element method. Numerical results have been compared with concentration measured in the Truc Vert beach located along the Atlantic coast.
... The 3-5 cm h À1 wave-induced porewater advective velocities inferred in this study compare well with the results of the few previous studies of waveinduced porewater circulation (Table 1). Notably, porewater advective velocities measured by Riedl et al. (1972) and Shum (1993) are both similar in magnitude, and appear to be typical of finer grained sandy sediments. ...
Article
This research (1) integrated a fluorescent dye injection and monitoring system for measuring the mixing of a fluorescent dye tracer (fluorescein) in permeable (sandy) sediments with a cabled ocean observatory, Kilo Nalu, Oahu, Hawaii, and (2) used this system to conduct remotely controlled in situ measurements of wave-enhanced porewater mixing in a physically well-characterized wave-dominated setting. Laboratory results indicated that the fiber-optic sensor is effective at measuring fluorescence-traced enhanced mixing in sandy sediments. Observed dye mixing, driven by paddle-generated surface waves in a laboratory wave channel was 2 3 orders of magnitude greater than molecular diffusion, and decreased with depth in the sediments. Similarly, field experiments used a remotely controlled submersible syringe pump for fluorescent tracer injection into sediment that was monitored with a fiber-optic sensor. These experiments were carried out at 10 m water depth, with mean wave heights of 0.3 1.5 m and periods of ˜15 s. At 15 cm sediment depth, transport rates of 0 5 cm h-1 were measured, with maximum dispersion coefficients 2 3 orders of magnitude faster than sedimentary molecular diffusion. Hydrodynamic measurements collected simultaneously via Kilo Nalu correlated with porewater transport, with significant wave height and diffusion having the strongest covariation.
... Shallow-water waves can increase exchange between porewater and overlying water up to 3 orders of magnitude more than the exchange by molecular diffusion (Precht & Huettel 2003). As a result of wave action, porewater is released from ripple crests, and overlying water is inundated into ripple troughs (Shum 1992, 1993, Ziebis et al. 1996a, Precht & Huettel 2003). Possibly, our results directly captured these processes using the ADV and the oxygen microelectrode. ...
Article
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High temporal–resolution fluctuations in oxygen concentration and vertical velocity were measured over an intertidal sandflat (water depth <69 cm) using an oxygen microelectrode and an acoustic Doppler velocimeter, in order to estimate oxygen flux across the sediment–water interface using the eddy-correlation method. The effect of flux estimate procedures, including noise removal and extraction of fluctuating components, was investigated. The estimated oxygen effluxes from the sediment ranged from –3.2 to 6.6 mmol O2 m–2 h–1 in the light and from –14.5 to –6.6 mmol O2 m–2 h–1 in the dark. The oxygen-uptake fluxes in the dark were markedly higher than those measured by a conventional enclosure technique. High-frequency turbulence and/or noise (>5 Hz) observed in the vertical velocity and oxygen concentration data made little contribution to the total oxygen flux (0 to 7%). However, trends (steady change over a longer time scale) caused significant artifacts in the estimated fluxes for several cases. Thus, removal of trends from raw time-series data is recommended. The co-spectrum of the fluctuating components of vertical velocity and oxygen concentration revealed that the oxygen flux at a frequency band between 0.3 and 1.4 Hz (at a period from 0.7 to 3.3 s) was a major contributor to the total oxygen flux. This frequency was consistent with the dominant frequency of vertical velocity, indicating that transport and exchange of porewater and overlying water by wind-induced waves may be crucial processes to dissolved oxygen flux between permeable sandy sediments and shallow waters.
... The discrepancy between budget estimates and experimental data of different origin cannot easily be explained. Enhanced sediment-water exchange due to wave action in the actual field situation compared to the different experimental setups may play a role, in particular for permeable sandy Wadden Sea tidal flats (Rutgers van der Loeff 1981; Shum 1993;Hüttel et al. 1998). ...
Article
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In the eutrophic Marsdiep, the westernmost tidal inlet of the Wadden Sea, phytoplankton biomass, and production almost doubled at the end of the 1970s and remained high ever since. Principal component analysis of 21-yr (19741994) high-resolution time series of the 32 most numerous marine algal species revealed that the phytoplankton community changed drastically both between 1976 and 1978 and again between 1987 and 1988, and that it was relatively stable in-between (1974-1976, 1978-1987) and thereafter (1988-1994). These major changes in phytoplankton biomass and species composition coincided with changes in absolute and relative (TN:TP) nutrient concentrations. During the summer of 1977, the Marsdiep shifted from a rich, but phosphorus-controlled system to an even more eutrophic but nitrogen-controlled environment. The system reshifted towards P-control between 1987 and 1988. The coincidence of the shifts in relative nutrient concentrations and phytoplankton species composition implies a strong causal relationship between TN:TP ratios and phytoplankton community structure. Among diatoms, the observed increase in phytoplankton biomass under eutrophic N-controlled conditions was particularly due to an increase of the abundance of larger algae. Our results indicate that the N budget of the area is correlated with the community structure, suggesting enhanced loss of nitrogen to the sediment through increased deposition of larger algal cells.
... Nonetheless, quantifying flux magnitudes and assessing microbial metabolism in natural settings depends on the extent of local interstitial circulation patterns , which could be co-driven by wave motion. Modeling studies demonstrated how, apart from being able to translate orbital motion to the porewater (Shum 1992), waves might also promote longitudinal oxygen gradients of the same order of magnitude as the vertical gradients measured in natural settings (Shum 1993). Even at low energy settings (waves 10 cm high) porewater velocities in shallow ripple fields, as measured in situ using fluorescent tracers (), demonstrated that advective transport through the sediment –water interface exceeded molecular diffusion by 3 orders of magnitude. ...
Article
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The concept of assessing benthic biogeochemical standing stocks as an ecologically relevant parameter has been challenged by one of a dynamic nature: in sands, low standing stocks may mean low carbon burial efficiency due to rapid turnover aided by advective interfacial flows. This concept suggests that a large, diverse and very adaptable population of microbes is present in sands, and that these have a previously unforeseen biogeochemical importance. This view has profound consequences for the scientific outlook on the ecological role of permeable sediments and on the methodological strategies used in the study of coastal ecosystems. Based on a review of the current literature and results gathered at a coastal setting, progress within this new paradigm is examined and underlying questions are speculated upon. The evidence so far shows that, in permeable sediments and at timescales of seconds to a few hours, the dynamics of advective flow to a large extent control microbial diversity, the rates of microbial processes, the size of organic and inorganic pools, and even their respective changes. The importance of obtaining further information on the microbial diversity, the structure of different communities present in sands and their link to biogeochemical function arises from recent field studies. What is also clear from the available evidence is that only a combination of different techniques and approaches, some of which are under development on the fringes of previously almost water-tight research areas, will further understanding of the important functional role of microbial populations in benthic ecosystems.
... This flow significantly increases the exchanges of solute species across the sediment-water interface (Simmons, 1992; Shum and Sundby, 1996; Moore et al., 1999; Moore et al., 2002; Taniguchi, 2002; Gibbes et al., 2008). The biogeochemical reactions that act in these permeable sediments (dissolution, precipitation, remineralization processes and redox reactions) are strongly dependent on pore water flow (Shum, 1993; Falter and Sansone, 2000; Precht et al., 2004; Cook et al., 2007; Spiteri et al., 2008, Anschutz et al., 2009). Consequently, permeable sediments represent a key component of biogeochemical cycles. ...
... The relation shows that circulation of water induced by surface waves is essentially a problem of the multiphase media dynamics (Biot 1956;Mei and Foda 1981). Water in a porous medium, which transports oxygen, plays an important role in maintaining the biological life in the beach sand (McLachlan 1989;Shum 1993;Weslawski et al. 2006). It was observed that natural sea-water filtration in bottom sand consists of two types of processes: physical and biological. ...
Article
Full-text available
For tideless seas, the groundwater flow in shallow water is governed entirely by the surface wave dynamics on the beach. As waves propagate towards the shore, they become steeper owing to the decreasing water depth and at some depth, the waves lose their stability and start to break. When waves break, waves energy is dissipated and the spatial changes of the radiation stress give rise to changes in the mean sea level, known as the set_up. Longuet-Higgins demonstrated that the mean on-shore pressure gradient due to wave set_up driver a groundwater circulation within the beach zone. Water infiltrates into the coastal aquifer on the upper part of the beach near the maximum run_up, and exfiltration occurs on the lower part of the beach face near the breaking point. The velocity of the flow as well as the amount of water circulation within the permeable beach is important for the biological status of the organisms inhabiting the beach sand, transporting organic matter and dissolved oxygen to beach body , influence on sediment transport at shallow waters and stability of engineering structures. The paper is organized in two main parts. The first part of the paper is dedicated to the formulation of the mathematical model for attenuation of pore pressure in shallow water zone when wave breaking is present. Solution of system of nonlinear equations for wave propagation on permeable beach is compared with experimental data. The main purpose of the experimental part of the paper is dealing with the analysis of sets of good quality data on pore pressure data which will serve for comparison with theoretical results. In particular, two set of data are discussed, namely data obtained during measurements in the shallow water at the Coastal Station Lubiatowo (Poland) in Southern Baltic Sea and data from the large scale laboratory experiments in the Grossen Wallenkanal in Hannover (Germany). In the first case, the set of transmittance functions between the surface waves and pore pressure in the soil at various levels and transmittance functions between the pressures recorded at different levels are compared with the developed theory. During the laboratory experiment in Hannover two components of pore pressure were clearly distinguished i.e. in the zone of non-breaking waves only so called phase resolving component induced by surface waves is observed and in the surf zone two types of pore pressure are present : phase resolving and so called phase averaged , induced by set-up phenomena (mean water level rising). The total pressure recorded by the pressure gauges is a summation of the phase-averaged and the phase-resolving components. The pore pressure gradients provide also valuable information on the kinematics of groundwater flow in the beach body. In the experiment we are not able to measure the flow velocity in a straightforward manner, but the flow velocity can be estimated from the recorded pressure gradients using the formulas resulting from the theoretical solution.
... Mixing across the sediment-water interface can occur both at the outflow face as well as offshore of the outflow face to depths that depend on the mixing processes (Figure 1). These processes include density-driven convection [Bokuniewicz et al., 2004; Moore and Wilson, 2005], pumping across the sediment-water interface through tidal fluctuations [Riedl et al., 1972; Nielsen, 1990], wave set up [Shum, 1992 [Shum, , 1993 Li et al., 1999], flow across positive features on the seafloor [Huettel and Gust, 1992; Huettel et al., 1998], and irrigation by burrowing organisms [Dworschak, 1981; Koike and Mukai, 1983; Stamhuis and Videler, 1998; Meile et al., 2001; Cable et al., 2006]. [4] A variety of techniques are used to measure SGD. ...
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The changes that sediments undergo after deposition are collectively known as diagenesis. Diagen-esis is not widely recognized as a source for mathemat-ical ideas; however, the myriad processes responsible for these changes lead to a wide variety of mathematical models. In fact, most of the classical models and meth-ods of applied mathematics emerge naturally from quan-tification of diagenesis. For example, small-scale sedi-ment mixing by bottom-dwelling animals can be described by the diffusion equation; the dissolution of biogenic opal in sediments leads to sets of coupled, nonlinear, ordinary differential equations; and modeling organisms that eat at depth in the sediment and defecate at the surface suggests the one-dimensional wave equa-tion, while the effect of waves on pore waters is governed by the two-or three-dimensional wave equation. Diage-netic modeling, however, is not restricted to classical methods. Diagenetic problems of concern to modern mathematics exist in abundance; these include free-boundary problems that predict the depth of biological mixing or the penetration of O 2 into sediments, algebra-ic-differential equations that result from the fast-revers-ible reactions that regulate pH in pore waters, inverse calculations of input functions (histories), and the deter-mination of the optimum choice in a hierarchy of pos-sible diagenetic models. This review highlights and ex-plores these topics with the hope of encouraging further modeling and analysis of diagenetic phenomena.
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A theory is developed for the loss in wave energy as a result of currents induced in a permeable sea bottom by wave action. This loss in energy is reflected as a reduction in the wave height as the waves move shoreward. It is shown by numerical examples that this reduction may be on the order of ten per cent on very flat beaches for wave periods and bottom materials commonly found in the ocean.
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The total exchange across the water-sediment interface, averaged over one wave period, is significantly higher across a rippled interface than across a flat bed. This difference increases with increasing ripple slope and the strength of the wave motion, and it decreases with increasing thickness of the sediment layer relative to the length of the gravity wave. Since rippled bed forms are commonly found in coastal waters, the increase in the total exchange across a rippled water-sediment boundary can enhance the exchange of solutes due to "wave pumping'. Immediately below the water-sediment interface, circulation cells with net advective transport over a wave period are found. -from Author
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We suggest that dispersion in a saturated porous medium subject to a fluctuating pressure gradient can occur as a result of the processes of shear (Taylor) dispersion and what we will label rotational dispersion. In contrast to shear dispersion, rotational dispersion does not rely on molecular diffusion to be effective but requires that the direction of the pressure gradient rotates with time. Such rotational gradients are ubiquitous in nature, occurring whenever a pressure wave propagates across the surface of a porous medium such as soil or marine sediments. The efficiency and character of rotational dispersion is investigated using Monte Carlo simulations of the dispersal of clouds of particles through a highly idealized porous medium. These simulations demonstrate that rotational dispersion behaves as a diffusive process and that it can be many times more effective than molecular diffusion or shear dispersion as a transport mechanism. The results of the theory were tested experimentally using a wave tank with a bed of sand as the porous medium. These experiments demonstrate that passing waves can greatly enhance solute transfer between the bed and the overlying water. Furthermore, the measured increases in solute transfer rates are quantitatively consistent with the predictions obtained from the theory of rotational dispersion presented herein.
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We show how surface wave action can increase the rate of transport of solutes into a sandy seabed by orders of magnitude via a mechanism known as mechanical dispersion. It is most effective for large sediment permeability and thickness, high surface wave amplitude, and shallow water. A method for setting up the appropriate transport equation, valid when dispersion is well developed, is given. Its dispersion term contains two mechanical dispersion parameters that can be estimated roughly from existing data when the sediments are well sorted. The dispersion can be inhomogeneous and anisotropic in homogeneous, isotropic sediments. The effect of surface wave action on transport into sediments on the eastern U.S. shelf is shown to be significant under certain conditions. The effect on thawing of subsea permafrost beneath Prudhoe Bay, Alaska, seems negligible.
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Whole‐sediment molecular difusion coefficients ( D s ) for tritiated water in pore waters of various lakes were determined experimentally by adding ³ H 2 O to the overlying water of asphyxiated (without bioirrigation) and unasphyxiated cores and measuring the resulting pore‐water profiles after a period of time. Our objectives were to determine the relationship between D s and D o (the diffusion coefficient in pure water) in sediments with a wide range of porosities and organic contents and to examine the influence of bioirrigation on solute transport and on the predictability of D s . We found that D o /D s did not change as much as expected with increasing porosity, i.e. in low‐porosity sediments the average D o /D s was 1.8±0.1 and in high‐porosity sediments it was 1.5±0.2. We also found that the effect of faunal activity on the predictability of D s was only significant in sediments with high (14,000 ind. m ⁻² ) invertebrate populations. This result means that in most freshwater sediments, the sediment diffusion coefficient can be predicted reliably from the molecular diffusion coefficient at in situ temperature.
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Benthic oxygen fluxes calculated from in situ microelectrode profiles arc compared with benthic flux chamber O2 uptake measurements on a transect of eight stations across the continental shelf and three stations on the slope of Washington State. Station depths ranged from 40 to 630 m and bottom-water oxygen concentrations were 127-38 FM. The fluxes measured by the two methods were similar on the slope, but on the shelf, the chamber flux exceeded the microelectrode flux by as much as a factor of 3-4. We attribute this difference to pore-water irrigation, a process which apparently accounts for the oxidation of a significant amount of organic C in the continental shelf sediments. Combining our diffusive flux data with other data demonstrates clearly that the bottom- water oxygen concentration must play some significant role in determining the sedimentary oxygen consumption rate. Numerical simulation of the microelectrode 0, profiles suggests that roughly half the diffusive 0, flux must be consumed within - 1 mm of the sediment surface. If this conclusion is correct, then the magnitude of the diffusive flux depends both on the bottom-water oxygen concentration and on the supply rate of labile C to the sediment surf'ace.
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Convective flow within bed sediment is an important mechanism enhancing the mobility of chemicals, both natural and anthropogenic, and thermal energy in this region of aquatic environments1,2. Experimental observations indicated that significant in-bed convection currents can be generated by water flowing over small obstructions on the surface of a porous bed. Significant porewater flow is induced by imbalances in pressure over distance, generated by differences in temperature, density and hydrostatic head3. We demonstrate here by laboratory simulation and a vignette model that flow over bedforms induces additional pressure imbalances which generate significant and complex convection currents within porous bed sediment. A model is proposed for estimating Peclet numbers for this effect/The results have particular application to chemical transport in the upper sediment layer that is often the recipient of high levels of chemical contamination. Although our analysis reflects river conditions, the results may have wider applications and include submarine currents moving over dune-like mega ripples on the ocean floor.
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Sediment depth distributions and fluxes of dissolved chemical substances have been interpreted as being a result of reaction, diffusion, bioturbation and irrigation1,2. However, several studies suggest that density-driven convection3 can alter the depth distribution and increase the fluxes of dissolved substances when density decreases below the sediment surface4–7. We present here temperature–time series measurements for a freshwater lake undergoing autumn cooling. These are the first in situ observations of heat transport due to motion of interstitial waters over periods of less than 1 hour. Density, calculated from temperature, decreases with depth at the time and place that this motion occurs.
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THE diffusive boundary layer (DBL) is a thin (≲1 mm) film of water that covers the sea floor, and through which molecular diffusion is the dominant transport mechanism for dissolved material. The diffusive fluxes are a measure of the rate of remineralization of organic matter in the sea bed, and of the dissolution or precipitation of minerals such as carbonates or metal oxides. Here we report detailed in situ analyses of chemical microgradients within the DBL, using a microelectrode profiling instrument with a spatial resolution of 25–50 µm. Over a Danish coastal sediment at 15 m water depth, the DBL was 0.5-0.7 mm thick and showed both stochastic fluctuations of oxygen distribution owing to boundary-layer turbulence and harmonic oscillations resulting from surface waves. A three-dimensional mapping of the DBL and the corresponding sediment surface showed that the DBL was spatially well defined and followed surface contours, but smoothed out sediment microtopographic features smaller than 100 µm. The three-dimensional oxygen diffusive flux across the sediment/water interface was about 2.5 times higher than that calculated from a simple one-dimensional diffusion model. These results indicate that benthic oxygen consumption and other fluxes can be studied by direct measurement of DBL microgradients at the undisturbed sea floor.
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PRELIMINARY tests carried out on the permanently submerged amphioxus sands at Le Racou (Roussillon) on the Mediterranean coast of France on August 27, 1968, have shown that turbulence and differences in hydrostatic pressure at the seabed caused by the passage of surface waves produce water movements in permeable deposits. These chiefly quartz sands were at a depth of 3 m and had the approximate grain size distribution, determined from samples taken from the area at this depth, shown in Table 1. Sand ripples ran north to south across the line of approach of the waves of maximum fetch from the east and were approximately parallel to the shore. The crests of the ripples were 75 cm apart and separated by a more or less flat trough 30 cm broad. The height from trough to crest of the ripple was 12–15 cm. The hand could be thrust into the sand without excessive resistance to a depth of about 7.5 cm on the crest of the ripple and 5 cm in the trough, indicating unconsolidated conditions to these depths. It was relatively calm at the time of the test, the wave direction being from the east, that is across the sand ripples, and the wave height from trough to crest about 50 cm.
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Pressure waves moving across the sand beds at 3 m depth at Le Racou caused circulation of water in the unconsolidated sand layer. The pattern of circulation apparently depended on the depth of the unconsolidated layer and the form of the sand ripples. The rate of flow was determined by the height of the surface waves and the permeability of the deposit. The physical properties of the sands at the crests and in the troughs of the ripples were in part determined by the organic component which in turn would have been governed largely by the patterns and flow rates of the interstitial currents supplying organic material and nutrients to the sand. Differences in the physical properties of the sediment at the crest and in the trough of a ripple due to the organic component were such as would have affected substantially the prevalence of Branchiostoma lanceolatum and harpacticoid copepods. Sand properties dependent on the organic component would clearly be subject to change in accordance with the prevailing weather conditions and hence the supply of organic material. The role of irrigated sands in the removal of organic material from shallow seas is discussed.
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This paper is concerned with the dispersion of a dynamically neutral material quantity in a fluid flowing throuh a porous medium. The medium is regarded as an assemblage of randomly orientated straight pores, and it is assumed that the path of a marked element of the material quantity consists of a sequence of statistically independent steps whose direction and duration vary in some random manner. The probability density function for the displacement of a single marked element is calculated and values for the dispersion of a cloud of marked elements then follow.
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Sandy subtidal sediments are part of the earth's largest filter system. Water flow through bottom sediments is driven by wave action on the sea surface. The mechanisms involved are described, including a theoretical deduction and field measurements. As an example, the total water exchange through part of the West Atlantic shelf is computed and the influence of the phenomenon is discussed from a biological point of view and with regard to its importance for the world's oceans.
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The diagenesis of dissolvable opal in non-mixed sediments of anoxic and dysaerobic basins is described by a set of couple differential conservation equations. A semi-analytical solution is developed for the special case of the steady-state constant-porosity diagenesis. This approach reduces the problem of predicting opal accumulation to one of solving a single nonlinear algebraic equation and provides and explicit equation for the critical opal flux below which no opal would be preserved. It also allows the derivation of a simple asymptotic model valid when a small fraction of incoming opal dissolves, i.e. <50%.
A theory of dispersion in a porous medium
  • Saffman