Tidal Characteristic Numbers of Tracer Load: Difference between revisions
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==Motivation== | ==Motivation== | ||
The calculation as well as the graphic visualization of various tidal characteristic numbers of tracer concentration and also for the advective transport of tracer contributes to an improved understanding of tidally dominated transport processes in estuaries. Spatial variations of tracer concentration, advective transport of tracer load by means of flood and ebb currents can be highlighted for areas like coastal seas and estuaries as well. | The calculation as well as the graphic visualization of various tidal characteristic numbers of tracer concentration and also for the advective transport of tracer contributes to an improved understanding of tidally dominated transport processes in estuaries. Spatial variations of tracer concentration, advective transport of tracer load by means of [[flood]] and ebb currents can be highlighted for areas like coastal seas and estuaries as well. | ||
* As the calculations are performed separately for the durations of ebb- and flood-current it can be shown that transport paths can differ significantly for the two tidal phases. From this one can get additional insight with respect to the relevant transport mechanisms dominated by the tidal currents. This can be related to locally varying flood-ebb asymmetries for ebb volume and flood volume. Also the presence of horizontal gradients can contribute to this effect. | * As the calculations are performed separately for the durations of ebb- and [[flood]]-current it can be shown that transport paths can differ significantly for the two tidal phases. From this one can get additional insight with respect to the relevant transport mechanisms dominated by the tidal currents. This can be related to locally varying [[flood]]-ebb asymmetries for [[ebb volume]] and [[flood]] volume. Also the presence of horizontal gradients can contribute to this effect. | ||
* The variation of tracer concentration resulting from the local maximum as well as the local minimum of tracer concentration can be quite large. This is a consequence of the different availability of tracer load, e. g. inside or outside of the turbidity maximum. The value for the local tracer concentration variation is mainly the result of the product between the horizontal tracer concentration gradient and the lagrangian drift of a water particle during a complete tidal cycle, but also effected by the strong spatial variation of deposition and erosion of tracers throughout the estuary. | * The variation of tracer concentration resulting from the local maximum as well as the local minimum of tracer concentration can be quite large. This is a consequence of the different availability of tracer load, e. g. inside or outside of the turbidity maximum. The value for the local tracer concentration variation is mainly the result of the product between the horizontal tracer concentration [[gradient]] and the lagrangian drift of a water particle during a complete tidal cycle, but also effected by the strong spatial variation of deposition and [[erosion]] of tracers throughout the [[estuary]]. | ||
An automatic analysis of all tidal characteristic numbers of tracer load is carried through by the computer programs [[TDKSF]] and [[NCANALYSE]]. | An automatic analysis of all tidal characteristic numbers of tracer load is carried through by the computer programs [[TDKSF]] and [[NCANALYSE]]. | ||
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=====Advective Flood Transport of Tracer Load===== | =====Advective Flood Transport of Tracer Load===== | ||
Exact amount of tracer load (with exception of roundoff) which passes a certain cross section during flood current due to advection. This quantity makes use of the normal flow of tracer load only, which is orthogonal to the flow face. Reconstruction of the total vector by means of projection is left to visualization programs (e. g. [[NCPLOT]]). | Exact amount of tracer load (with exception of roundoff) which passes a certain cross section during [[flood]] current due to advection. This quantity makes use of the normal flow of tracer load only, which is orthogonal to the flow face. Reconstruction of the total vector by means of [[projection]] is left to visualization programs (e. g. [[NCPLOT]]). | ||
=====Diffusive Flood Transport of Tracer Load===== | =====Diffusive Flood Transport of Tracer Load===== | ||
Exact amount of tracer load (with exception of roundoff) which passes a certain cross section during flood current due to (turbulent) diffusion. This quantity makes use of the normal flow of tracer load only, which is orthogonal to the flow face. Reconstruction of the total vector by means of projection is left to visualization programs (e. g. [[NCPLOT]]). | Exact amount of tracer load (with exception of roundoff) which passes a certain cross section during [[flood]] current due to (turbulent) diffusion. This quantity makes use of the normal flow of tracer load only, which is orthogonal to the flow face. Reconstruction of the total vector by means of [[projection]] is left to visualization programs (e. g. [[NCPLOT]]). | ||
=====Advective Flood Transport-Rate of Tracer Load===== | =====Advective Flood Transport-Rate of Tracer Load===== | ||
Exact transport rate of tracer load (with exception of roundoff) which passes a certain cross section during flood current due to advection. This quantity makes use of the normal flow of tracer load only, which is orthogonal to the flow face. Reconstruction of the total vector by means of projection is left to visualization programs (e. g. [[NCPLOT]]). On tidal flats this quantity is computed for the period of inundation only. | Exact transport rate of tracer load (with exception of roundoff) which passes a certain cross section during [[flood]] current due to advection. This quantity makes use of the normal flow of tracer load only, which is orthogonal to the flow face. Reconstruction of the total vector by means of [[projection]] is left to visualization programs (e. g. [[NCPLOT]]). On tidal flats this quantity is computed for the period of inundation only. | ||
=====Diffusive Flood Transport-Rate of Tracer Load===== | =====Diffusive Flood Transport-Rate of Tracer Load===== | ||
Exact transport rate of tracer load (with exception of roundoff) which passes a certain cross section during flood current due to (turbulent) diffusion. This quantity makes use of the normal flow of tracer load only, which is orthogonal to the flow face. Reconstruction of the total vector by means of projection is left to visualization programs (e. g. [[NCPLOT]]). On tidal flats this quantity is computed for the period of inundation only. | Exact transport rate of tracer load (with exception of roundoff) which passes a certain cross section during [[flood]] current due to (turbulent) diffusion. This quantity makes use of the normal flow of tracer load only, which is orthogonal to the flow face. Reconstruction of the total vector by means of [[projection]] is left to visualization programs (e. g. [[NCPLOT]]). On tidal flats this quantity is computed for the period of inundation only. | ||
=====Mean Tracer Load Flood Current===== | =====Mean Tracer Load Flood Current===== | ||
Mean value of tracer load during flood current duration of a tide.<br /> | Mean value of tracer load during [[flood]] current duration of a tide.<br /> | ||
<!-- [[Example figures: Mean tracer load flood current]]. <br /> --> | <!-- [[Example figures: Mean tracer load flood current]]. <br /> --> | ||
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=====Advective Ebb Transport of Tracer Load===== | =====Advective Ebb Transport of Tracer Load===== | ||
Exact amount of tracer load (with exception of roundoff) which passes a certain cross section during ebb current due to advection. This quantity makes use of the normal flow of tracer load only, which is orthogonal to the flow face. Reconstruction of the total vector by means of projection is left to visualization programs (e. g. [[NCPLOT]]). | Exact amount of tracer load (with exception of roundoff) which passes a certain cross section during ebb current due to advection. This quantity makes use of the normal flow of tracer load only, which is orthogonal to the flow face. Reconstruction of the total vector by means of [[projection]] is left to visualization programs (e. g. [[NCPLOT]]). | ||
=====Diffusive Ebb Transport of Tracer Load===== | =====Diffusive Ebb Transport of Tracer Load===== | ||
Exact amount of tracer load (with exception of roundoff) which passes a certain cross section during ebb current due to (turbulent) diffusion. This quantity makes use of the normal flow of tracer load only, which is orthogonal to the flow face. Reconstruction of the total vector by means of projection is left to visualization programs (e. g. [[NCPLOT]]). | Exact amount of tracer load (with exception of roundoff) which passes a certain cross section during ebb current due to (turbulent) diffusion. This quantity makes use of the normal flow of tracer load only, which is orthogonal to the flow face. Reconstruction of the total vector by means of [[projection]] is left to visualization programs (e. g. [[NCPLOT]]). | ||
=====Advective Ebb Transport-Rate of Tracer Load===== | =====Advective Ebb Transport-Rate of Tracer Load===== | ||
Exact transport rate of tracer load (with exception of roundoff) which passes a certain cross section during ebb current due to advection. This quantity makes use of the normal flow of tracer load only, which is orthogonal to the flow face. Reconstruction of the total vector by means of projection is left to visualization programs (e. g. [[NCPLOT]]). On tidal flats this quantity is computed for the period of inundation only. | Exact transport rate of tracer load (with exception of roundoff) which passes a certain cross section during ebb current due to advection. This quantity makes use of the normal flow of tracer load only, which is orthogonal to the flow face. Reconstruction of the total vector by means of [[projection]] is left to visualization programs (e. g. [[NCPLOT]]). On tidal flats this quantity is computed for the period of inundation only. | ||
=====Diffusive Ebb Transport-Rate of Tracer Load===== | =====Diffusive Ebb Transport-Rate of Tracer Load===== | ||
Exact transport rate of tracer load (with exception of roundoff) which passes a certain cross section during ebb current due to (turbulent) diffusion. This quantity makes use of the normal flow of tracer load only, which is orthogonal to the flow face. Reconstruction of the total vector by means of projection is left to visualization programs (e. g. [[NCPLOT]]). On tidal flats this quantity is computed for the period of inundation only. | Exact transport rate of tracer load (with exception of roundoff) which passes a certain cross section during ebb current due to (turbulent) diffusion. This quantity makes use of the normal flow of tracer load only, which is orthogonal to the flow face. Reconstruction of the total vector by means of [[projection]] is left to visualization programs (e. g. [[NCPLOT]]). On tidal flats this quantity is computed for the period of inundation only. | ||
=====Mean Tracer Load Ebb Current===== | =====Mean Tracer Load Ebb Current===== | ||
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=====Advective Residual Transport of Tracer Load===== | =====Advective Residual Transport of Tracer Load===== | ||
Residual based on exact volume of tracer load (with exception of roundoff) which passes a certain cross section during a tidal cycle (flood current plus ebb current) due to advection. This quantity makes use of the normal flow of tracer load only, which is orthogonal to the flow face. Reconstruction of the total vector by means of projection is left to visualization programs (e. g. [[NCPLOT]]). | Residual based on exact volume of tracer load (with exception of roundoff) which passes a certain cross section during a tidal cycle ([[flood]] current plus ebb current) due to advection. This quantity makes use of the normal flow of tracer load only, which is orthogonal to the flow face. Reconstruction of the total vector by means of [[projection]] is left to visualization programs (e. g. [[NCPLOT]]). | ||
=====Diffusive Residual Transport of Tracer Load===== | =====Diffusive Residual Transport of Tracer Load===== | ||
Residual based on exact volume of tracer load (with exception of roundoff) which passes a certain cross section during a tidal cycle (flood current plus ebb current) due to diffusion. This quantity makes use of the normal flow of tracer load only, which is orthogonal to the flow face. Reconstruction of the total vector by means of projection is left to visualization programs (e. g. [[NCPLOT]]). | Residual based on exact volume of tracer load (with exception of roundoff) which passes a certain cross section during a tidal cycle ([[flood]] current plus ebb current) due to diffusion. This quantity makes use of the normal flow of tracer load only, which is orthogonal to the flow face. Reconstruction of the total vector by means of [[projection]] is left to visualization programs (e. g. [[NCPLOT]]). | ||
=====Advective Tidal Transport of Tracer Load===== | =====Advective Tidal Transport of Tracer Load===== | ||
Sum of individual transports (magnitudes) based on exact amount of tracer load (with exception of roundoff) which passes a certain cross section during a tidal cycle (flood current plus ebb current) due to advection. This quantity makes use of the normal flow of tracer load only, which is orthogonal to the flow face. | Sum of individual transports (magnitudes) based on exact amount of tracer load (with exception of roundoff) which passes a certain cross section during a tidal cycle ([[flood]] current plus ebb current) due to advection. This quantity makes use of the normal flow of tracer load only, which is orthogonal to the flow face. | ||
=====Advective Tracer Load Transport, Flood-Ebb-Ratio===== | =====Advective Tracer Load Transport, Flood-Ebb-Ratio===== | ||
Based on exact volume of tracer load (with exception of roundoff) which passes a certain cross section during a tidal cycle (flood current, ebb current) due to advection. Quantity is computed from the (face) normal components only. | Based on exact volume of tracer load (with exception of roundoff) which passes a certain cross section during a tidal cycle ([[flood]] current, ebb current) due to advection. Quantity is computed from the (face) normal components only. | ||
=====Advective Tracer Load Transport, Flood-Tide-Ratio===== | =====Advective Tracer Load Transport, Flood-Tide-Ratio===== | ||
Based on exact amount of tracer load (with exception of roundoff) which passes a certain cross section (flood current, flood current plus ebb current) due to advection. Quantity is computed from the (face) normal components only. | Based on exact amount of tracer load (with exception of roundoff) which passes a certain cross section ([[flood]] current, [[flood]] current plus ebb current) due to advection. Quantity is computed from the (face) normal components only. | ||
=====Advective Tracer Load Transport, Ebb-Tide-Ratio===== | =====Advective Tracer Load Transport, Ebb-Tide-Ratio===== | ||
Based on exact amount of tracer load (with exception of roundoff) which passes a certain cross section (ebb current, flood current plus ebb current) due to advection. Quantity is computed from the (face) normal components only. | Based on exact amount of tracer load (with exception of roundoff) which passes a certain cross section (ebb current, [[flood]] current plus ebb current) due to advection. Quantity is computed from the (face) normal components only. | ||
=====Maximum Tracer Load===== | =====Maximum Tracer Load===== | ||
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=====Mean Tracer Load Flood Current : Mean Tracer Load===== | =====Mean Tracer Load Flood Current : Mean Tracer Load===== | ||
Ratio between mean tracer load during flood current and mean tracer load during the full tidal cycle.<br /> | Ratio between mean tracer load during [[flood]] current and mean tracer load during the full tidal cycle.<br /> | ||
<!-- [[Example figures: mean tracer load flood current : mean tracer load]]. <br /> --> | <!-- [[Example figures: mean tracer load flood current : mean tracer load]]. <br /> --> | ||
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=====Mean Tracer Load Flood Current : Mean Tracer Load Ebb Current===== | =====Mean Tracer Load Flood Current : Mean Tracer Load Ebb Current===== | ||
Ratio between mean tracer load during flood current and mean tracer load during ebb current.<br /> | Ratio between mean tracer load during [[flood]] current and mean tracer load during ebb current.<br /> | ||
<!-- [[Example figures: mean tracer load flood current : mean tracer load ebb current]]. <br /> --> | <!-- [[Example figures: mean tracer load flood current : mean tracer load ebb current]]. <br /> --> | ||
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=====Advective Flood Transport of Tracer Load===== | =====Advective Flood Transport of Tracer Load===== | ||
Tracer load, which is transported by means of flood current through a cross section<br /> | Tracer load, which is transported by means of [[flood]] current through a cross section<br /> | ||
Example: not available. | Example: not available. | ||
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=====Advective Residual Transport of Tracer Load===== | =====Advective Residual Transport of Tracer Load===== | ||
Residual tracer load which is transported by means of ebb and flood currents through a cross section (the different transport directions are taken into account). If the advective transport by means of flood current is equal but in opposite direction of the ebb current transport this will result in a zero advective residual transport of tracer load.<br /> | Residual tracer load which is transported by means of ebb and [[flood]] currents through a cross section (the different transport directions are taken into account). If the advective transport by means of [[flood]] current is equal but in opposite direction of the ebb current transport this will result in a zero advective residual transport of tracer load.<br /> | ||
Example: not available. | Example: not available. | ||
=====Advective Tracer Transport, Flood-Ebb-Ratio===== | =====Advective Tracer Transport, Flood-Ebb-Ratio===== | ||
Flood to ebb ratio for the tracer load which are transported by means of flood and ebb currents<br /> | [[Flood]] to ebb ratio for the tracer load which are transported by means of [[flood]] and ebb currents<br /> | ||
Example: not available. | Example: not available. | ||
Latest revision as of 09:34, 21 October 2022
A graphic sketch for the definition of the various tidal characteristic numbers of tracer load is not available. Due to the fact that they are defined in complete analogy to salinity we do refer here to the respective graphical representations of the tidal characteristic numbers of salinity for further insight.
Motivation
The calculation as well as the graphic visualization of various tidal characteristic numbers of tracer concentration and also for the advective transport of tracer contributes to an improved understanding of tidally dominated transport processes in estuaries. Spatial variations of tracer concentration, advective transport of tracer load by means of flood and ebb currents can be highlighted for areas like coastal seas and estuaries as well.
- As the calculations are performed separately for the durations of ebb- and flood-current it can be shown that transport paths can differ significantly for the two tidal phases. From this one can get additional insight with respect to the relevant transport mechanisms dominated by the tidal currents. This can be related to locally varying flood-ebb asymmetries for ebb volume and flood volume. Also the presence of horizontal gradients can contribute to this effect.
- The variation of tracer concentration resulting from the local maximum as well as the local minimum of tracer concentration can be quite large. This is a consequence of the different availability of tracer load, e. g. inside or outside of the turbidity maximum. The value for the local tracer concentration variation is mainly the result of the product between the horizontal tracer concentration gradient and the lagrangian drift of a water particle during a complete tidal cycle, but also effected by the strong spatial variation of deposition and erosion of tracers throughout the estuary.
An automatic analysis of all tidal characteristic numbers of tracer load is carried through by the computer programs TDKSF and NCANALYSE.
Definitions for the Tidal Characteristic Numbers of Tracer Transport
Program NCANALYSE
Flood Current
Advective Flood Transport of Tracer Load
Exact amount of tracer load (with exception of roundoff) which passes a certain cross section during flood current due to advection. This quantity makes use of the normal flow of tracer load only, which is orthogonal to the flow face. Reconstruction of the total vector by means of projection is left to visualization programs (e. g. NCPLOT).
Diffusive Flood Transport of Tracer Load
Exact amount of tracer load (with exception of roundoff) which passes a certain cross section during flood current due to (turbulent) diffusion. This quantity makes use of the normal flow of tracer load only, which is orthogonal to the flow face. Reconstruction of the total vector by means of projection is left to visualization programs (e. g. NCPLOT).
Advective Flood Transport-Rate of Tracer Load
Exact transport rate of tracer load (with exception of roundoff) which passes a certain cross section during flood current due to advection. This quantity makes use of the normal flow of tracer load only, which is orthogonal to the flow face. Reconstruction of the total vector by means of projection is left to visualization programs (e. g. NCPLOT). On tidal flats this quantity is computed for the period of inundation only.
Diffusive Flood Transport-Rate of Tracer Load
Exact transport rate of tracer load (with exception of roundoff) which passes a certain cross section during flood current due to (turbulent) diffusion. This quantity makes use of the normal flow of tracer load only, which is orthogonal to the flow face. Reconstruction of the total vector by means of projection is left to visualization programs (e. g. NCPLOT). On tidal flats this quantity is computed for the period of inundation only.
Mean Tracer Load Flood Current
Mean value of tracer load during flood current duration of a tide.
Ebb Current
Advective Ebb Transport of Tracer Load
Exact amount of tracer load (with exception of roundoff) which passes a certain cross section during ebb current due to advection. This quantity makes use of the normal flow of tracer load only, which is orthogonal to the flow face. Reconstruction of the total vector by means of projection is left to visualization programs (e. g. NCPLOT).
Diffusive Ebb Transport of Tracer Load
Exact amount of tracer load (with exception of roundoff) which passes a certain cross section during ebb current due to (turbulent) diffusion. This quantity makes use of the normal flow of tracer load only, which is orthogonal to the flow face. Reconstruction of the total vector by means of projection is left to visualization programs (e. g. NCPLOT).
Advective Ebb Transport-Rate of Tracer Load
Exact transport rate of tracer load (with exception of roundoff) which passes a certain cross section during ebb current due to advection. This quantity makes use of the normal flow of tracer load only, which is orthogonal to the flow face. Reconstruction of the total vector by means of projection is left to visualization programs (e. g. NCPLOT). On tidal flats this quantity is computed for the period of inundation only.
Diffusive Ebb Transport-Rate of Tracer Load
Exact transport rate of tracer load (with exception of roundoff) which passes a certain cross section during ebb current due to (turbulent) diffusion. This quantity makes use of the normal flow of tracer load only, which is orthogonal to the flow face. Reconstruction of the total vector by means of projection is left to visualization programs (e. g. NCPLOT). On tidal flats this quantity is computed for the period of inundation only.
Mean Tracer Load Ebb Current
Mean value of tracer load during ebb current duration of a tide.
Tidal Cycle
Advective Residual Transport of Tracer Load
Residual based on exact volume of tracer load (with exception of roundoff) which passes a certain cross section during a tidal cycle (flood current plus ebb current) due to advection. This quantity makes use of the normal flow of tracer load only, which is orthogonal to the flow face. Reconstruction of the total vector by means of projection is left to visualization programs (e. g. NCPLOT).
Diffusive Residual Transport of Tracer Load
Residual based on exact volume of tracer load (with exception of roundoff) which passes a certain cross section during a tidal cycle (flood current plus ebb current) due to diffusion. This quantity makes use of the normal flow of tracer load only, which is orthogonal to the flow face. Reconstruction of the total vector by means of projection is left to visualization programs (e. g. NCPLOT).
Advective Tidal Transport of Tracer Load
Sum of individual transports (magnitudes) based on exact amount of tracer load (with exception of roundoff) which passes a certain cross section during a tidal cycle (flood current plus ebb current) due to advection. This quantity makes use of the normal flow of tracer load only, which is orthogonal to the flow face.
Advective Tracer Load Transport, Flood-Ebb-Ratio
Based on exact volume of tracer load (with exception of roundoff) which passes a certain cross section during a tidal cycle (flood current, ebb current) due to advection. Quantity is computed from the (face) normal components only.
Advective Tracer Load Transport, Flood-Tide-Ratio
Based on exact amount of tracer load (with exception of roundoff) which passes a certain cross section (flood current, flood current plus ebb current) due to advection. Quantity is computed from the (face) normal components only.
Advective Tracer Load Transport, Ebb-Tide-Ratio
Based on exact amount of tracer load (with exception of roundoff) which passes a certain cross section (ebb current, flood current plus ebb current) due to advection. Quantity is computed from the (face) normal components only.
Maximum Tracer Load
Maximum value of tracer load during a full tidal cycle (period between two subsequent slack water times of ebb current).
Minimum Tracer Load
Minimum value of tracer load during a full tidal cycle (period between two subsequent slack water times of ebb current).
Mean Tracer Load
Average value of tracer load during a full tidal cycle (period between two subsequent slack water times of ebb current).
Tidal Variation of Tracer Load
Difference between maximum and minimum values of tracer load during a full tidal cycle (period between two subsequent slack water times of ebb current).
Mean Tracer Load Flood Current : Mean Tracer Load
Ratio between mean tracer load during flood current and mean tracer load during the full tidal cycle.
Mean Tracer Load Ebb Current : Mean Tracer Load
Ratio between mean tracer load during ebb current and mean tracer load during the full tidal cycle.
Mean Tracer Load Flood Current : Mean Tracer Load Ebb Current
Ratio between mean tracer load during flood current and mean tracer load during ebb current.
Tidal Variation of Tracer Load : Mean Tracer Load
Ratio between tidal variation of tracer load and mean tracer load during the tidal cycle.
Maximum Tracer Load : Mean Tracer Load
Ratio between maximum tracer load and mean tracer load during a tidal cycle.
Minimum Tracer Load : Mean Tracer Load
Ratio of minimum tracer load and mean tracer load during a tidal cycle.
Program TDKSF
Flood Current
Advective Flood Transport of Tracer Load
Tracer load, which is transported by means of flood current through a cross section
Example: not available.
Ebb Current
Advective Ebb Transport of Tracer Load
Tracer load, which is transported by means of ebb current through a cross section
Example: not available.
Tidal Cycle
Maximum Tracer Concentration
Maximum value of tracer concentration during a complete tidal cycle (period between two subsequent slack water times of ebb current)
Example: not available.
Minimum Tracer Concentration
Minimum value of tracer concentration during a complete tidal cycle (period between two subsequent slack water times of ebb current)
Example: not available.
Mean Tracer Concentration
Average value of tracer concentration during a complete tidal cycle (period between two subsequent slack water times of ebb current)
Example: not available.
Tidal Variation of Tracer Concentration
Difference between the extreme values of tracer concentration during a complete tidal cycle (period between two subsequent slack water times of ebb current)
Example: not available.
Advective Residual Transport of Tracer Load
Residual tracer load which is transported by means of ebb and flood currents through a cross section (the different transport directions are taken into account). If the advective transport by means of flood current is equal but in opposite direction of the ebb current transport this will result in a zero advective residual transport of tracer load.
Example: not available.
Advective Tracer Transport, Flood-Ebb-Ratio
Flood to ebb ratio for the tracer load which are transported by means of flood and ebb currents
Example: not available.
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