## Tidal Characteristic Numbers of Tracer Load

### From BAWiki

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.

## Contents

- 1 Motivation
- 2 Definitions for the Tidal Characteristic Numbers of Tracer Transport
- 2.1 Program NCANALYSE
- 2.1.1 Flood Current
- 2.1.2 Ebb Current
- 2.1.3 Tidal Cycle
- 2.1.3.1 Advective Residual Transport of Tracer Load
- 2.1.3.2 Diffusive Residual Transport of Tracer Load
- 2.1.3.3 Advective Tidal Transport of Tracer Load
- 2.1.3.4 Advective Tracer Load Transport, Flood-Ebb-Ratio
- 2.1.3.5 Advective Tracer Load Transport, Flood-Tide-Ratio
- 2.1.3.6 Advective Tracer Load Transport, Ebb-Tide-Ratio
- 2.1.3.7 Maximum Tracer Load
- 2.1.3.8 Minimum Tracer Load
- 2.1.3.9 Mean Tracer Load
- 2.1.3.10 Tidal Variation of Tracer Load
- 2.1.3.11 Mean Tracer Load Flood Current : Mean Tracer Load
- 2.1.3.12 Mean Tracer Load Ebb Current : Mean Tracer Load
- 2.1.3.13 Mean Tracer Load Flood Current : Mean Tracer Load Ebb Current
- 2.1.3.14 Tidal Variation of Tracer Load : Mean Tracer Load
- 2.1.3.15 Maximum Tracer Load : Mean Tracer Load
- 2.1.3.16 Minimum Tracer Load : Mean Tracer Load

- 2.2 Program TDKSF

- 2.1 Program NCANALYSE

## 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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