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**Modelling the environmental dispersion of radionuclides**

Jordi Vives i Batlle Centre for Ecology and Hydrology, Lancaster, 28 April 2010 1

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**Lecture plan Dispersion models available in the ERICA Tool**

Other types of dispersion models that are available Key parameters that drive dispersion models for radioactivity in the environment Applicability to different scenarios/circumstances (e.g. release directly to a protected site/end of pipe concentrations (e.g. mixing zones)) 2

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**What reasons to use models?**

Often the receptor is not at a point of emission but is linked via an environmental pathway (dilution) Need to predict media concentrations when (adequate) data are not available To conduct authorisation-based assessments for the protection and conservation of species listed under the EC Birds and Habitats Directives 3

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**Part I: Dispersion modelling in ERICA**

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IAEA SRS publication 19 Designed to minimise under-prediction (conservative generic assessment) A default discharge period of 30 y is assumed (estimates doses for the 30th year of discharge) 5

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**Atmospheric dispersion**

Gaussian plume model version depending on the relationship between building height, HB & cross-sectional area of the building influencing flow, AB Assumes a predominant wind direction and neutral stability class Key inputs: discharge rate Q & location of source / receptor points (H, HB, AB and x) 6

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**Atmospheric dispersion**

(b) a) H > 2.5HB (no building effects) b) H 2.5HB & x > 2.5AB½(airflow in the wake zone) c) H 2.5HB & x 2.5AB½(airflow in the cavity zone). Two cases: source / receptor at same building surface not at same surface (c) Not generally applicable at x > 20 km 7

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**Basic dispersion equation**

Importance of Release Height 8

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**Key parameters Wind speed and direction Release height Precipitation**

10 minute average from 10 m wind vane & anemometer Release height Precipitation 10 minute total rainfall (mm) from tipping bucket Stability or degree of turbulence (horizontal and vertical diffusion) Manual estimate from nomogram using time of day, amount of cloud cover and global radiation level Atmospheric boundary layer (time-dependent) Convective and or mechanical turbulence Limits the vertical transport of pollutants As you will already know emergency assessments are carried out using EAS. The met information that EAS requires to carry out an assessment is as follows: wind direction and speed - at 10m Rain - yes or no Stability class estimated from nomogram or in future hope there will be an automatic calculation. Will learn more about this in the atmospheric dispersion talk in a couple of weeks. 9

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**R91 aerial dispersion model**

Based on the recommendations of the Working Group on Atmospheric Dispersion (NRPB-R91, -R122, -R123, -R124) Gaussian plume model Meteorological conditions specified by: Wind speed Wind direction Pasquill-Gifford stability classification Implemented in PC CREAM 10

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R91 - model limitations Model assumes constant meteorological and topographical conditions along plume trajectory Prediction accuracy < 100 m and > 30 km limited Source depletion unrealistic (deposition modelling & transfer factors are uncertain) Developed for neutral conditions Does not include Buildings Complex terrain e.g. hills and valleys Coastal effects 11

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**Surface water dispersion**

Freshwater Small lake (< 400 km2) Large lake (≥400 km2) Estuarine River Marine Coastal No model for open ocean waters 12

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**Surface water dispersion**

Based on analytic solution of the advection diffusion equation describing transport in surface water for uniform flow conditions at steady state Processes included: Flow downstream as transport (advection) Mixing processes (turbulent dispersion) Concentration in sediment / suspended particles estimated from ERICA Kd at receptor (equilibrium) Transportation in the direction of flow No loss to sediment between source and receptor In all cases water dispersion are assumed critical flow conditions, by taking the lowest in 30 years, the rate of current flow 13

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**Rivers and coastal waters**

Lz = distance to achieve full vertical mixing The river model assumes that both river discharge of radionuclides such as water harvesting is done in some of the banks, not in the midstream The estuary model is considered an average speed of the current representative of the behaviour of the tides. If x on the same bank side and Lz = 7D the radionuclide Condition for mixing is (y-y0)<<3.7x concentration in water is assumed to be undiluted Kd = Activity concentration on sediment (Bq kg-1) Activity concentration in seawater (Bq L-1) 14

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**Small lakes and reservoirs**

Assumes a homogeneous concentration throughout the water body Expected life time of facility is required as input 15

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**Limitations of IAEA SRS 19**

Simple environmental and dosimetric models as well as sets of necessary default data: Simplest, linear compartment models Simple screening approach (robust but conservative) Short source-receptor distances More complex / higher tier assessments: Aerial model includes only one wind direction Coastal dispersion model not intended for open waters e.g. oil/gas marine platform discharges Surface water models assume geometry (e.g. river cross-section) & flow characteristics (e.g. velocity, water depth) do not change significantly with distance / time Assumes equilibrium e.g. water/sediment Kd 16

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**Part II: PC-Cream as a practical alternative for dispersion modelling**

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**Collective Dose Model - PC CREAM**

Consequences of Releases to the Environment Assessment Methodology A suite of models and data for performing radiological impact assessments of routine and continuous discharges Marine: Compartmental model for European waters (DORIS) Seafood concentrations => Individual doses => Collective doses. Aerial: Radial grid R-91 atmospheric dispersion model with (PLUME) with biokinetic transfer models (FARMLAND) Ext. & internal irradiation => foodchain transfer (animal on pasture e.g. cow & plant uptake models) => dose 18

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**Marine and aerial dispersion**

Radial grid - atmospheric model Compartmental - marine model (continuous discharge) 19

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**Marine and aerial dispersion**

Marine model (DORIS) => improvement Has long-range geographical resolution - allows for offshore scenarios e.g. marine platform discharges Incorporates dynamic representation of water / sediment interaction Aerial model (PLUME) => no improvement Still a gaussian dispersion model unsuitable for long distances (though it has been used in that way) Also assumes constant meteorological conditions Does not correct for plume filling the boundary layer Must use a better model e.g. Lagrangian particle dispersion - NAME 20

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**Part III: Other alternative dispersion models**

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Marine modelling 22

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**Geographically resolving marine models**

Allow for nonequilibrium situations e.g. acute release into protected site Advantages: Resolves into a large geographical range Results more accurate (if properly calibrated) Disadvantages: Data and CPU-hungry (small time step and grid sizes demand more computer resources) Run time dependent on grid size & time step Requires a more specialised type of user Post-processing required for dose calculation (use as input to ERICA) 23

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**Model characteristics**

Input requirements: Bathymetry, wind fields, tidal velocities, sediment distributions, source term Type of output: a grid map / table of activity concentration (resolution dependent on grid size) All use same advection/dispersion equations, differences are in grid size and time step Types of model: Compartmental: Give average solutions in compartments connected by fluxes. Good for long-range dispersion in regional seas. Finite differences: Equations discretised and solved over a rectangular mesh grid. Good for short-range dispersion in coastal areas Estuaries a special case: Deal with tides (rather than waves), density gradients, turbidity & c. 24

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**Finite differences Compartmental**

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**Readily available models**

Long-range marine models (regional seas): POSEIDON - N. Europe (similar to PC-CREAM model but redefines source term and some compartments - same sediment model based on MARINA) MEAD (in-house model available at WSC) Short-range marine models (coastal areas): MIKE21 - Short time scales (DHI) - also for estuaries Delft 3D model, developed by DELFT TELEMAC (LNH, France) - finite element model COASTOX (RODOS PV6 package) Estuarine models DIVAST ( Dr Roger Proctor) ECoS (PML, UK) - includes bio-uptake 26

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**POSEIDON As seen previously (PC-CREAM section of the lecture)**

Area of interest divided into large area boxes and transfer at boundaries is dependent on the parameters in the adjacent boxes Contains sediment transport project (MARINA project) Simple, quick, easy to use radionuclide transport model Continuous discharge Time variable discharge Continuous leaching of an immersed solid material Post processing for annual dose to humans is intrinsic, hence only minor coding required for determination of dose to biota 27

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DHI MIKE21 model Two-dimensional depth averaged model for coastal waters Location defined on a grid - creates solution from previous time step Hydrodynamics solved using full time-dependent non-linear equations (continuity & conservation of momentum) Large, slow and complex when applied to an extensive region Suitable for short term (sub annual) assessments A post processor is required to determine biota concentrations and dose calculations 28

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**Marine Environment Advection Dispersion**

Applies advection - dispersion equations over an area and time Generates activity concentration predictions in water and sediment Has been combined with the ERICA methodology to make realistic assessments of impact on biota 2 km grid 29

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MEAD input data - water Bathymetry for MEAD grid: resolution 2 km - 2 km Residual flow field (12 month MIKE21 simulation / averaged wind conditions) 30

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**MEAD input data - sediment**

Distribution of fine grained bed sediment Distribution of suspended particles (modelled) 31

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**MEAD output - Cumbria coast**

60Co in winkles 137Cs in cod / plaice 99Tc in crab 241Am in mussels Could be used to derive CFs for use in ERICA 32

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**MEAD - long-range results**

Predicted distribution of 137Cs in seawater in 2000 Predicted distribution of 137Cs in bed sediments in 2000 33

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**More complex process models**

Extra modules in MIKE21 More complex water quality issues e.g. eutrophication Wave interactions Coastal morphology Particle and slick tracking analysis Sediment dynamics ModelMaker biokinetic models Dynamic interactions with sediment Speciation Dynamic uptake in biota 34

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**River and estuary modelling**

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**River and estuary models**

Advantages: Large geographical range Consider multiple dimensions of the problem (1 - 3D) Considers interconnected river networks Results more accurate (if properly calibrated) Disadvantages - same as marine models: Data hungry Run time dependent on grid size & time step Requires a more specialised type of user CPU-hungry (as time step and grid size decreases it demands more computer resources) Post-processing required for dose calculation (use as input to ERICA) 36

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**Model characteristics**

Input requirements: Bathymetry, rainfall and catchment data, sediment properties, network mapping, source term Type of output: activity concentration in water and sediment, hydrodynamic data for river All use same advection/dispersion equations as marine but differences in boundary conditions Generally models solve equations to: Give water depth and velocity over the model domain. Calculate dilution of a tracer (activity concentration) 37

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**Common models Can be 1D, 2D or 3D models Off-the-shelf models:**

1D river models: River represented by a line in downstream direction - widely used 2D models have some use where extra detail is required 3D models are rarely used unless very detailed process representation is needed Off-the-shelf models: MIKE11 model developed by the DHI, Water and Environment (1D model) VERSE (developed by WSC) MOIRA (Delft Hydraulics) Research models: PRAIRIE (AEA Technology) RIVTOX & LAKECO (RODOS PV6 package) 38

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**MIKE11 - Industry standard code for river flow simulation **

River represented by a line in downstream direction River velocity is averaged over the area of flow Cross sections are used to give water depth predictions Can be steady flow (constant flow rate) or unsteady flow Use of cross sections can give an estimate of inundation extent but not flood plain velocity 39

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Aerial modelling 40

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**New-generation Gaussian plume models**

Advanced models: ADMS, AERMOD Gaussian in stable and neutral conditions Non-Gaussian (skewed) in unstable conditions Continuous turbulence data rather than simplified stability categories to define boundary layer Model includes the effects on dispersion from: Buildings Complex terrain & coastal regions ADMS a good choice ADMS is a ‘ new generation’ advanced dispersion model The difference between the traditional and ‘new generation’ models lies primarily in the methodologies for calculating the dispersion parameters within the model, i.e. sy and sz. ADMS assumes a Gaussian distribution of concentration in the horizontal cross-wind direction and a modified Gaussian in vertical. Plume spread depends on local wind speed and turbulence and thus on plume height. This is in contrast to the R91 model, which assumes that plume spread is independent of height. There is also improved physical modelling of the atmosphere... Instead of using the Pasquill-Gifford stability classes, A to G, the stability is characterised by the boundary layer height and a turbulence scaling parameter, known as the Monin-Obukhov length (LMO). The reciprocal of the LMO (z = height above surface, usually 1 m) is used as a stability parameter: z/L = 0 for neutral stability z/L = for stable conditions z/L = -5 to -1 for unstable conditions The model also includes the effect of building downwash, complex terrain and complex coastal meteorology. UK-ADMS published validation studies on CERC web site. 41

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**UK ADMS Modified Gaussian plume model**

Gaussian in stable and neutral conditions Skewed non-Gaussian in unstable conditions Boundary layer based on turbulence parameters Model includes: Meteorological preprocessor, buildings, complex terrain Wet deposition, gravitational settling and dry deposition Short term fluctuations in concentration Chemical reactions Radioactive decay and gamma-dose Condensed plume visibility & plume rise vs. distance Jets and directional releases Short to annual timescales 42

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**ADMS input Parameters Meteorological data (site specific & Met Office)**

Wind speed, wind direction, date, time, latitude, boundary layer height, cloud cover Boundary Layer Height Height at which surface effects influence dispersion ADMS calculates boundary layer properties for different heights based on meteorology Monin-Obukhov Length Measure of height at which mechanical turbulence is more significant than convection or stratification ADMS calculates M-O length based on meteorology and ground roughness 43

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Types of output 44

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**Terrestrial (biosphere) modelling**

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Catchment modelling Convert rainfall over the catchment to river flow out the catchment Represent the processes illustrated, however in two possible ways: Simple “black box” type model such as empirical relationship from rainfall to runoff (cannot be used to simulate changing conditions) Complex physically based models where all processes are explicitly represented 46

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**Example Model - MIKE SHE**

Integrated groundwater - surface water solution Advanced rainfall runoff model with extensive process representation Intense parameter demand One of the more widely used models A good choice when the close linkage of surface water and ground water is important to the study Graham, D.N. and M. B. Butts (2005) Flexible, integrated watershed modelling with MIKE SHE. In Watershed Models, Eds. V.P. Singh & D.K. Frevert Pages , CRC Press. ISBN: 47

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Conclusions ERICA uses the IAEA SRS 19 dispersion models to work out a simple, conservative source - receptor interaction SRS 19 have some shortcomings PC-CREAM can be used as an alternative suite of dispersion models There are further off-the-shelf models performing radiological impact assessments of routine and continuous discharges ranging from simple to complex Key criteria of simplicity of use and number of parameters need to be considered 48

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**Links to alternative models**

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Radionuclide dispersion modelling

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