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Geostatistics
for Radiological Characterization
and Sampling Optimization
Yvon DESNOYERS
More information:
www.geovariances.com
Panel Session #87
Characterization & Survey for
Decommissioning and Waste Management
2
26 septembre 2013
Collect
Analyse
Decide
3
Radiological Characterization Context
 Interrelated issues of D&D projects:
 Regulatory deadlines, costs (maintenance, contractor, waste…)
 Characterization: Radiation protection of workers, waste
categorization and optimization, monitoring, clearance criteria…
 Initial characterization: a key stage for D&D success
 “Segregation and characterization of contaminated materials
are the key elements of waste minimization”
(Methods for the Minimization of Radioactive Waste from Decontamination and
Decommissioning of Nuclear Facilities, IAEA)
Characterization
•Geostatistics
•Modeling…
Decontamination
•Monitoring
•Waste control
Decommissioning
•Statistical tests
•Sanitary impact
4
The Characterization Triptych
 A three legged stool: stability and simplicity
 If one leg is missing, the stool falls
 A stable position but uncomfortable
Evaluation
objective
Sampling
design
Data
processing
5
Reminder about Sampling Designs
 Two main categories
 Probability-based
 Systematic
 Random
 Judgmental
 Mix possible to fulfil
the evaluation
objectives
 Iterative approach
recommended
6
Geostatistics for Initial Characterization
 Added values of geostatistics:
 Successfully used for site characterization (chemical & nuclear)
 Implemented in the methodology for the radiological waste
characterization in former nuclear facilities
 Sampling optimization according to spatial structure inventory
 Key issues:
 How to optimize the investigation costs?
 How to take auxiliary information such as historical inventory
and radiation maps consistently into account?
 How to quantify uncertainties in the remediation costs while
computing contaminated surfaces or volumes?
7
Methodology: Geostatistics
 Geo + Statistics: integration of the phenomenon spatial continuity
 Main tool of geostatistics: the variogram
(describes the variability between 2 points)
 on average, the difference between two CLOSE measures is LOW
 on average, the difference between two DISTANT measures is HIGH
 The way the variogram increases
with distance is linked to the
phenomenon spatial variability
Spatial structure analysis:
experimental variogram
and its modelling
Experimental
Model
      2
2
1
hxZxZEh 
8
Three spatial structures
 Three spatial
representations
of the same
statistical
distribution
 Characterization
of the spatial
structures thanks
to a regular
sampling grid
9
Three spatial structures
10
Characterization Methodology
CostandTime
Quantity
Historical and
functional
analysis
Surface
radiation
survey
Radiological
waste
segregation
11
Data Analysis & Modeling
 Use of the geostatistical
multivariate approach
 Integration of all relevant
information and data
 Description of the spatial
correlation between two
variables:
 Cross-variogram
 Use of surface radiation data
so as to improve the
estimation of activity levels
(uncertainty reduction)
Estimation maps and
decision making tools
Radiological
waste
segregation
Surface
radiation
survey
Historical
and
functional
analysis
12
Risk Analysis & Estimation Support
 Taking the decision
support into account:
 Punctual  Hot spots
 Block  Waste category
 Impact on categorisation
surfaces (averaging)
Probability map for LLW – Punctual support
Probability map for LLW – 1m² support
Probability map for LLW – Workstation support
13
Radiological Categorization
 Decision-making tools for decontamination process:
 Waste segregation according to activity levels and risk levels
 Average activity per “decontamination unit”
 Accumulation (total
amount of activity)
Probability map for Low Level Waste
Probability map for Intermediate Level Waste
14
Sampling Optimization
 Impact of the initial
mesh on the estimation
maps:
 0.66m, 1.3m, 2.0m
 What is your objective?
 Hot spots
 Average dose rate
 Waste zoning
 …
Complete dataset
Example with 1 point out of 4
Example with 1 point out of 9
15
Sampling Optimization
 Integration of the geostatistical analysis of values to
optimize the number and location of data points
 Initial mesh determination
(feedback on spatial structures)
 Defining additional points
(on risk maps)
 Positioning samples on
radiation maps (use of the
correlation between values)
Map of the false negative risk
(declare clean a contaminated area)
Low risk
Intermediate risk
High risk
Declared above the threshold
16
A Deep Contamination Example
 First data analysis (in 2007)
 4 drilling campaigns
17
 Topography of the former
military fortification (first
generation of installations)
 Correct interpretation of
contaminated areas
Integration of Historical Information
18
3D Representation
18
19
Added Value of Geostatistics
 Explore and valuate collected data
 Data cleaning and validation / Handling data anomalies and outliers…
 Get a reliable mapping of the radiological contamination
 Take the spatial behavior (variographic analysis) into account
 Assess the precision of the estimation map
 Refine the estimation map using correlated data (destructive / in situ)
and indirect information (historical knowledge)
 Quantify uncertainties on contaminated volumes (or surfaces)
 Compute the probability of exceeding a radiological threshold
 Assess the uncertainty on the volumes
 Optimize the investigation effort / sampling strategy
20
Geovariances in brief…
 World leader in advanced geostatistics
 The most complete solution in geostatistics:
Innovative Methodologies,
Experts & Software packages
 all-in-one software
solution for contaminated site characterization
 GIS-based with sampling optimization
 Real-time contamination mapping
 Risk assessment for decision-making
process (2D and 3D modeling)
Developed in
partnership
with

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Geostatistics for radiological characterization and sampling optimization

  • 1. Geostatistics for Radiological Characterization and Sampling Optimization Yvon DESNOYERS More information: www.geovariances.com Panel Session #87 Characterization & Survey for Decommissioning and Waste Management
  • 3. 3 Radiological Characterization Context  Interrelated issues of D&D projects:  Regulatory deadlines, costs (maintenance, contractor, waste…)  Characterization: Radiation protection of workers, waste categorization and optimization, monitoring, clearance criteria…  Initial characterization: a key stage for D&D success  “Segregation and characterization of contaminated materials are the key elements of waste minimization” (Methods for the Minimization of Radioactive Waste from Decontamination and Decommissioning of Nuclear Facilities, IAEA) Characterization •Geostatistics •Modeling… Decontamination •Monitoring •Waste control Decommissioning •Statistical tests •Sanitary impact
  • 4. 4 The Characterization Triptych  A three legged stool: stability and simplicity  If one leg is missing, the stool falls  A stable position but uncomfortable Evaluation objective Sampling design Data processing
  • 5. 5 Reminder about Sampling Designs  Two main categories  Probability-based  Systematic  Random  Judgmental  Mix possible to fulfil the evaluation objectives  Iterative approach recommended
  • 6. 6 Geostatistics for Initial Characterization  Added values of geostatistics:  Successfully used for site characterization (chemical & nuclear)  Implemented in the methodology for the radiological waste characterization in former nuclear facilities  Sampling optimization according to spatial structure inventory  Key issues:  How to optimize the investigation costs?  How to take auxiliary information such as historical inventory and radiation maps consistently into account?  How to quantify uncertainties in the remediation costs while computing contaminated surfaces or volumes?
  • 7. 7 Methodology: Geostatistics  Geo + Statistics: integration of the phenomenon spatial continuity  Main tool of geostatistics: the variogram (describes the variability between 2 points)  on average, the difference between two CLOSE measures is LOW  on average, the difference between two DISTANT measures is HIGH  The way the variogram increases with distance is linked to the phenomenon spatial variability Spatial structure analysis: experimental variogram and its modelling Experimental Model       2 2 1 hxZxZEh 
  • 8. 8 Three spatial structures  Three spatial representations of the same statistical distribution  Characterization of the spatial structures thanks to a regular sampling grid
  • 11. 11 Data Analysis & Modeling  Use of the geostatistical multivariate approach  Integration of all relevant information and data  Description of the spatial correlation between two variables:  Cross-variogram  Use of surface radiation data so as to improve the estimation of activity levels (uncertainty reduction) Estimation maps and decision making tools Radiological waste segregation Surface radiation survey Historical and functional analysis
  • 12. 12 Risk Analysis & Estimation Support  Taking the decision support into account:  Punctual  Hot spots  Block  Waste category  Impact on categorisation surfaces (averaging) Probability map for LLW – Punctual support Probability map for LLW – 1m² support Probability map for LLW – Workstation support
  • 13. 13 Radiological Categorization  Decision-making tools for decontamination process:  Waste segregation according to activity levels and risk levels  Average activity per “decontamination unit”  Accumulation (total amount of activity) Probability map for Low Level Waste Probability map for Intermediate Level Waste
  • 14. 14 Sampling Optimization  Impact of the initial mesh on the estimation maps:  0.66m, 1.3m, 2.0m  What is your objective?  Hot spots  Average dose rate  Waste zoning  … Complete dataset Example with 1 point out of 4 Example with 1 point out of 9
  • 15. 15 Sampling Optimization  Integration of the geostatistical analysis of values to optimize the number and location of data points  Initial mesh determination (feedback on spatial structures)  Defining additional points (on risk maps)  Positioning samples on radiation maps (use of the correlation between values) Map of the false negative risk (declare clean a contaminated area) Low risk Intermediate risk High risk Declared above the threshold
  • 16. 16 A Deep Contamination Example  First data analysis (in 2007)  4 drilling campaigns
  • 17. 17  Topography of the former military fortification (first generation of installations)  Correct interpretation of contaminated areas Integration of Historical Information
  • 19. 19 Added Value of Geostatistics  Explore and valuate collected data  Data cleaning and validation / Handling data anomalies and outliers…  Get a reliable mapping of the radiological contamination  Take the spatial behavior (variographic analysis) into account  Assess the precision of the estimation map  Refine the estimation map using correlated data (destructive / in situ) and indirect information (historical knowledge)  Quantify uncertainties on contaminated volumes (or surfaces)  Compute the probability of exceeding a radiological threshold  Assess the uncertainty on the volumes  Optimize the investigation effort / sampling strategy
  • 20. 20 Geovariances in brief…  World leader in advanced geostatistics  The most complete solution in geostatistics: Innovative Methodologies, Experts & Software packages  all-in-one software solution for contaminated site characterization  GIS-based with sampling optimization  Real-time contamination mapping  Risk assessment for decision-making process (2D and 3D modeling) Developed in partnership with