1. Outcome of the Repoperm Project
Klaus-Peter Kröhn, GRS
6. September 2017
8th US/German Workshop on Salt Repository Research,
Design, and Operation
September 5-7th, Middelburg, Netherlands
4. Project REPOPERM
Scope 4
Joint project of
Mechanical and hydraulic behaviour
of compacting crushed salt backfill
at low porosities
REPOPERM project - phase 1
October 2007 until March 2009
REPOPERM project - phase 2
May 2010 until July 2016
5. Key question for Phase 1
Threshold porosity F0 → permeability k0 = 0 m² ?
Main result of Phase 1
A possible F0 lies in a range where measurement of porosity is of inherent high uncertainty
Key question for Phase 2
Relevance of F0
→ reliable prediction of crushed salt behaviour under repository conditions
Mechanical and hydraulic data for compaction especially of wet material
Scope 5
Objectives
6. REPOPERM project - phase 1
Scope 6
Tasks
Data review
Compaction test
Results
Criteria for in-situ relevant laboratory test conditions
Porosity-permeability relation for gas and brine
High inherent uncertainties in determination of a porosity < 1-2%
No reliable constitutive equations for two-phase flow
Porosität [-]
Permeabilität[m²]
10
-3
10
-2
10
-1
10
-24
10-22
10
-20
10-18
10
-16
10-14
d<32mm; Spindelöl
d<32mm; Spindelöl
d<16mm; Lauge
d<16mm; Lauge
d<16mm; Spindelöl
d<16mm; Spindelöl
d< 8mm; Spindelöl; BGR D-A-003
d< 8mm; Spindelöl; BGR D-A-010
d< 4mm; Spindelöl; BGR D-A-004
d< 4mm; Spindelöl; BGR D-A-011
d< 2mm; Spindelöl; BGR D-A-005
d< 2mm; Spindelöl; BGR D-A-012
d< 8mm; Stickstoff; G.3S-2
d< 8mm; Stickstoff; GRS Debora
Extrapolation der Bandbreiten
aus Abb. 2.16
Ungestörtes Steinsalz
Phase 1
porosity [-]
permeability[m²]
0.02 0.04 0.06 0.08 0.1 0.12
10
-23
10-21
10
-19
10-17
10
-15
10-13
brine
spindle oil
nitrogen
present test; nitrogen
present test; brine
present test; brine
D-A-025
bandwidths fit by eye
gas permeability
brine permeability
Phase 2
7. REPOPERM project - phase 2
Scope 7
Experimental investigations
Examining the porosity in relevant, past experiments
Influence of the sieve line on compaction behaviour
Triaxial compaction test with dry material at low porosities
Influence of humidity on compaction
Permeability associated with low porosity
Constitutive relations for two-phase flow
Microstructural Investigations
Basics for numerical modelling of compacting crushed salt
Phenomenology and physics related to crushed salt compaction
Development/definition and comparison of material models
Benchmark calculations and parameter improvement
Scaling-rules for capillary pressure
Application of Discrete Element Codes
THM-coupled model calculations
Relevant scenarios and boundary conditions
Inflow into the drift backfill at the drift seal
8. REPOPERM project - phase 2
Scope 8
Experimental investigations
Examining the porosity in relevant, past experiments
Influence of the sieve line on compaction behaviour
Triaxial compaction test with dry material at low porosities
Influence of humidity on compaction
Permeability associated with low porosity
Constitutive relations for two-phase flow
Microstructural Investigations
Basics for numerical modelling of compacting crushed salt
Phenomenology and physics related to crushed salt compaction
Development/definition and comparison of material models
Benchmark calculations and parameter improvement
Scaling-rules for capillary pressure
Application of Discrete Element Codes
THM-coupled model calculations
Relevant scenarios and boundary conditions
Inflow into the drift backfill at the drift seal
10. time [d]
porosity[-]
0 500 1000 1500
0
0.05
0.1
0.15
0.2
0.25
0.3 bounding porosity for sample 1
bounding porosity for sample 2
bounding porosity for sample 3
flooding of
sample 1
flooding of
sample 2
time [d]
porosity[-]
stress[MPa],temperature[°C]
0 500 1000 1500
0
0.05
0.1
0.15
0.2
0.25
0.3
0
20
40
60
80
100
initial porosity
terminal
porosity
flooding
Long-term multi-step load-controlled compaction test
Uniaxial test running for 1654 days
Sample data
Load
Increasing mechanical load (up to 18 MPa)
Varying temperature (up to 90 °C)
Flooding with brine
Selected workpackages 10
Sample Initial moisture content Terminal porosity
1 0.0 % 1.11 %
2 0.1 % 0.88 %
3 1.0 % 2.00 %
11. Test on constitutive relations for two-phase flow
Compacting crushed salt;
Gas flow test
Sample selection
→ single-phase gas permeability
Installation of samples
Saturating with brine
→ single-phase brine permeability
Applying gas pressure;
observing outflow;
stepwise pressure increase
→ air entry pressure
Measuring brine & gas outflow;
increasing gas pressure stepwise
→ capillary pressure
→ effective gas permeability
→ gas saturation
crushed
salt
gas
porosity [%]
gaspermeability[m²]
7 8 9
10-15
10-14
10-13
crushed
salt
load
brine
gas
gas
Selected workpackages 11
13. Applicability of modelling tools
First calibration of parameters for FADT
First generic THM-model for salt backfill
compaction of crushed salt in a drift
thermal gradient
brine inflow at a certain point in time
CODE_BRIGHT with repository-relevant material parameters
→plausible and coherent results
Validity of material models
Three different tests (BAMBUS, BGR-test, REPOPERM)
Calibration leads to three different parameter sets
None of the sets could successfully be applied to one of the other two tests
Same result with interpolated parameters
Three approaches were compared in detail (Hein, Heemann, Olivella)
Qualitatively similar behaviour
Agreement doubtful especially in case of low porosities
Some constitutive equations are not valid over the whole range of primary
variables (stress, temperature, porosity, …)
Selected workpackages 13
14. Specific topics
Mechanics
Uncertainty in the grain density → uncertainty of void ratio: Δe ≈ 0.0045 – 0.0065
The fractions of the smaller grain sizes dominate the compaction behaviour
Results of triaxial and uniaxial compaction tests increasingly disagree towards low porosities
Hydromechanics
Uniaxial and triaxial tests indicate a transition from dry to wet compaction
between 0.3% and 0.6% moisture content
No significant influence of high relative humidity in the pore air on compaction
Hydraulics
Very little adsorption of water on crushed salt in a humid atmosphere
Confirming the porosity-permeability relation from Phase 1
Two-phase/unsaturated flow
• Measurement of two-phase flow properties of crushed salt with a repository-relevant grain
size distribution down to a gas permeability of 10-15 m² is possible
• Application of the theory of Brooks and Corey
works for the capillary pressure
fails for relative permeability
Selected workpackages 14
16. Conclusions
Considerable advance in knowledge and understanding
First experimental data → parameters for wet compaction (FADT)
First repository relevant THM-model for salt buffer
A row of specific questions answered
Limits of presently used models
Hydro-mechanical behaviour of compacting crushed salt is not yet
completely characterized (e.g. validity of constitutive equations)
sufficiently understood (e.g. permeability under unsaturated conditons)
Water vapour will spread out through the backfill unimpeded
Material parameters are presently test dependent
Conclusions, open questions, and recommendations 16
17. Open questions
(Hydro-)Mechanical properties
Effekt of flooding at high porosities on compaction
Effect of entrapped air on expulsion of brine during compaction
Reason for disagreement of tri- and uniaxial tests
Dynamics of transition from dry to wet compaction
Impact of deviations in the grain size distribution
Compaction of material exclusively with large grains
Dependence of constitutive equations for two-phase flow on porosity
Relevance of threshold porosity
Conclusions, open questions, and recommendations 17
18. Enhance the predictive capability of the numerical models
Catalogue
• all constitutive equations
• all supporting experimental evidence
• range of validity
• uncertainties
Ensure validity constitutive equations of over the whole range of possible THM conditions
• do supplemental experiments where necessary
Material parameters must not be allowed to be test dependent!
Increase understanding of the tests
e.g. reconcile results of uniaxial and triaxial tests
Include additional effects and processes like wall friction and hardening
Investigate
Relevance of threshold porosity with a well-founded numerical model
Impact of deviations in the grain size distribution
Transition between dry and wet compaction
Impact of vapour transport on canister corrosion
Decide about two-phase flow parameters
further measurements
dependency on grain size distribution
alternatives
Conclusions, open questions, and recommendations 18
Recommendations
19. Thank you for listening
Thank you for sponsoring:
Thanks to all the contributing collegues
Christian Lerch (DBE TEC)
Rüdiger Miehe (GRS)
Dieter Stührenberg (BGR)
Michael Jobmann (DBE TEC)
Ulrich Heemann (BGR)
Oliver Czaikowski (GRS)
Christian Müller (DBE TEC)
Chun-Liang Zhang (GRS)
Helge Moog (GRS)
Sonja Schirmer (DBE TEC)
Larissa Friedenberg (GRS)
Liselotte von Borstel (DBE TEC)
Jens Wolf (GRS)
Jürgen Dittrich (GRS)
Karsten Hellwald (GRS)
Jürgen Müller (GRS)
All the technicians not mentioned here