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7th US/German Workshop on Salt Repository
Research, Design, and Operation
Leo L. Van Sambeek
RESPEC
Washington, DC
September 7-9, 2016
Conventional Salt Creep
2
1.E-09
1.E-08
1.E-07
1.E-06
1.E-05
1.E-04
1.E-03
1.E-02
1.E-01
1.E+00
1 10
StrainRate(peryear)
Effective Stress (MPa)
= 4E-9
1.E-09
1.E-08
1.E-07
1.E-06
1.E-05
1.E-04
1.E-03
1.E-02
1.E-01
1.E+00
1 10
StrainRate(peryear)
Effective Stress (MPa)
= 4E-9
C = 8.3
= 1E-6
Multi-Segmented Creep Law
3
Radial Stress Boundary Conditions
( )
4
 
   
   
 
 
1
2 3 1 2 2
1 1 1
1
1
3
3
3
r a
r r
r r i i i
r m b m m
r m b
r P
r r c c n
r c c n
r P c n
r P
 


  
      
        
   
    
K
  
 
 
1
1
1
1
2
2 1 1 2
2
1 2 1
2
1 2 1
1
3 1
i
m
n
r a
n
i i i i
n
m m m m
m
r a
r a n c r P
r r c c
r r c c
r b


  
  


    
 
   
   

 b
Example (Pa = 0 and Pb=15 MPa)
5
0
2
4
6
8
10
12
14
16
18
20
1 10 100 1000
EffectiveStress(MPa)
r/a
One Segment Two Segments
Three Segments Four Segments
Number of
Creep-Law
Segments
Parameters Involved
Steady-State
Volumetric
Closure Rate
per Year
1 n1 and A1 0.010
2 n1, n2 and A1, A2 0.061
3 n1, n2, n3 and A1, A2, A3 0.085
4 n1, n2, n3, n4 and A1, A2, A3, A4 0.095
Compare Effective Stress at Cavern Wall
For High-Stress and Multi-Segmented Creep Laws
Multi-Segmented Creep Law Can Make
10 Times More Cavern Closure

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14 van sambeek multi segmented creep law

  • 1. 7th US/German Workshop on Salt Repository Research, Design, and Operation Leo L. Van Sambeek RESPEC Washington, DC September 7-9, 2016
  • 2. Conventional Salt Creep 2 1.E-09 1.E-08 1.E-07 1.E-06 1.E-05 1.E-04 1.E-03 1.E-02 1.E-01 1.E+00 1 10 StrainRate(peryear) Effective Stress (MPa) = 4E-9 1.E-09 1.E-08 1.E-07 1.E-06 1.E-05 1.E-04 1.E-03 1.E-02 1.E-01 1.E+00 1 10 StrainRate(peryear) Effective Stress (MPa) = 4E-9 C = 8.3 = 1E-6
  • 4. Radial Stress Boundary Conditions ( ) 4               1 2 3 1 2 2 1 1 1 1 1 3 3 3 r a r r r r i i i r m b m m r m b r P r r c c n r c c n r P c n r P                                 K        1 1 1 1 2 2 1 1 2 2 1 2 1 2 1 2 1 1 3 1 i m n r a n i i i i n m m m m m r a r a n c r P r r c c r r c c r b                            b
  • 5. Example (Pa = 0 and Pb=15 MPa) 5 0 2 4 6 8 10 12 14 16 18 20 1 10 100 1000 EffectiveStress(MPa) r/a One Segment Two Segments Three Segments Four Segments Number of Creep-Law Segments Parameters Involved Steady-State Volumetric Closure Rate per Year 1 n1 and A1 0.010 2 n1, n2 and A1, A2 0.061 3 n1, n2, n3 and A1, A2, A3 0.085 4 n1, n2, n3, n4 and A1, A2, A3, A4 0.095 Compare Effective Stress at Cavern Wall For High-Stress and Multi-Segmented Creep Laws Multi-Segmented Creep Law Can Make 10 Times More Cavern Closure