1. D2011 Project CEA-IRSN Results Alain MILLARD, Frédéric DELERUYELLE Gyeongju, Korea, April 20-23, 2009 Task A - STEPS 0/1

2. Contents Step 0 –New theoretical model –Drying test results Step 1 –Hypothesis –Preliminary results Conclusion

3. Step 0 Model used previously : –P g = P atm –No vapor diffusion (Richard’s approximation) –Intrinsic permeability : –Relative permeability : –Adopted values : K 0 = 2. 10 -20 m 2 λ’ = 0.68

4. Drying test

5. Results K 0 = 2.0 10 -20 m 2, H r = 33% Water content profilesChange in mass with time

6. New theoretical model Total water mass balance : Liquid mass flux : Constant gaz pressure hypothesis : p g = p atm Vapor mass flux : Vapor pressure : =>

7. New theoretical model Vapor diffusivity in air : New adopted values : K 0 = 1. 10 -19 m 2 λ’ = 0.4

8. New results K 0 = 1.0 10 -19 m 2, H r = 33% Water content profilesChange in mass with time

9. Step 1 – VE Experiment Phases 0,1 Phase 1

10. Step 1 – Hypothesis 2D plane strain model Isotropic properties Isotropic in-situ stresses Constant temperature T=15°C Same models and properties as for Step 0 Influence of boundary conditions in tunnel Phases 0 and 1 : calculation over 2120 days

11. Mesh 130 m

12. Initial and boundary conditions σ = -3.2MPa, P l = 1.21MPa P l = Hr (t) or exchange U. n = 0 Φ l. n = 0 σ (0) and P l (0) affine in z S l (0) = 1 φ (0) = 0.16

13. Hr(t) in the tunnel prescribed Mean in SA3 Mean in tunnel

14. Exchange bc in the tunnel ► Inside the tunnel : ► Identification of α on the mean evaporated water mass from the water pans : ● From 08/09/2003 to 28/01/2004 : Δm = 686.5 g ● Use of mean h r ext (t) in SA3 => α = 7.143 10 -6 Kg/m 2 /s

15. Base case No vapor diffusion K 0 = 2. 10 -20 m 2 λ’ = 0.68 Prescribed mean h r in the tunnel E = 6000 MPa

16. Extracted water mass kg

17. Relative humidity – SB1 0,67 m 0,90 m 1,00 m 1,15 m 1.40 m

18. Relative humidity – SB2

19. Relative displacement – SD1 mm

20. Relative displacement – SD2 mm

21. Water pressure kPa

22. Initial water pressure 2 MPa -12 MPa 0.

23. Variant 1 Vapor diffusion accounted for K 0 = 1. 10 -19 m 2 λ’ = 0.4 Prescribed mean H r in the tunnel E = 6000 MPa

24. Extracted water mass

25. Relative humidity – SB1

26. Relative humidity – SB2

27. Relative displacement – SD1

28. Relative displacement – SD2

29. Water pressure

30. Variant 2 Vapor diffusion accounted for K 0 = 1. 10 -19 m 2 λ’ = 0.4 Exchange boundary condition in the tunnel E = 1000 MPa

31. Extracted water mass

32. Relative humidity – SB1

33. Relative humidity – SB2

34. Relative displacement – SD1

35. Relative displacement – SD2

36. Water pressure

37. Conclusions Step 0 : –Accounting for vapor diffusion in a simplified way –Results similar to other teams Step 1 : –Preliminary results –Best results using vapor diffusion and exchange condition –Over-estimated extracted water mass –Reduced rock stiffness

38. Thank you for your attention