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Rheology and wave propagation by J. M. Carcione (OGS)

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Presentation on theme: "Rheology and wave propagation by J. M. Carcione (OGS)"— Presentation transcript:

1 Rheology and wave propagation by J. M. Carcione (OGS) jcarcione@ogs.trieste.it

2 Page: 2 Shot gather Distance (m) Distance (m) Depth (m) Geological model Seismic exploration

3 Page: 3

4 Page: 4

5 Page: 5 Poro-elasticity

6 Page: 6 Strain energy - Stress-strain relation

7 Page: 7 Jacketed test

8 Page: 8 Unjacketed test

9 Page: 9 Elastic moduli

10 Page: 10 Gassmann modulus

11 Page: 11 Gassmann modulus- variation of fluid content

12 Page: 12 Gassmann modulus - Examples

13 Page: 13 Gassmann modulus - Examples

14 Page: 14 Gassmann modulus - Examples

15 Page: 15 Gassmann modulus - Fluid substitution

16 Page: 16 Kinematics of the porous medium

17 Page: 17 Dissipation and equations of motion

18 Page: 18 The waves

19 Page: 19 Visco-elasticity

20 Page: 20 Burgers model

21 Page: 21 Burgers model - stress-strain relation

22 Page: 22 Burgers model - Creep function

23 Page: 23 Mechanical models Maxwell Kelvin-Voigt Zener

24 Page: 24 Zener model - Creep function

25 Page: 25 Zener model - Relaxation function

26 Page: 26 Zener model - velocity and attenuation

27 Page: 27 Maxwell model - creep and relaxation

28 Page: 28 Memory variable

29 Page: 29 Viscoelastic equations

30 Page: 30 Anisotropy

31 Page: 31 Stress-strain relation

32 Page: 32 Triclinic media (21)

33 Page: 33 Transversely-isotropic media (5)

34 Page: 34 Orthorhombic media (9)

35 Page: 35 Monoclinic media (12)

36 Page: 36 Anisotropy - eigenstrains - attenuation iso

37 Page: 37 Anisotropy - Kelvin-Christoffel matrix

38 Page: 38 Anisotropy - Slowness-Wavefronts

39 Page: 39 Anisotropy and attenuation

40 Page: 40 Relevant references

41 Page: 41


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