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

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Presentation transcript:

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

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

Page: 3

Page: 4

Page: 5 Poro-elasticity

Page: 6 Strain energy - Stress-strain relation

Page: 7 Jacketed test

Page: 8 Unjacketed test

Page: 9 Elastic moduli

Page: 10 Gassmann modulus

Page: 11 Gassmann modulus- variation of fluid content

Page: 12 Gassmann modulus - Examples

Page: 13 Gassmann modulus - Examples

Page: 14 Gassmann modulus - Examples

Page: 15 Gassmann modulus - Fluid substitution

Page: 16 Kinematics of the porous medium

Page: 17 Dissipation and equations of motion

Page: 18 The waves

Page: 19 Visco-elasticity

Page: 20 Burgers model

Page: 21 Burgers model - stress-strain relation

Page: 22 Burgers model - Creep function

Page: 23 Mechanical models Maxwell Kelvin-Voigt Zener

Page: 24 Zener model - Creep function

Page: 25 Zener model - Relaxation function

Page: 26 Zener model - velocity and attenuation

Page: 27 Maxwell model - creep and relaxation

Page: 28 Memory variable

Page: 29 Viscoelastic equations

Page: 30 Anisotropy

Page: 31 Stress-strain relation

Page: 32 Triclinic media (21)

Page: 33 Transversely-isotropic media (5)

Page: 34 Orthorhombic media (9)

Page: 35 Monoclinic media (12)

Page: 36 Anisotropy - eigenstrains - attenuation iso

Page: 37 Anisotropy - Kelvin-Christoffel matrix

Page: 38 Anisotropy - Slowness-Wavefronts

Page: 39 Anisotropy and attenuation

Page: 40 Relevant references

Page: 41