Glossary of main symbols

XXI

Glossary of main symbols displacement vector. particle-velocity vector. strain components1. eij, eij dilatation. •&, e d2 deviator. strain array (tensor). a {au (7i:j), S stress array (tensor). density. P C (cu) elasticity matrix. relaxation function2. M complex modulus. relaxation times. memory variable. e (ei) relaxation matrix. complex stiffness matrix. P (Pu) eigenstiffnesses. A/ s slowness vector. K real wavenumber vector. k complex wavenumber vector. attenuation vector3. a a attenuation factor. r (Tij) Kelvin-Christoffel matrix. Umov-Poynting vector. p Green's function. G

ec eB

kinetic energy. strain energy. total energy. rate of dissipated energy. quality factor. phase velocity. group velocity. envelope velocity. energy velocity. porosity. viscosity. permeability. displacement of the solid. displacement of the fluid. displacement of the matrix variation of fluid content. relative fluid displacement. dry-rock moduli. Gassmann's modulus. pore compressibility. tortuosity. viscodynamic operator. critical angle. Brewster angle.

electric vector. n magnetic vector4. electric displacement. K magnetic induction. E, dielectric-permittivity tensor5. R conductivity tensor. magnetic-permeability tensor. T

refraction index. dielectric energy. conductive energy. magnetic energy. internal (hidden) variable. reflection coefficient. transmission coefficient6.

u

V

E H D B e

A j 2

j

T V E

b Q vp V

9

Venv Ve

(j) V R

uw u (/) u (m)

c

w a

KG Cp

T Y

J'J

Also used to denote the angle of the energy-velocity vector. 3 Also used to denote the effective-stress-coefficient matrix. 4 Also used to denote the propagation matrix. 5 e^ and e??: static and optical components; e0: dielectric permittivity of free space. 6 Also used to denote the kinetic energy.