Seismic and Acoustic Velocities in Reservoir Rocks, Utgave 10,Del 2

acoustic anisotropy approximation aspect ratio assumed assumption attenuation average Biot boundary bounds Budiansky bulk and shear bulk modulus c₁ c₂ calculated coefficient components compressibility compressional concentration considered cos² crack density curves deformation derived dispersion displacement distribution effective elastic effective moduli elastic constants elastic moduli elastic properties elastic waves ellipsoidal energy equation Eshelby estimate expression flow fluid-saturated fraction frequency function Gassmann Geophys Geophysics given grain hydrostatic isotropic K₁ Knopoff material matrix measured Mech melt normal O'Connell obtained P-wave parameters particles phase phase velocity Phys plane Poisson's ratio pore fluid porosity porous predictions pressure radius relation relaxation rock sandstone saturated scattering seismic seismic waves self-consistent shape shear modulus shear stress sin² spheres spherical inclusions spheroidal strain surface symmetry tangential tensor theory tion Toksöz uniaxial values viscosity volume wave propagation wave velocities Young's modulus zero