Rigorous bounds for seismic dispersion and attenuation due to wave-induced fluid flow in porous rocks
MetadataShow full item record
The Hashin-Shtrikman (HS) bounds define the range of bulk and shear moduli of an elastic composite, given the moduli of the constituents and their volume fractions. Recently, the HS bounds have been ex tended to the quasi-static moduli of composite viscoelastic media. Because viscoelastic moduli are complex, the viscoelastic bounds form a closed curve on the complex plane. We analyze these general viscoelastic bounds for a particular case of a porous solid saturated with a Newtonian fluid. In our analysis, for poroelastic media, the viscoelastic bounds for the bulk modulus are represented by a semicircle and a segment of the real axis, connecting formal HS bounds that are computed for an inviscid fluid. Importantly, viscoelastic bounds for poroelastic media turn out to be independent of frequency. However, because the bounds are quasi-static, the frequency must be much lower than Biot’s characteristic frequency. Furthermore, we find that the bounds for the bulk modulus are attainable (realizable). We also find that these viscoelastic bounds account for viscous shear relaxation and squirt-flow dispersion, but do not account for Biot’s global flow dispersion, because the latter strongly depends on inertial forces.
Published by the Society of Exploration Geophysicists. © 2012 Society of Exploration Geophysicists.
A link to the Society's web site is available from the Related Links field.
Showing items related by title, author, creator and subject.
Gurevich, Boris; Makarynska, Dina; De Paula, Osni (2011)Recently, Hashin-Shtrikman bounds for bulk and shear moduli of elastic composites have been extended to the moduli of composite viscoelastic media. Since viscoelastic moduli are complex, the viscoelastic bounds form a ...
Theoretical and numerical modelling of the effect of viscous and viscoelastic fluids on elastic properties of saturated rocksMakarynska, Dina (2010)Rock physics is an essential link connecting seismic data to the properties of rocks and fluids in the subsurface. One of the most fundamental questions of rock physics is how to model the effects of pore fluids on rock ...
Sun, Y.; Gurevich, Boris; Lebedev, Maxim; Glubokovskikh, Stanislav; Mikhaltsevitch, Vassili; Guo, J. (2018)© 2018 European Association of Geoscientists & Engineers Quantifying the effects of pore-filling materials on elastic properties of porous rocks is of considerable interest in geophysical practice. For rocks saturated ...