Physics
Scientific paper
Jun 2005
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005geoji.161..881b&link_type=abstract
Geophysical Journal International, Volume 161, Issue 8, pp. 881-890.
Physics
2
Scientific paper
A general analysis of poroelasticity for vertical transverse isotropy (VTI) shows that four eigenvectors are pure shear modes with no coupling to the pore-fluid mechanics. The remaining two eigenvectors are linear combinations of pure compression and uniaxial shear, both of which are coupled to the fluid mechanics. After reducing the problem to a 2 × 2 system, the analysis shows in a relatively elementary fashion how a poroelastic system with isotropic solid elastic frame, but with anisotropy introduced only through the poroelastic coefficients (and, therefore, termed soft anisotropy), interacts with the mechanics of the pore fluid and produces shear dependence on fluid properties in the overall poroelastic system. The analysis shows, for example, that this effect is always present (though sometimes small in magnitude) in the systems studied and can be comparatively large (on the order of 10 to 20 per cent) for wave propagation studies in some rocks, including Sierra White granite and Spirit River sandstone. Some of the results quoted here are obtained by using a new product formula relating local bulk and uniaxial shear energy to the product of the two eigenvalues that are coupled to the fluid mechanics. This product formula was first derived in prior work. The results obtained here are observed to be useful both for explaining difficult to reconcile laboratory wave propagation (especially ultrasonic) data showing that the shear modulus exhibits clear dependence on fluid content and also for benchmarking of poroelastic codes.
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