HR: 0830h
AN: S11C-0304 INVITED [PDF]
TI: Velocity Ellipsoids for Crustal Seismic Anisotropy: Pumpkins and Melons Have Dimples and
Bulges
AU: * Okaya, D
EM: okaya@usc.edu
AF: Univ. So. California, Dept Earth Sciences, USC, Los Angeles, CA 90089-0740 United States
AU: Christensen, N
EM: chris@geology.wisc.edu
AF: Univ. Wisconsin, Dept. Geology, U. Wisc., Madison, WI 53706 United States
AB:
Geological causes of crustal anisotropy include regional fractures and cracks, isotropic heterogeneity or layering, and
material composition and textural properties. In addition, shear or metamorphic foliations in fault zones or structural
terranes serve as proxies for intracrustal deformation in a manner analogous to lattice preferred orientation of olivine
produced by mantle shear. The primary factor in the production of crustal seismic anisotropy is the relative angle between a
seismic wave and the (dipping) symmetry axes representing the crustal material even as either change along the propagation
raypath. As a result, in order to analyze observations of crustal anisotropy we must understand the behavior of
compressional and shear wave velocities in all propagation directions parallel to and in-between the principal symmetry axes
which represent the crustal materials. In this poster we use Christoffel equations and physical properties obtained from
petrophysical lab measurements in order to examine anisotropic velocities and travel-time effects for bulk rocks
representative of different crustal levels.
Ellipses and ellipsoids are commonly used to represent the P- and S-wave velocity directional behavior for materials
described using hexagonal and orthorhombic symmetries, respectively. While olivine and pyroxene-based mantle rocks are
characteristically fast symmetry axes (the "melons" of Levin and Park, 1997), crustal rocks are typically slow symmetry axes
("pumpkins") due to the predominance of fractures or textural foliations. Careful application of Christoffel solutions
indicate that for most crustal (and mantle) rocks the surfaces of their pumpkins or melons are not exact analytical
ellipsoids. Rather, the surfaces in the non-axial directions have second-order deflections (bulges or dimples) which
potentially may produce observable azimuthal travel-time or shear splitting effects. In the case when the P-wave surface on
average is slow (dimpled), due to SV and SH crossover the travel-time of the first-arrival S will have an irregular 8-theta
appearance. When the P-wave surface is on average fast (bulged), SV and SH do not cross over and a normal 2-theta S arrival
time should occur. In this latter case, however, the shear wave splitting behavior has a 4-theta regularity which is
maximized diagonal to the symmetry axes. The ellipsoidal deflections of dimples and bulges are related to VP as measured in
non-axial directions (petrophysical diagonal measurments, for example). The deflections can exist for both crustal and
mantle rocks (pumpkins and melons). In our poster we will explain the Christoffel derivation of the dimples and bulges,
present examples of petrophysically-based P and S wave ellipsoids and discuss travel-time and shear wave splitting
implications for observational data collected within the crust.
DE: 5100 PHYSICAL PROPERTIES OF ROCKS
DE: 7203 Body wave propagation
DE: 7260 Theory and modeling
DE: 8025 Mesoscopic fabrics
DE: 8110 Continental tectonics--general (0905)
SC: Seismology [S]
MN: 2003 Fall Meeting