P-wave, SV-wave, and SH-wave velocities are computed for transversely isotropic solids formed from two isotropic solids. The combinations are shale-sandstone and shale-limestone solids of an earlier paper (Levin, 1979), but one velocity of the nonshale component is allowed to vary over the range of Poisson's ratios sigma = 0 to sigma = 0.45, i.e., from a rigid solid to a near-liquid.When the S-wave velocity of either the sandstone or limestone is varied, the ratio of horizontal P-wave velocity to vertical P-wave velocity goes through a maximum as sigma increases and subsequently falls to values less than unity as sigma approaches 0.5. The P-wave velocity that would be found with a short surface spread also goes through a maximum and, at sigma = 0.5, is less than the P-wave velocity of either isotropic component. SV-wave velocities found for data from a short spread are unreasonably large; SH-wave velocities decrease monotonically as sigma increases, but the ratio of horizontal SH-wave velocity to vertical SH-wave velocity goes through a minimum of unity.

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