Case: $\mu^* = \mu$

Even if there is no difference between $\mu^*$ and $\mu$, there can still be significant differences between k_s^* and k_s due to the differences in the fluid viscosities and densities of liquid and gas constituents. So we will treat this case next.

For Massillon sandstone, Murphy (1982, 1984) measured extensional and shear wave velocities at f = 560 Hz over a range of partial saturations produced using the drainage method. Relevant properties of this sandstone are listed in TABLE 2.

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TABLE 2.Properties of Massillon sandstone used in Murphy's experiments (Murphy, 1982; 1984) and Spirit River sandstone in Knight and Nolen-Hoeksema's experiments (Knight and Nolen-Hoeksema, 1990).

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massillon_vs
Figure 2 Shear wave velocities as a function of water saturation for drainage experiments of Murphy (1982,1984).