By T. Ahrens

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J. O’Connell, Elastic properties of composite materials, Rev. Geophys. , 14, 541, 1976. , 1965. , 1983. , Biot-Gardner theory of extensional waves in porous rods, Geophysics, 51,742,1986. , L. Martineau-Nicoletis, and C. Monash, Measured shale, anisotropy in Pierre Geophysical Prospecting, 31, 709, 1983. S. D. McClure, A method for determining and displaying the shear-velocity reflectivities of a geologic formation, European Patent Application Winkler, 99. 100. 101. 102. 103. 104. 105. , H. Liu, and D.

Additional shock experiment data can be found in (1) and (3). 2 Thermodynamic Functions The thermodynamic properties presented here for water are taken from Haar et al. (15). Haar et al. use an equation of state for water that represents its properties by a molar Helmholtz energy function, A, which is written in terms of temperature (7) and density (p). Other thermodynamic properties can be derived from the appropriate derivatives of the Helmholtz function. Those presented here include entropy (s), enthalpy (E-T), and heat capacity at constant pressure CC,,).

Permeability enhances both slowness and attenuation at low frequencies. virtually no attenuation [78]. As monolayers of liquid are deposited on the internal surface of rock, velocity decreases and attenuation increases. Representative data from Clark et al. [21] are shown in Figure 8, where attenuation and normalized velocity are plotted as functions of water partial pressure. These data have been modeled [54. 831 as fluid monolayers lowering the surface energy of the grains and thereby reducing the cohesion and stiffness of the grain contacts.

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AGU Ref Shelf. Rock Physics and Phase Relations by T. Ahrens

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