Generalized O`Doherty-Anstey formula for P-SV waves in random multilayered elastic media
- Univ. of Karlsruhe (Germany)
The authors study the influence of elastic vertically inhomogeneous, e.g., finely layered random media (of variable density and shear and sonic velocities) on the kinematics and dynamics of an obliquely propagating P-SV plane-wave transmissivity. They obtain explicit analytic solutions for the attenuation coefficients and phase velocities. These solutions are valid for all frequencies. They are fairly simple and can be directly used for practical applications. The theory has been numerically tested on practically relevant models of media. The results of simulations agree very well with the analytic solutions. The theory describes the effect of frequency-dependent anisotropy of velocities and attenuations of transmitted waves due to elastic multilayering. Its low- and high-frequency asymptotic results for the phase velocities agree with those of Backus averaging and ray approximation respectively. The results for the attenuation coefficients constitute a set of generalized O`Doherty-Anstey formulas.
- OSTI ID:
- 93100
- Report Number(s):
- CONF-941015--
- Country of Publication:
- United States
- Language:
- English
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