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Biot-Willis Parameter in a Poroelastic Anisotropic Media Saturated with Low Viscosity Liquid, Static and Dynamic Case
- Publisher: European Association of Geoscientists & Engineers
- Source: Conference Proceedings, 81st EAGE Conference and Exhibition 2019, Jun 2019, Volume 2019, p.1 - 5
Abstract
Changes in elastic properties with frequency and stress play a key role in geophysical interpretation and application. The effective stress tensor of an isotropic poroelastic medium is linked with the pore pressure through the Biot parameter (α). This paper provides an independent derivation of the tensor α…j through elastic moduli and its frequency dependency for an anisotropic medium with connected pores saturated with a fluid of low viscosity. We then estimate frequency dependent elastic constants and α…j components for a transversely isotropic (TI) media. We also calculate the α…j components from literature data by inverting ultrasonic velocities of TI rock under uniaxial stress. We notice significant differences between vertical and horizontal components of α specially at surface seismic frequency range and also with stress in both numerically modeled data and experimental data for the TI media.