Constitutive model and wave equations for linear, viscoelastic, anisotropic media
- Osservatorio Geofisico Sperimentale, Trieste (Italy)
Rocks are far from being isotropic and elastic. Such simplifications in modeling the seismic response of real geological structures may lead to misinterpretations, or even worse, to overlooking useful information. It is useless to develop highly accurate modeling algorithms or to naively use amplitude information in inversion processes if the stress-strain relations are based on simplified rheologies. Thus, an accurate description of wave propagation requires a rheology that accounts for the anisotropic and anelastic behavior of rocks. This work presents a new constitutive relation and the corresponding time-domain wave equation to model wave propagation in inhomogeneous anisotropic and dissipative media. The rheological equation includes the generalized Hooke`s law and Boltzmann`s superposition principle to account for anelasticity. The attenuation properties in different directions, associated with the principal axes of the medium, are controlled by four relaxation functions of viscoelastic type. A dissipation model that is consistent with rock properties is the general standard linear solid. This is based on a spectrum of relaxation mechanisms and is suitable for wavefield calculations in the time domain.
- OSTI ID:
- 37131
- Journal Information:
- Geophysics, Vol. 60, Issue 2; Other Information: DN: Presented at the 62nd Annual International Meeting, Society of Exploration Geophysicists; PBD: Mar-Apr 1995
- Country of Publication:
- United States
- Language:
- English
Similar Records
A general methodology for inverse estimation of the elastic and anelastic properties of anisotropic open-cell porous materials—with application to a melamine foam
A Constitutive Model for Flow-Induced Anisotropic Behavior of Viscoelastic Complex Fluids