Forward modeling of seismic-while-drilling data in anisotropic viscoelastic media with anisotropic attenuation
Résumé
We have derived a system of equations for seismic-while-drilling viscoelastic wave modeling in a medium with transverse isotropy (TI) in velocity and attenuation based on a standard linear solid model. Considering anisotropy in attenuation changes the conventional frequency-dependent constant Q model to a Q matrix in a 2D problem. We derive and represent the new system of equations for this stressstrain relationship. The numerical implementation of this system is with the finite-difference method (second-order accuracy in time and fourth-order accuracy in space). Also, we use a drillstring dynamics modeling based on wave equation to model the source signature of seismic-while-drilling data. Our results show that the proposed approach is capable of capturing TI effects in attenuation and illustrating the efficiency of this system of equations for applications in seismic imaging and inversion.
Domaines
Géophysique [physics.geo-ph]Origine | Fichiers produits par l'(les) auteur(s) |
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