A mathematical model for a buried source in the layered reduced micropolar half-space

Abstract

The dependency of rotations on translations in the classical elastic theory and the mismatched experimental rotations to the theoretical one leads to the exploration of the reduced micropolar theory. A mathematical model is presented for the response of a layered reduced micropolar half-space subjected to a seismic buried source. In this study, the Cartesian coordinate system is used to derive the proposed formulation, which is helpful to understand the effect of extended seismic sources. In the sequel, full space solutions are derived subjected to impulsive seismic moment tensor in the reduced micropolar medium. The numerical results for the multilayered medium are presented for the point sources, and obtained rotations in the layered reduced micropolar half-space (L-RMHS) are high from the layered elastic half-space (L-EHS). The response in homogeneous reduced micropolar half-space (H-RMHS) is comparatively low compared to the L-RMHS for point sources and as well for finite-fault. The rotational faulting effect is found to be negligible in the far-field region.