A mathematical model is considered to investigate the behavior of horizontally polarized shear waves (SH-waves) in fluid saturated porous medium sandwiched between heterogeneous half-spaces. Heterogeneity in the upper half-space is due to linear variation of elastic parameters, whereas quadratic variation has been considered for lower half-space. The method of separation of variables and Whitta...

Ordered and disordered behavior in large ensembles of coupled oscillators map to different functional states a wide range applications, e.g., active resting the brain stable unstable power grid configurations. For this reason, explosive synchronization transitions, which facilitate fast, abrupt changes between these states, has recently seen significant interest from researchers. While previous...

The characterization of two-phase flow has been commonly based on homogeneous wet capillary models, which are limited to heterogeneous porous media. In this work, pressure and relative permeability models for three systems derived, enable the analysis effect oil-wet ratio mechanism. pressures, permeabilities water cut curves simulated at primary drainage stage. results show that water-wet exhib...