Size-dependent analysis of surface wave in irregular fractured porous seabed subjected to fractional-order derivative
Alokam Meghana, Rachaita Dutta, Vipin Gupta, Abhinav Singhal, Eduard‐Marius Craciun, Soumik Das
Abstract
This study focuses on the investigation of the dispersive and damping characteristics of surface waves through an irregular boundary of ocean bed composed of a fluid-saturated dual porosity/dual permeability material. The nonlocal fluid-saturated dual porosity/dual permeability layer (NFSDP2L) is confined by a nonlocal viscous liquid layer (NVLL) and a nonlocal viscous sandy substrate (NVSS) having fractional viscoelastic properties. The governing equations for the proposed model are derived using Eringen’s nonlocal theory. The complex frequency relation is obtained by applying the variable separation technique and enforcing appropriate boundary conditions. By dissociating the frequency relation into real (dispersion equation) and imaginary (attenuation equation) parts, graphs are generated to illustrate the influence of several key parameters., viz. nonlocality, porosity, sandiness, fractional-order, fluctuation, flatness, and position on the fundamental and higher modes of propagating waves. The effects of various parameters are also depicted through the graphical illustration of shear wave speed in NFSDP2L and NVSS. Furthermore, the surface response of shear stress against depth within the layered structure has been graphically illustrated. The validity of our mathematical model has been assessed by examining multiple relevant scenarios.