On the dynamic response of a layered heterogeneous rough irregular double porous composite rock structure due to a moving line load

• Published in: Journal of engineering mathematics Vol. 150; no. 1
• Main Authors: Mishra, Aparajita, Negi, Anil
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Nature B.V 01.02.2025
• Subjects: Boundary conditions; Boundary value problems; Dynamic loads; Dynamic response; Earthquake loads; Half spaces; Heavy vehicles; Heterogeneity; Irregularities; Load; Mathematics; Movement; Numerical analysis; Parameters; Perturbation methods; Porous media; Reservoirs; Seismic response; Shear stress; Stresses
• ISSN: 0022-0833; 1573-2703
• DOI: 10.1007/s10665-025-10427-w

In the reservoir region, the movement of a dynamic load (like a heavy vehicle or a seismic load) can cause the generation of significant incremental stresses on the surface of engineering structure. The increase in incremental stresses due to the dynamic load can significantly affect the structure’s strength. Therefore, it is imperative to examine the dynamic behavior of rock structures in reservoir regions to ensure safe and efficient operations. The present investigation provides the dynamic response of a layered heterogeneous irregular double porous rock structure (generally found near reservoir regions) influenced by a moving line load. The double porous composite rock structure is consisted of two different portions: upper irregular incompressible heterogeneous transversely isotropic double porous (TIDP) layer medium and lower isotropic double porous half-space (IDP) medium. The structure’s mathematical formulation provides a boundary value problem with defined boundary conditions and the perturbation technique has been used to tackle the surface irregularity. The expressions of the induced normal and shear stresses caused by a moving line load in the considered double porous rock structure are derived analytically in the closed form. The influence of various parameters such as heterogeneity parameter associated with the upper TIDP layer, frictional coefficient, irregularity depth, porosity parameters (corresponds to both upper TIDP layer and lower IDP half-space) and the irregularity factor on the induced stresses (normal as well as shear stresses) in the TIDP layer and IDP half-space have been studied graphically by using numerical computation. Some special outlines have also been depicted graphically.