Non-convex Flux Functions and Compound Shock Waves in Sediment Beds

Abstract

Summary. Sediment layers deposited under water undergo a deformation that for low soil concentrations can be described by a scalar nonlinear hyperbolic conservation law. The associated flux function is non-convex and compound shock waves arise, which are shocks followed or preceded by a rarefaction with the shock speed equal to the wave speed at the point of attachment. The paper describes an experimental study of compound shock waves in sediment beds and the numerical modelling of the sedimentation process using an experimentally obtained flux function for kaolinite soil. The work also fits in a broader investigation of the transition parameter between the physical processes of soil sedimentation and consolidation, as the data obtained allows identification of this parameter.

Strategies for Advancing Road Construction Slope Stability: Unveiling Innovative Techniques for Managing Unstable Terrain

“…Gibson's theory Gibson's theory (1967) [17] stands as a fundamental reference in the realm of consolidation by researchers such as Toorman (1999); Winterwerp (1999); Merckelbach (2000); Bartholomeeusen (2003); and others [18] [19] [20] [21]. The Gibson equation is expressed as (Equation ( 16)):…”