Diffusion Wave Approximation of Depth-Averaged Flow Interaction with Porous Media

A two-dimensional diffusive wave framework is proposed for modeling interaction between flow through and outside porous media. The depth-integrated parabolic model was developed with an assumption of zero temporal/convective accelerations, making it appropriate for field-scale simulations. The effects of bed shear arising from the bathymetry, roughness, and properties of granular media are consolidated into a single hydraulic diffusivity coefficient. The equation is resolved in a structured finite-volume grid with implicit time stepping. The proposed framework was validated with a standard analytical solution and small-scale experimental results. A synthetic test case containing irregular ground surface demonstrated the capability of the proposed model for real-time simulation. (C) 2020 American Society of Civil Engineers.

Automated summary

A two-dimensional diffusive wave framework was proposed to model the interaction between flow through and outside porous media using a depth-integrated parabolic model suitable for field-scale simulations with zero temporal/convective accelerations. The effects of bed shear from bathymetry, roughness, and granular media properties were consolidated into a single hydraulic diffusivity coefficient. The framework was validated with standard analytical solutions and small-scale experimental results, demonstrating its capability for real-time simulation with a synthetic test case of irregular ground surfaces.