Analytical solutions for steady and transient flow in non-homogeneous and anisotropic rock joints

摘要: Abstract Analytical solutions are presented for the distributions of head and velocity due to flow water in a single rectangular rock joint with anisotropic non-homogeneous hydraulic properties. The can be intersected by point sources or sinks representing boreholes drains. is laminar, steady transient. based on integral transforms such as Fourier Laguerre provide continuous differentiable expressions components at each domain any time t. Thus, there no need discretize surface into elements finite element difference methods. handle arbitrary variations aperture roughness. Preferential paths channel predicted once void space characterized. Deviations from cubic law variable roughness also studied non-empirical manner. Numerical examples illustrating some applications proposed solutions.