Hydrodynamics of Time‐Periodic Groundwater Flow

A review of the in-situ capping amendments and modeling approaches for the remediation of contaminated marine sediments

“…Several researchers modeled periodic groundwater flow velocity as a sinusoidal function versus time where is the period for a full tidal cycle (Depner and Rasmussen, 2016). In general, consolidation is modeled as an increase of the water upwelling decreasing over time as the sediment seabed reaches the equilibrium.…”

Different Sensitivities of Earthquake‐Induced Water Level and Hydrogeological Property Variations in Two Aquifer Systems

“…These periodic responses are characterized using the amplitude attenuation between the forcing and the response, with their amplitude ratio being a function of the aquifer transmissivity (Rasmussen, et al., 2003) and storativity (Shi, Wang, Liu, et al., 2013; Sun et al., 2019). Also, the phase lag is an inverse function of the hydraulic diffusivity ( D = T / S ), with larger phase lags present in media with lower diffusivity (Depner & Rasmussen, 2016; Doan et al., 2006; Hsieh, Bredehoeft, & Rojstaczer, 1988; Rasmussen et al., 2003). The phase lag is a function of both horizontal flow within the aquifer as well as the lag time associated with water exchange between the aquifer and wellbore (Hsieh, Bredehoeft, & Farr, 1987), where the phase shift is absent in coupled (Doan et al., 2006) and inelastic (Rasmussen et al., 2003) systems.…”

Use of Groundwater Level Fluctuations near an Operating Water Supply Well to Estimate Aquifer Transmissivity

“…The aquifer response Δ S n at the distance r to a given harmonic, , can be written in terms of an amplitude solution (Black and Kipp 1981; Depner and Rasmussen 2016) for harmonic flow oscillation: where is the oscillation amplitude of the head change due to component , N 0 is the amplitude of the Kelvin function of the second kind and is the sum of squares of its real part Ker and its imaginary part Kei (Abramowitz and Stegun 1964).…”

“…The aquifer response S n at the distance r to a given harmonic, Q(t) = Q max n cos(ω n t), can be written in terms of an amplitude solution (Black and Kipp 1981;Depner and Rasmussen 2016) for harmonic flow oscillation:…”