Thermal response of sediment with vertical fluid flow to periodic temperature variation at the surface

By S. Goto, M. Yamano, M. Kinoshita. 2005

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A field comparison of multiple techniques to quantify groundwater–surface-water interactions (2015, background): “Analysis of temperature measurements The governing equation for 1-dimensional heat transfer in a saturated fluid-sediment system is (Anderson 2005, Carslaw and Jaeger 1959, Stallman 1965, Goto et al. 2005): ∂T ∂t þ qseepage γ ∂T ∂z −κe ∂2T ∂z2 ¼ 0 (Eq.”
Solutions for the diurnally forced advection‐diffusion equation to estimate bulk fluid velocity and diffusivity in streambeds from temperature time series (2012, background): “Substantial work has been completed on the sensitivity of these two related analytical techniques to parameters, errors in parameters, or violation of model assumptions [Goto et al., 2005; Hatch et al., 2006; Lautz, 2010; Shanafield et al., 2011].”
Experimental investigation of the thermal dispersivity term and its significance in the heat transport equation for flow in sediments (2012, background): “, 2002], near-surface vertical flow estimates [e.g., Suzuki, 1960; Stallman, 1963, 1965; Goto et al., 2005], subsurface heat flow [e.”