Analytical Solution for Estimating Transient Vertical Groundwater Flux from Temperature-Depth Profiles
Ying-Fan Lin, Chia-Hao Chang, Jui-Pin Tsai · Journal of Hydrology · 2022
DOI 10.1016/j.jhydrol.2022.127920What is missed when vertical groundwater flux is forced to remain constant?
The paper examines whether repeated temperature-depth profiles can recover a changing vertical groundwater flux rather than one time-invariant value.
Heat transport through a vertically flowing subsurface
A one-dimensional subsurface heat-transfer problem driven by time-varying surface temperature and vertical groundwater flow, observed through temperature-depth profiles.
Transient analytical heat transfer used inside an inverse problem
The analytical solution predicts temperature through depth and time, allowing candidate flux histories to be evaluated efficiently against observed profiles.
The inverse target becomes a flux history
The analytical solution agrees closely with a finite-element reference, the numerical experiment recovers the prescribed transient flux, and the field estimate is reported to be close to measured flux.
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