Abstract
An estimation of the velocity field in a 2D section of an anisotropic homogeneous soil dike, using internal temperature measurements, is proposed here. Non-linear-Kalman-filter-based inversion algorithms are applied on the advection-diffusion equation coupled with Darcy's equation in this dike, which is considered as a porous medium with variable saturation. A sensitivity study shows that for large enough seepage rates the thermal behaviour of the dike is purely advective in the horizontal direction, because of the anisotropy of the dike: the horizontal hydraulic conductivity is the main physical parameter that governs the velocity field in this porous medium. As a consequence, a reduced one-dimensional model is used for inversion. It is tested on simulated and real measurements (the unknown initial temperature distribution can also be estimated).
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