On Spatial Interpolation of Soil Temperature from Temperature Logs of Monitoring Wells

Introduction

Non-asymptotic numerical simulation of transient heat transfer requires knowledge of initial conditions. If the heat transfer medium is soil, they typically use temperature logs (depth-temperature tables) of monitoring wells for the initial time point. Then one may either use scattered-data interpolation [1] or solve a steady heat transfer problem with Dirichlet boundary conditions at temperature measurement points. If you choose the second way and the problem is nonlinear, there might be some convergence issues.
Soil Temperature Interpolation Based on Temperature Measurement Points

Figure 1: Soil Temperature Interpolation in Frost 3D Universal

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