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SCHRIFTENREIHE Institut für Pflanzenernährung und Bodenkunde ...

SCHRIFTENREIHE Institut für Pflanzenernährung und Bodenkunde ...

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Chapter 6 Modeling of Coupled Water and Heat Transfer in Freezing and Thawing Soil<br />

Simulated Soil Temperatures and Water Contents<br />

Soil water and heat fluxes are numerically simulated for the whole<br />

hydrological year in 2006. This is exemplified by two sites of UG 79 (Fig. 4) and<br />

WG (Fig. 5). In general, the simulated and measured soil water contents (SWC)<br />

are comparable during the studied periods (Figs. 4-5; RMSE of 0.02-0.07 cm 3<br />

cm -3 for UG 79 and 0.02-0.08 cm 3 cm -3 for WG). Particularly, the freezing model<br />

simulates well the diurnal water dynamics caused by phase changes between<br />

water and ice, i.e. soil moisture increases with increasing soil temperature and<br />

vice versa (Figs. 4b and 5b). This suggests the freezing and thawing processes<br />

can be accurately simulated by the applied freezing code. However, the snow<br />

routine is only available for the simulation of soil water contents <strong>und</strong>er unfrozen<br />

condition. Under frozen condition, there is a clear disparity between the liquid<br />

water content line simulated by the freezing model and the total water content<br />

line simulated by the snow routine (Fig. 4a and 5a). This discrepancy is<br />

apparently caused by the function of the two models, and may be used to<br />

approximate the ice content in the soil. Thus, the comparison between the two<br />

model approaches just provides a way to calculate the ice content. For instance,<br />

the SWC simulated by the freezing model drops shortly after 6 th November<br />

associated with soil freezing in UG 79 (Fig. 4a). However, the SWC simulated by<br />

snow routine keeps constant. From which, an ice content of 0.07 cm 3 cm -3 can<br />

be estimated. Similarly, the ice content in WG is 0.05 cm 3 cm -3 (Fig. 5a). This<br />

also gives an evidence of grazing effects on soil freezing point and ice content.<br />

In late March, coinciding with soil temperature increasing above 0°C, both<br />

simulated (freezing model) and measured SWC raise, while simulated SWC by<br />

snow routine keeps constant. This again proofs that the freezing model can<br />

predict well the increase in SWC by soil thawing. An increase in SWC in the<br />

deeper soil layers (20 and 40 cm) accompanied by soil thawing is also clearly<br />

predicted (Figs. 4-5). However, there is no indication of vertical water movement<br />

since soil water content is low and it can be held by soil.<br />

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