Modelagem analítica do perfil de temperatura no solo. / Analytical soil-temperature model.

AUTOR(ES)
DATA DE PUBLICAÇÃO

2004

RESUMO

Soil temperature influences many physical, chemical and biological processes that occur in soil. The exponential-sinusoidal one-dimensional analytical model reasonably describes soil temperature, T (oC), as a function of time, t (s), and depth, z (m), 0 ≤ z <∞. Surface temperature may be represented by the sum of two sinusoids, one related to annual and the other to daily temperature variations, each one having constant amplitude. A correction for the temporal variation of daily amplitude is introduced here. The heat equation is solved analytically, with minimal increase in complexity compared to the traditional solution. Temperature predictions obtained from the novel analytical solution are compared with predictions from the usual solution that treats the daily amplitude as a constant. Comparisons demanded experimental parameters, which were obtained from scientific literature. Predictions are compared using four concepts: (i) damping depth, D; (ii) penetration depth, zM; (iii) root mean squared error (RMSE); and (iv) root mean squared error defined by a definite integral (RMSEI). The concept of zM was introduced here, through a simple equation, which allows calculation of the depth zm, at which T(zM,t) can be approximated to Ta (average annual value of soil temperature at zM). The concept of RMSEI was also introduced here, and replaces a sum by a definite integral. The RMSEI can be used to compare analytical models, as it was the case here. Values of D and zM show that the correction is negligible for z >0,6 m. Values of RMSE show that the correction is considerable for z = 0,1 m. For individual days, at a depth z = 0,1 m, the maximum value was RMSE = 0.30 oC; for whole months, the maximum value was RMSE = 0.29 oC. RMSEI values were practically the same as RMSE values. The correction introduced here was small at all depths. However, the only additional information required to apply the novel equation is information on temporal variation of daily amplitude, so this equation should be preferred when such data are readily available.

ASSUNTO(S)

temperatura do solo propriedades térmicas analytical model soil-temperature modelo analítico

ACESSO AO ARTIGO

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