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Predicting Temperature and Heat Flow in a Sandy Soil by Electrical Modeling

^a CONICET, Dep. de Hidráulica, Facultad de Ingeniería, UNLP, La Plata, Argentina
^b CONICET, Lab. de Oceanografía Costera, Facultad de Ciencias Naturales y Museo, UNLP, Casilla de Correo 45, (1900) La Plata, Argentina
^c CNR, Istituto per lo Studio della Dinamica delle Grandi Masse, Venezia, Italia

View larger version (11K): [in a new window]   Fig. 1. Model for measured solar radiation Sr(t) as the input signal. RT(t) = time dependent transfer function for the surface and the top centimeter of soil; I1(t) = heat flow at the surface and within the top centimeter of soil; I2(t) = heat flow transmitted below the 1-cm depth; T1(t) = soil temperature at depth of 1 cm; R-C = ladder of resistances and capacitances for modeling soil below the 1-cm depth.

View larger version (27K): [in a new window]   Fig. 2. Measured (light line) and calculated (dark line) temperatures at depths of 5 cm (a) and 50 cm (b) with the model excited by measured temperature at the 1-cm depth. Soil water content variable with depth and corrected every 5 d.

View larger version (28K): [in a new window]   Fig. 3. Solar radiation, Sr(t), and the function equivalent to an electrical conductance, GT(t), calculated with field data from 25 June to 2 July.

View larger version (19K): [in a new window]   Fig. 4. Measured (light line) and calculated (dark line) temperatures at the 1-cm depth for the first 5 d. Model excited by measured solar radiation Sr(t). The R-C ladder of Fig. 1 remained constant with time.

View larger version (31K): [in a new window]   Fig. 5. Measured (light line) and calculated (dark line) temperatures at the 1-cm depth for the first 16 d with the model excited by measured solar radiation Sr(t). The model failed to reproduce a sudden drop in measured temperature on Day 13.