Transport in Porous Media, Vol.73, No.3, 333-347, 2008
Fourier representation of intermittent flow in a porous medium
The field measurements and numerical results for intermittent flow regime in a sandy soil show that the time distributions of the soil water flux q(z, t), and the soil water content theta(z, t)at various depths are periodic in nature, where t is time and z is the depth (i.e., at the surface z = 0 and at depths z = -5, - 10, -15 cm, etc). The period of q(z, t) and theta(z, t) variations are generally determined by the sum of the duration of pulse and the duration between the initiation of two consecutive pulses of water at the soil surface. Fourier series models have been given for q(z, t) and theta(z, t) variations. The predicted Fourier results for these variations have been compared with the experimentally verified numerical results-designated as observed values. The results show that the amplitudes of these variations were damped exponentially with depth, and the phase shift increased linearly with depth.