Pmat is the potential matrix n is zero for matrix potential Pmat < 0 and 1 for Pmat > 0
Z is the specific storage
ß is the soil porosity dsoil,w is the density of soil water dpure,w is the density pure water
Ol represents flux density for the liquid phase
Ov represents flux density for the water vapour phase z and y indicate axes of Cartesian co-ordinate system
To formulate the hydraulic conductivity of the liquid flux for a soil in an oasis where we utilise the irrigation by furrows we can consider a gain factor G that depends on the water content, soil type, water drainage. The hydraulic conductivity of the liquid flux can be given as follows (Hamdy, A. and Choukr-allah, R., 2002):
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