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A model is presented for the gravity-driven flow of rainwater descendingthrough the soil layer of a green roof, treated as a porous medium on a flatpermeable surface representing an efficient drainage layer. A fully saturatedzone is shown to occur. It is typically a thin layer, relative to the totalsoil thickness, and lies at the bottom of the soil layer. This provides abottom boundary condition for the partially saturated upper zone. It is shownthat after the onset of rainfall, well-defined fronts of water can descendthrough the soil layer. Also the rainwater flow is relatively quick comparedwith the moisture uptake by the roots of the plants in the roof. In separatemodels the exchanges of water are described between the (smaller-scale) porousgranules of soil, the roots and the rainwater in the inter-granule pores.

A Mathematical Model of the Rainwater Flows in a Green Roof