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System-Dependent Boundary Condition for Water Flow from Subsurface Source

N. Lazarovitch^a, J. imnek^b and U. Shani^a,*

^a Dep. of Soil and Water Sciences, Faculty of Agricultural, Food and Environmental Sciences, The Hebrew University of Jerusalem, P.O. Box 12, Rehovot 76100, Israel
^b Dep. of Environmental Sciences, University of California, Riverside, CA USA

View larger version (97K): [in a new window]   Fig. 1. Finite element grid and flow domain. Water flows from the half sphere on the left (zoomed). Boundary condition [1] is specified on the sphere surface, while no water flow condition is used on the other boundaries.

View larger version (21K): [in a new window]   Fig. 2. Measured (triangles and circles) and calculated (lines) soil pressure heads as a function of time for two subsurface sources (4 and 8 L h–1) in the Magal clay loam with the source radius r0 of 0.01 m and the inlet pressure Pin of 10 m. Error bars represent ± standard deviation.

View larger version (15K): [in a new window]   Fig. 3. Measured (triangles) and calculated (lines) discharge from a subsurface source as a function of time for an 8 L h–1 source and the Magal clay loam with the source radius r0 of 0.01 m and the inlet pressure Pin of 10 m. Error bars represent ± standard deviation.

View larger version (18K): [in a new window]   Fig. 4. Back pressures calculated using analytical [1,2] and numerical [4,5] solutions as a function of the final discharge rate Q under steady state conditions for two soils (Magal clay loam and Arava sandy loam), the source radius r0 of 0.01 m, the inlet pressure Pin of 10 m, and the nominal discharge rates Q0 of 2, 4, and 8 L h–1.

View larger version (17K): [in a new window]   Fig. 5. Back pressures calculated using analytical [1,2] and numerical [4,5] solutions as a function of the final discharge rate Q under steady state conditions for two radii r0 of 0.0025 and 0.01 m, the inlet pressure Pin of 10 m, and the Arava soil.