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Spatial Water Budget Model. 3 main components - Soil element water balance - From from soil element to a stream - Water balance of streams. Technical characteristics: - Empirical, distributed parameter model - Programmed in Avenue; 100% GIS embedded
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Spatial Water Budget Model 3 main components - Soil element water balance - From from soil element to a stream - Water balance of streams Technical characteristics: - Empirical, distributed parameter model - Programmed in Avenue; 100% GIS embedded - Very interactive and high degree of vizualization - Avenue, using Spatial Analyst & Dialog Designer Outputs - Dynamic DEM-delineated stream networks - Stream flow BEFORE and AFTER water extraction - Input to water-related scenarios
IR P AET RO Soil Layer 1 (root zone) D Soil Layer 2 LF Soil Layer 3 Impervious Rock bed Water Balance for a Soil Element i Change in Soil Water Content (SW) Layer 1: dSW1i / dt = Pi + IRi - AETi - ROi - Di, 1-2 Layer 2: dSW2i / dt = Di,1-2 - Di, 2-3 Layer 3: dSW3i / dt = D i,2-3 - LFi
Streams Flow Direction East South East South South West West North West North North East Flow from soil element i to stream • Surface runoff (RO) and lateral groundwater flow (LF) • Each day, a certain fraction (dfj) of the soil water content • WATj in a cell j is assumed to drain into the river. • Drainagej = WATj * dfj • VARIABLE drainage factors df • Flow length to river • Actual water content in soil • Hydraulic conductivity • Slope Model can be calibrated to mimic the drainage behavior of a theoretical Darcy-flow model with actual cell-to-cell water flow.
Vj-1,j VLF,j VST,j Vj,j+1 VUSE,j Water Balance for a Stream Element j VRO,j Vj, j+1 = Vj-1, j + VRO, j + VLF, j - VUSE, j - dVST, j VRO, j = accum. surface runoff; VLF, j = accum. lateral flow; VUSE, j = water used; dVST, j = change in water storage