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Filling a reservoir … t ry this…

Filling a reservoir … t ry this…. You have a reservoir S, which obeys the equation: And w here p = precipitation (mm/day), e is the evaporation rate (mm/day), k is a proportionality constant . Further, p = 10mm/day, k = 0.17 day -1

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Filling a reservoir … t ry this…

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  1. Filling a reservoir … try this… • You have a reservoir S, which obeys the equation: And where p= precipitation (mm/day), e is the evaporation rate (mm/day), k is a proportionality constant. • Further, p = 10mm/day, k = 0.17 day-1 • Based on an initial storage of 0mm, temporally integrate the ODE using the explicit Euler method with 0.1day time steps to see how long it takes until the storage completely fills to its storage capacity value of 60mm.

  2. Now try this… • You have a reservoir S, which obeys the equation: And where p= precipitation (mm/day), e is the evaporation rate (mm/day), k is a proportionality constant, and c is an amount of residual pore capacity in the soil matrix (mm). • Further, p = 20mm/day, k = 0.17 day-2, and c=3mm. • Based on an initial storage of 4mm, temporally integrate the ODE using the explicit Euler method with 0.1day time steps to see how long it takes until the storage completely fills to its storage capacity value of 60mm.

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