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Transient Pump Rate Interpolation

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Are the pumping rates interpolated between time periods?  I have pump totalizer data on irregular time steps and I am trying to make sure that I am representing them correctly in the pump time series.  In the example below I show the date and the totalizer readings in (gals).  I convert the total gals to an average gpm computed over the time period since the last reading, then to a ft3/day for input into modflow.  Does modflow interpolate the flow between time steps, or does it use a specified flow rate for each time step until another one is specified (stepped pump rate).  For example is the pump rate on 3/13/12 in the example below  0.00 ft3/day,  or is it 77.33 ft3/day?  I want to make sure that I get the mass balance for pumped volume correct.


                                Date          gals)         (gpm)    (ft3/day)
3/12/12 0.0 0.0 0.0
3/15/12 5,212.0          1.2         -232.3
3/16/12 8,674.0          2.4         -462.8
3/19/12 9,752.0          0.2           -48.0

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