Page Comparison

...

1. If the division is transitioning from dead to live (i.e. State_t-1 = Dead) and Storage(t - 1) < Storage_dsMAX, Storage(t - 1), and the fixed lateral flux for each owner, Loss_fixed(o), are adjusted as described in the Division transitioning from dead to live section under Ownership adjustments (equations (47), (48), (49) and (50) above).  The steps are:

   1. Adjust each owner’s fixed lateral flux to include the volume to fill dead storage

      Equation 88

   2. Set the apparent storage for last time step to the maximum dead storage.

      Equation 89

   3. Set the apparent storage for each owner at the last time step to their share of the maximum dead storage.

      Equation 90

2. Calculate the total ‘live’ storage for reporting (and use in further calculations), where Storage_live = Storage(t) - Storage_dsMAX as per equation (20).
3. Calculate trial storage volumes for each owner (that assume no high flow loss):

   1. If Muskingum  x = 1, outflow and storage are not interdependent, so the proportional routing model can be applied directly:  

      Equation 91

   2. Otherwise outflow and storage interact, so a more complex method is needed:

      1. Adjust owner fixed lateral fluxes to ensure no owner has a negative outflow:

         1. To determine the ratio r, use equation (21)

            Equation 92

            (Note that Storage_live = Storage(t) - Storage_dsMAX)

         2. Adjust owner fixed lateral fluxes to ensure no owner has a negative outflow. This involves finding the maximum fixed loss that each owner can sustain with non-negative outflow and the resultant surplus/deficit using equations (51), (52) and (53). 

            Equation 93	Image Added

            Equation 94	Image Added

            Equation 95	Image Added

         3. Pass owner surpluses and deficits to the Borrow method (Refer to Borrow and Payback - SRG for more information). This will return how much owners borrowed or lent (OwnerBorrowed(o), OwnerLent(o)).

         4. For each owner: Add amount lent and subtract amount borrowed from the fixed loss :- refer to equations 84 and 85.

      2. Use the proportional routing model equation (37) to determine trial volumes for each owner (assuming no high flow losses at this stage): 

         Equation 96	Image Added

         Equation 97	Image Added

4. If there is a high flow loss (Loss_HF > 0):

   1. If Muskingum x ≠ 1 high flow losses will impact storage volumes. The approach described  in the section on High flow loss formula (Murray-style), under Live division model, assumptions and equations above, is used to determine the final storage volume for each owner.

   2. Calculate owner shares of the high flow loss using equation (26): 
5. Calculate each owner’s share of each proportional lateral flux for reporting using equation (20), after rearranging so the term Loss_prop is on the right hand side (i.e. by rearranging to match the form of equation (13)):
   1. If the time series flux is configured to be shared proportionally 

   2. If other lateral fluxes are configured to be shared proportionally:

...