Modeling is the creation of a simplified representation of a complex system with the goal of providing predictions of the system’s performance measures. Plant models were designed to capture materials flow.

Numerical Simulation

Numerical simulation modeling for water balance analysis was based on the follow­ing equation, after [7]:

SCk = SCk-1 + Y, h DK + WBk – WK, where K = 1, 2, …. K (46.1)


SCk Total contents of reservoir at period k, m3—similarly this is denoted as total water consumption (m3/month) giving us the annual total RC Reservoir capacity, m3—this is found by flow rate (m3/hr) * 24 h/day * 30 days/month

DiK Output of distillation unit i during interval k—for the case study we have

distillate flow rate + flow rate of number of high purity distillates Wbk Brackish water production during period k, m3/h

WK Total water demand, m3/h—similarly this is equivalent to total water produc­

tion (m3/h) for our case.

An assumption obtained from key personnel at the case study was that the daily production = daily demand.

In applying the model represented in Eq. (46.1), the brackish water production constraint was ignored since only seawater was being used in the case study plant. Consequently, the modified equation is shown in Eq. (46.2).

SCk = SCk-1 + £"DK +-WK, where K = 1, 2, …. K (46.2)

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