One-Dimensional Lake Stratification Model

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One-Dimensional Lake Stratification Model


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Model Description

The purpose of this model is to demonstrate estimation of dynamic lake stratification by applying the one-dimensional stratification method per Tchobanoglous et al. (1987) in a simple reservoir model. The model simulates a reservoir that is filled using an allocation on a river to meet a fill target. Meanwhile, a water demand based on an assumed amount of irrigated land area is applied and water is delivered and the reservoir is drained. Along side the dynamics of this reservoir, a lake stratification is calculated on each timestep. At the end of the run, the number of days the reservoir exists within each type of stratification (strong, weak, or fully mixed) is presented as percentages of total simulation duration in the plot called, "Stratification_Percent_Time".

Stratification is estimated based on assumed temperature differentials between the surface and bottom of the lake. Stratification is based on the value of the densimetric Froude number, NDF, which is calculated as:

NDF = U / (Dd/d0*gd)

Where U is the flow-through velocity (Q/bd), Dd/d0 is the change in mass density over water depth, g is gravitational acceleration, b is the average reservoir width, and d is the reservoir depth.

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