From theory to practice. Filling in the numbers.

Obtaining some figures from [Taylor et al] and [Hutchison 1976]...

Here are some estimates relevant parameters.

The surface area of the lake A is approximately and the volume is approximately , therefore the L is about 1m. Huizenga's report says a head difference of about 0.3m is needed to compensate for evaporation rate at . The head difference is I/k where thus we can estimate .

How transient are transients? The time constant for the transients is typically -k/A thus the half-life is :-

Which implies...

Thus is 36 days.

When the flow is in steady state from sea to lake with , the time taken for the concentration to double , (assuming no fresh water inflow) is...

Solving for ...

Assuming the lake is initially at sea water salinity (), then the concentration doubling time is days.

When the flow is steady state from lake to sea with . The half-life for the salt concentration is...

Thus days.

How much water is needed to make up the head loss of 0.3m? . Given that the Full Supply Capacity of the anticipated new dams is it is unlikely that any compensation release of water would flush the system.