TABLE OF CONTENTS In Section 5.4 expressions have been derived for the system response time as a function of the steady state salinity distribution S(x). The first expression ( T K) is based on equating the unsteady salinity variation to the variation of the salinity between subsequent steady states as a result of fresh water flow depletion, which yielded Equation 5.34. In this case, the system is assumed to be in a state of 90 percent equilibrium if T K < 0.1 T Q, where T Q is the time scale for the fresh water flow depletion. The second method of deriving a system response time scale is by using the time scale T S needed to attain a new equilibrium condition, yielding Equation 5.39. These equations are made dimensionless by comparing them to the flushing time scale T f: Equation 5.41. Both T S and T K require an expression for S(x). After the derivations carried out in Section 5.5, this expression is available.
Savenije (1992a), taking X = L/2 performed the integration of these equations for integer values of 1/ K, which are not repeated here. If 1/ K is not an integer number, the equations can only be solved numerically. As an example the analytical equations for K = 0.5 are presented:
As L/ a can be written as a function of ?, using...
