Linear Reservoir Theory
A linear reservoir is one, whose storage is linearly related to the output by a storage constant with the dimension time, also called a time constant, as follows:
where S is storage in the reservoir with dimensions length, k is the time constant, and q is the outflow from the reservoir with dimensions length/time.
The concept of a linear reservoir was first introduced by Zoch (1934,1936,1937) in an analysis of the rainfall and runoff relationship. Also, a single linear reservoir is a special case of the Muskingum model, Chow (1988).
