RN-25 : Range analysis for storage

Abstract

The range analysis is a part of the general probability theory of storage. In this report the works dealing with the range analysis for storage related problems have been reviewed. In the beginning, the empirical method and the experimental method are described. This is followed by analytical results for expression of range for a number of processes which are frequently encountered in hydrology.

Extensive experiments on natural time series were conducted by H.E.Hurst. One puzzling result which he obtained was that these series do not behave, in some respects, the way a random series should. This fact was termed 'Hurst Phenomenon'. Several arguments have been advanced by different investigators to explain the Hurst phenomenon; these are briefly discussed. The recognition of Hurst phenomenon has been a turning point in hydrological modelling of time series and this has been briefly discussed. A detailed review of various experiments conducted to determine the effect of inflow generating mechanism on reservoir capacity has been made. At this stage it is not possible to conclusively say about the utility of long or short memory flow models in reservoir analysis because of unavailability of results of exhaustive studies.