Computation of Overlapping from Generated Multiple Sprinkler Observation Patterns

The depth of water delivered at any point is a function of distance from sprinkler. Certain amount of overlap is always necessary when the sprinklers are operated in field. The overlapping usually derived from only one observation pattern by adding elements for required number of times and considering that all overlapping sprinkler will have identical pattern. However, in actual practice it is never possible to get identical observation pattern through out all sprinklers positions even for the same operating conditions. Harts method for computation of overlapping considers identical distribution pattern as one dimensional array. In this study the multiple sprinkler's observation patterns were considered as a three dimensional variable (a_i,j,k). Computer program was developed for computation of overlapped pattern and uniformity coefficients from the multiple sprinklers test data by considering the fact that the depth of water from different sprinklers contributing to overlapped area is a function of sprinkler spacing. The probability distribution of available single observation pattern was identified as exponential distribution with the help of standard statistical methods. The random observations were generated for exponential distribution and multiple sprinklers observation patterns were prepared by generated random observations. The computer program was applied to single as well as generated multiple sprinklers’ observation patterns and validated by comparing its results with the available results. It was found that developed program would be able to consider any variation in observation pattern due to operating field conditions in computing overlapped pattern and uniformity coefficients for any desirable spacing. Developed approach is more accurate in actual field conditions.