For impulse loads, rise time affects high ferquency response and duration affects low frequency response.
I would expect the timing of the event causing this imbalance would be a good starting point for your rise time. Does a closing valve cause the event? If so, then the valve closing time would be important.
I might also suggest that, for any single run of pipe, the rise time could be related to the time it takes the (instantaneous?) surge to round a bend into the run. That is - (pi*bend radius/2)/(speed of sound in the pipe fluid).
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Dave Diehl