Bernard’s distribution (mass) graph Bernard’s distribution graph is plotted with time on the X-axis and which quantity on the Y-axis for a given storm-runoff event?
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AInstantaneous runoff (discharge) on the Y-axis
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BTotal runoff volume on the Y-axis
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CPercentage of total surface runoff on the Y-axis (cumulative)
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DPercentage of total surface runoff during uniform time intervals on the Y-axis
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ENone of these
Answer
Correct Answer: Percentage of total surface runoff during uniform time intervals on the Y-axis
Explanation
Introduction / Context:Bernard’s distribution graph is a dimensionless way of representing how total surface runoff is distributed through time during a storm. It is useful for estimating peak discharge blocks.
Given Data / Assumptions:
- Time is divided into equal intervals (e.g., 5 or 10 minutes).
- Each interval’s contribution is expressed as a percentage of the event’s total surface runoff volume.
Concept / Approach:Unlike a cumulative mass curve, Bernard’s distribution graph presents the percentage per interval (non-cumulative) so designers can identify the fraction that occurs in the peak block (e.g., “10-minute peak percentage”).
Step-by-Step Solution:
Place time on the X-axis with uniform bins.For each bin, plot % of the total event runoff contributed in that bin on the Y-axis.Use the identified peak percentage with the total runoff volume to compute a peak block discharge.Verification / Alternative check:This interpretation is consistent with how “10-minute peak percentage” is used to derive peak-rate estimates from total volume.
Why Other Options Are Wrong:
- (a) instantaneous discharge is a hydrograph, not Bernard’s distribution.
- (b) total volume is a single scalar, not a per-interval percentage.
- (c) cumulative percentage vs time is a mass curve, not Bernard’s distribution.
Common Pitfalls:Confusing Bernard’s interval distribution with cumulative mass curves; ensure you use the correct graph for peak-rate calculations.
Final Answer:Percentage of total surface runoff during uniform time intervals on the Y-axis