Dickens formula constant for high-flood estimation In Dickens’ regional flood formula Q = C * A^(3/4), an average value of the constant C commonly adopted for high-flood estimates is approximately:
-
A6.5
-
B8.5
-
C9.5
-
D10.5
-
E11.5
Answer
Correct Answer: 11.5
Explanation
Introduction / Context:Empirical regional flood formulas like Dickens’ are used for preliminary peak-discharge estimation where gauge data are sparse. The coefficient C captures regional rainfall and catchment response.
Given Data / Assumptions:
- Dickens’ formula: Q = C * A^(3/4), with Q in m^3/s and A in km^2.
- “Average” value of C for high-flood estimation in many Indian regions.
Concept / Approach:While C varies geographically (mountainous vs coastal vs inland basins), guidance texts often suggest a representative average near 11 to 12 for high floods where local calibration is unavailable.
Step-by-Step Solution:
Recognize that among the given choices, 11.5 best represents the widely cited average for high floods.Verification / Alternative check:Regional hydrology manuals list ranges (e.g., 6–30) with typical values around 11 for many basins; selection depends on local context.
Why Other Options Are Wrong:
- 6.5–10.5 are on the lower side and may underpredict high floods in many regions.
- Values significantly different should be justified by local calibration rather than treated as average.
Common Pitfalls:Using a single C universally without checking basin characteristics; empirical formulas are rough tools.
Final Answer:11.5