Hydrographs
A hydrograph plots discharge at a point on a stream against time. A storm hydrograph has a characteristic shape: a rising limb as runoff from the catchment arrives, a peak, and a longer recession limb as the catchment drains. Its shape reflects both the storm and the catchment. Small, steep, compact catchments give sharp, early peaks; large, flat or elongated ones give lower, later and broader ones. Urbanisation sharpens peaks.
A hydrograph is made of direct runoff, the quick response to the storm, sitting on top of base flow, the steady contribution from groundwater. Separating them is the first step in analysis. Simple methods draw a straight line from the start of rise to a point on the recession a fixed number of days after the peak, or extend the pre-storm recession under the peak; there is no unique answer, but consistency matters.
Key time parameters are the lag time (from centroid of rainfall to the peak), time of concentration (time for water from the most remote part of the catchment to reach the outlet), time to peak and base time. Rainfall excess, the part that becomes direct runoff, is found by subtracting losses using a φ-index (a constant loss rate) or infiltration equations. The area under the direct runoff hydrograph, divided by catchment area, equals the depth of rainfall excess, a useful check on any analysis.
Gauging stations that record water level continuously convert it to discharge using a rating curve, checked by periodic current-meter or acoustic Doppler measurements.
Plot rainfall as a bar chart above the hydrograph on the same time axis to see lag at a glance.
Direct runoff volume = area under DRHRunoff depth = volume / catchment areaφ-index: rainfall above φ = runoff depthRecession: Q_t = Q₀ K^t
Forgetting to remove base flow before computing runoff depth from a hydrograph.
Problem. A storm on a 60 km² catchment gives a direct runoff hydrograph with ordinates at 3-hour intervals of 0, 20, 55, 40, 22, 10 and 0 m³/s. Find the runoff depth.
- Sum of ordinates = 147 m³/s.
- Volume = 147 × 3 × 3 600 = 1 587 600 m³.
- Depth = 1 587 600 / 60 × 10⁶ = 0.0265 m = 26.5 mm.
Answer. About 26.5 mm of runoff
Quick quiz
1What is base flow on a hydrograph?
The groundwater contribution under the direct runoff.
2How does urbanisation change the hydrograph?
Higher, earlier, sharper peaks.
3What is time of concentration?
The time for water from the most remote point to reach the outlet.
Clauses and documents to read
- CWC flood estimation reports for hydro-meteorological subzones (cited by name)
Cited by number and clause only. We do not reproduce clause text, tables or figures (BIS Act 2016, s.10(5) and s.11). Check the current edition and amendments before use.
References and further reading
Standard texts, listed in no order of merit. We do not copy text, figures, tables or solved problems from any book; our explanations and examples are original.
- K. Subramanya, Engineering Hydrology, McGraw Hill Education (India), latest edition.
- V. T. Chow, D. R. Maidment, L. W. Mays, Applied Hydrology, McGraw Hill, 1988.
Free and official sources
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