Rainfall measurement
Rainfall is the basic input to most hydrological calculations, so it must be measured carefully. A rain gauge collects rain falling on a known area. Non-recording gauges, such as the standard Symons type with a 127 mm diameter collector, are read once a day by measuring the collected water. Recording gauges, using a tipping bucket, weighing mechanism or float, give a continuous record of rainfall intensity, needed for flood studies and urban drainage. Automatic weather stations transmit data in real time. Weather radar and satellites estimate rainfall over large areas and are calibrated against gauges.
Siting matters: gauges should be on level ground, away from trees and buildings by at least twice their height, with the rim at a standard height and the site fenced. A network must be dense enough to capture spatial variation, especially in hilly areas where rainfall changes rapidly with elevation.
Point rainfall is converted to average catchment rainfall by the arithmetic mean (for flat areas with uniform gauges), Thiessen polygons (weights by the area nearest each gauge) or isohyets (contours of equal rainfall drawn using judgement). Missing records are estimated from neighbouring stations by the normal ratio method. Consistency of long records is checked by double-mass curves. Intensity-duration-frequency (IDF) curves, built from recording gauge data, give the design intensity for a chosen return period and storm duration, the key input to drain and culvert design.
Inspect gauge sites yearly; a tree that has grown nearby quietly lowers every reading.
Thiessen: P_avg = Σ (Aᵢ Pᵢ) / Σ AᵢNormal ratio: Pₓ = (Nₓ / n) Σ (Pᵢ / Nᵢ)Optimum number of gauges: N = (Cv / ε)²
Averaging gauges arithmetically in hilly terrain where one gauge sits in a rain shadow.
Problem. Three gauges have Thiessen areas of 42, 75 and 33 km² and recorded 68, 92 and 55 mm in a storm. Find the average catchment rainfall.
- Σ A P = 42 × 68 + 75 × 92 + 33 × 55 = 2 856 + 6 900 + 1 815 = 11 571.
- Σ A = 150 km².
- P_avg = 11 571 / 150 = 77.1 mm.
- The simple mean would be 71.7 mm, so weighting matters.
Answer. About 77 mm
Quick quiz
1What does a recording rain gauge add?
A continuous record of intensity over time.
2What does a Thiessen polygon represent?
The area closer to one gauge than to any other.
3What is a double-mass curve for?
Checking consistency of a long rainfall record.
Clauses and documents to read
- IS 4986:2002 (installation of non-recording rain gauge)
- IS 5235:1992 (recording rain gauge)
- IS 4987:1994 (establishing rain gauge networks)
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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