← Hydrology & Irrigation · GATE Civil

Chapter 2 of 10

Evaporation, Infiltration & Runoff

In the GATE Civil syllabus under Hydrology & Irrigation · 2 parts

📑 Contents (15 sections)

Part 1 of 2

Evaporation, Evapotranspiration & Infiltration

Last reviewed 16 Sept 2026 · 7 min read

Abstractions

Abstractions are the parts of precipitation that do not become direct runoff: evaporation, transpiration, interception, depression storage and infiltration. Rainfall minus abstractions gives effective (excess) rainfall.

Evaporation

Evaporation is the process by which water changes from liquid to vapour at a free water surface below its boiling point. It is a cooling process (latent heat is absorbed).

Factors affecting evaporation

Factor Effect
Vapour pressure difference Evaporation ∝ difference between saturation vapour pressure at water temperature and actual vapour pressure of air
Temperature Higher water and air temperature → more evaporation
Wind speed Removes saturated air → increases evaporation (up to a critical speed)
Atmospheric pressure Lower pressure (high altitude) → more evaporation
Dissolved salts Reduce evaporation (roughly 1% less for each 1% increase in specific gravity)
Depth and area of water body Deep water bodies store heat, shifting evaporation to colder months
FormulaEvaporation formulas

Dalton's law:

Meyer's formula (lake evaporation, mm/day):

, in mm of mercury; = monthly mean wind velocity (km/h) at about 9 m above ground; ≈ 0.36 for large deep waters and 0.50 for small shallow waters.

Wind speed at another height (1/7th power law):

Other approaches: water budget method, energy budget method and mass transfer method.

Evaporation pans

Pan Pan coefficient (average)
Class A land pan (US) 0.70
ISI standard pan (modified Class A) 0.80
Colorado sunken pan 0.78
USGS floating pan 0.80

Lake evaporation = × pan evaporation. Pans evaporate more than lakes because of their small size, heat exchange through the sides and differences in exposure.

The ISI (IMD) standard pan is a copper pan 1220 mm in diameter and 255 mm deep, painted white, covered with a wire mesh and mounted on a wooden stand.

Reduction of reservoir evaporation

  1. Reduction of surface area — deep reservoirs rather than wide, shallow ones.
  2. Mechanical covers — only for small tanks.
  3. Chemical films — monomolecular layers of cetyl alcohol (hexadecanol) or stearyl alcohol, which reduce evaporation without harming aquatic life.
  4. Wind breaks — tree lines on the windward side.
  5. Removing water-loving vegetation (phreatophytes) along the periphery.

Transpiration and evapotranspiration

  • Transpiration — water taken up by plant roots and released as vapour through leaf stomata; measured on a single plant by a phytometer.
  • Evapotranspiration (ET, consumptive use) — total evaporation from soil and water surfaces plus transpiration from vegetation.
  • Potential evapotranspiration (PET) — ET when water supply to plants is unlimited.
  • Actual evapotranspiration (AET) — ET under actual soil-moisture conditions; AET = PET only when soil moisture is at field capacity.
  • Reference crop ET () — PET of a standard grass (or alfalfa) surface; crop ET .

Measurement and estimation

  • Lysimeter — a tank of soil with vegetation, isolated from the surroundings; ET found from the water balance (weighing or non-weighing).
  • Field plots — water balance of an actual field.
  • Blaney–Criddle (monthly consumptive use, cm):

( = crop coefficient, = monthly percentage of annual daytime hours, = mean monthly temperature in °F.)

  • Thornthwaite — temperature-based monthly PET.
  • Penman (Penman–Monteith) — combines energy balance and aerodynamic terms; the most reliable physically based method (FAO recommended).
  • Hargreaves — radiation and temperature based.

Interception and depression storage

  • Interception — rainfall caught by vegetation and later evaporated; significant in forests and for light, short storms.
  • Depression storage — water held in small surface depressions, later evaporating or infiltrating; must be filled before overland flow starts.

Infiltration

Infiltration is the entry of water into the soil surface; percolation is its downward movement through the soil towards the water table.

  • Infiltration capacity — maximum rate at which a soil can absorb water at a given time.
  • Actual infiltration rate if rainfall intensity ; if .

Factors affecting infiltration capacity

Soil texture and structure; initial moisture content (dry soil infiltrates faster); vegetative cover (increases); compaction by rain impact, traffic and grazing (decreases); entrapped air; water temperature (viscosity); quality of water (suspended silt clogs pores); land use and surface crusting.

FormulaHorton's equation

= initial infiltration capacity, = final steady capacity, = decay constant.

Cumulative infiltration from 0 to :

Other models: Philip ; Kostiakov ; Green–Ampt (physically based).

Measurement of infiltration

  • Flooding-type infiltrometer — a ring (about 30 cm diameter) driven into the soil; water added to keep a constant head; rate of addition gives infiltration. The double-ring infiltrometer (inner about 30 cm, outer about 60 cm) reduces lateral-spread error — readings are taken in the inner ring.
  • Rainfall simulator — sprinklers apply artificial rain over a small plot; infiltration = rain − runoff; represents rain-impact effects better.

Infiltration indices

FormulaInfiltration indices
  • φ-index — the constant rate of loss above which all rainfall becomes runoff (volume of rainfall above the φ line = volume of runoff):
  • W-index — average infiltration rate during the period when rainfall intensity exceeds infiltration capacity, excluding initial losses:

( = duration of rainfall excess). W-index ≤ φ-index.

  • — for very wet conditions (initial losses negligible).

The φ-index is widely used for large catchments and flood estimation.

Part 2 of 2

Runoff & Rainfall-Runoff Relationships

Last reviewed 16 Sept 2026 · 7 min read

Runoff

Runoff is the part of precipitation that flows towards streams, rivers and the sea as surface or subsurface flow.

Component Path
Surface runoff (overland flow) Flows over the land surface into channels once rainfall exceeds infiltration and depression storage
Interflow (subsurface storm flow) Infiltrated water moving laterally through upper soil layers and re-emerging in streams
Baseflow (groundwater flow) Delayed contribution of groundwater to the stream; sustains flow in dry periods
  • Direct runoff = surface runoff + prompt interflow; it forms the flood hydrograph.
  • Natural flow (virgin flow) — runoff unaffected by human diversions and storage; observed flows must be corrected for upstream abstractions and return flows.

Types of streams

  • Perennial — flow throughout the year; the water table stays above the stream bed (effluent streams fed by baseflow).
  • Intermittent — flow during wet seasons only; water table above the bed in wet seasons.
  • Ephemeral — flow only during and immediately after rain; the bed is always above the water table (common in arid zones).

Factors affecting runoff

Climatic: type, intensity, duration and areal distribution of precipitation; direction of storm movement; antecedent rainfall; evaporation and transpiration.

Physiographic (catchment):

  • Area — total runoff volume increases, runoff per unit area and peak per unit area decrease.
  • Shape — fan-shaped (compact) catchments give higher, earlier peaks than fern-leaf (elongated) catchments.
  • Slope — steeper slopes give quicker, higher runoff.
  • Soil and geology, land use and vegetation (forests reduce and delay runoff; urbanisation increases it), drainage density (stream length per unit area — higher density gives quicker response), storage in lakes and swamps.

Yield of a catchment

The yield is the total quantity of water that can be expected from a stream in a given period (usually a year). The dependable yield is the yield that is equalled or exceeded in a stated percentage of years — commonly 75% dependable yield for irrigation planning and higher dependability (about 90% or more) for hydropower and drinking water.

Rainfall–runoff relationships

Runoff coefficient and correlation

  • Runoff coefficient .
  • A linear regression (or exponential forms) is fitted to observed annual rainfall and runoff.

Empirical formulas and tables (Indian practice)

FormulaEmpirical runoff relations (R and P in cm)

Inglis and DeSouza (Western India):

  • Ghat regions:
  • Deccan plateau:

Khosla's formula (monthly):

, , in cm; = mean monthly temperature (°C). Annual runoff .

Tables: Binnie's percentages (Madhya Pradesh), Barlow's tables (Uttar Pradesh catchments classified by type and season), Strange's tables (Maharashtra, Karnataka).

SCS curve number method

FormulaSCS-CN method (SI units, mm)

(0–100) depends on the hydrologic soil group (A–D), land use and antecedent moisture condition (AMC I dry, II average, III wet).

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