Hydrological
processes within a river basin
Drainage basin
- definition of a drainage basin (also often:
watershed, river basin, or catchment): area that topographically
appears to contribute all the water that passes through a given cross section
of a stream
- widely recognized as the natural unit of water
management and for the scientific study of hydrological processes
- example: major basins in NY state (Fig)
State lines are shown in white, county lines are shown in light
gray, streams are shown in light blue, and river basin boundries in orange
(http://h2o-nwisw.er.usgs.gov/nwis-w/NY/)
- water balance of a drainage basin: Runoff
= Precipitation - Evaporation +/- delta Storage (terms are always positive)
- runoff: total amount of water leaving
the system as surface water or groundwater
- there may be groundwater flowing in or out of
the system; an alternative approach to formulate the balance is: P+ET+Q+G=dS;
P: precipitation, ET: Evapotranspiration, Q: discharge of river, G: Groundwater
flow, dS: change in storage; fluxes in are positive, fluxes out are negative
(Fig)
- we'll discuss the processes in a drainage basin
in more detail below
Evapotranspiration
- on land Dalton's law only describes the potential
evaporation (PE), i.e. the evaporation rate given an unrestricted water
supply, more sophisticated approaches:
- based on temperature, mass transfer, energy balance,
or combinations of the latter (see Jones (1997), table 3.2)
- Penman equation or combination equation
(Fig) has developed to a standard
method in hydrology to estimate free water evaporation
- actual evaporation (AE) over land is lower, it depends on:
- depth to water table
- soil characteristic
- local heat budget
- precipitation patterns, etc
- transpiration
- occurs through openings on leaf surfaces (stomata,
Fig)
- very complicated dependence from many parameters,
difficult to measure
- lumped together with evaporation to the term
evapotranspiration
- the Penman equation can be modified to describe
ET: Penman-Monteith model
- this model includes the integrated canopy conductance and the
atmospheric conductance of water vapor (see resources below for
more details), it describes reality reasonably well (Fig
D 7-19)
- potential evapotranspiration (PET): "evapotranspiration
from an extended surface of short green crop, actively growing, completely
shading the ground, of uniform height and not short of water"
- interception
- process by which precipitation falls on vegetative surfaces (the canopy),
where it is subject to evaporation
- intercepted water that is lost (Interception loss) contributes
significantly to total ET, it has a high surface/volume ratio and is held
higher in the air, where windspeeds are higher
- interception losses range from 10%-40% of the precipitation (Fig
J 3.4)
- afforestation could increase evaporation losses by up to 50 to 100%,
clearcutting increases runoff
- stemflow (flow along the stem), throughfall (the precip
that has avoided interception or dripped off the canopy)
- interception has also an influence on water quality
Computer excercise
- excercise: plot the saturated water vapor pressure
(svp) as a function of the temperature (T) in the range between 0 and 30oC
- formula: esat = 6.11*exp (17.3*T /
(T+237.3)); esat in mbar, T in oC
- excercise: go to the LDEO
climate data base and plot temperature and precipitation as a combined
line/bar diagram for the year 1996
- find the NOAA NCDC daily temperature and precipitation
data for the NYC, LGA station
- select all of 1996
- download the data as table with two columns (Table)
- convert the data into EXCEL and make a combination
plot, T as line, P as bars
Infiltration and soil moisture
- infiltration
- infiltration: flow of water into the subsurface, process much
slower than surface processes (evaporation, surface runoff)
- infiltration rate, given for example in mm/yr
- unsaturated zone, saturated zone, groundwater, capillary fringe, soil
moisture, water table (Fig)
- water balance for a block of soil: dSMC = f + c - d - ET + v + TFLOin
- FLOout (Fig)
- dSMC: change in soil moisture content, f: infiltration rate, c: rate
of water raised by capillary action from the water table, d: rate of drainage
(recharge) to the water table, ET: evapotranspiration, v: changes
in water vapor content (small) and TFLO lateral seepage (throughflow,
sometimes also known as: interflow) (Fig)
- saturated infiltration capacity: limiting infiltration capacity
after the soil reaches a maximum degree of saturation, varies between different
soils (cracks, clay swelling), as a function of vegetation (Fig)
- processes during a rain event (Fig),
precipitation, infiltration rates, and surface runoff
as a function of time, note: precipitation stands for the fraction of total
precipitation that actually reaches the ground
- soil moisture
- experiment: wetting soil in a beaker,
what makes the grains stick to each other?
- grain sizes in soils vary over several orders of magnitude (Fig)
- look at sand gauges in class
- definitions of porosity, field capacity, specific retention, specific
yield (Fig)
- porosity, field capacity, and wilting points for typical soils (Fig)
- water pressure in soils given as "cm water column" (pressure
head ), pressure = force per area
- this pressure is negative in unsaturated soils and is often called
pressure, suction or tension head (psi), it can be
measured with a tensiometer (Fig)
- tension as a function of water content (Fig)
- soil water status as a function of pressure (tension) (Fig)
- driving forces for flow of water in the unsaturated zone are: gravity
and adhesion/cohesion
- Darcy's law describes the flow in porous media:
- Vx = -K * d(z + p/rho)/dx
- K: hydraulic conductivity, function of saturation
- z: elevation above reference surface
- rho: density of water
- Vx: flow velocity in direction of x
- p/rho = psi: pressure head
- pressure head and elevation as a function of depth in saturated and
unsaturated zone
- wetting fronts
Resources
- Dingman, S.L. (1994) Physical Hydrology. Prentice Hall, Englewood Cliffs,
575pp.