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what 2 things are needed to estimate streamflow?
amount of precipitation that infiltrates into the soils
amount of precipitation that flows over the land surface as runoff
model infiltration with which models?
horton
green-ampt
model runoff with which model?
SCS curve number
runoff equation
Runoff = Precipitation - Infiltration
Horton Model def
infiltration model developed as an approximate solution of an exact theory
Green-Ampt Model def
infiltration model developed as an exact solution to an approximate theory
infiltration def
process of water penetrating from ground into soil
four zones of infiltration (highest to lowest)
1. saturation zone
2. transition zone
3. transmission zone
4. wetting zone
infiltration rate, f(t)
rate at which water enters the soil at the surface
cumulative infiltration, F(t)
accumulated depth of water infiltrating during a given time period
infiltration capacity, fp(t)
ability of the soil to infiltrate water regardless of precipitation rate
horton model limitations
initial infiltration capacity has to be adjusted based on antecedent soil moisture
can be difficult to estimate all the needed parameters bc not based on soil properties that are easily measured.
ponding time, tp
elapsed time between the time rainfall begins and the time water begins to pond on the soil surface
Fp eqn
tp*i
SCS Curve Number abbreviation
soil conservation service curve number
SCS curve number def
most widely used rainfall-runoff model for routine design purposes in the US
2 basic computation elements in the SCS curve number method
1. estimation of effective rainfall or flow volume
2. estimation of peak discharge
before ponding time, rainfall rate is _____ the infiltration capacity
less than
T/F: before ponding time, all the rainfall has infiltrated
true
SCS curve number depends on what 2 things?
1. soil condition
2. land use
what is the default antecedent soil wetness condition for the CN adjustments for the SCS method?
Condition II
how to adjust the curve number based on antecedent soil condition?
use the table
CN II
average
CN I
dry
CN III
wet
streamflow hydrograph def
continuous graph of streamflow discharge vs. time
what are hydrographs a function of?
precipitation
interception
infiltration
groundwater
basin flow characteristics
unit hydrograph goal
quantify overall watershed response without consideration of detailed watershed flow processes
D-hr UH
characteristic response of a given watershed to a unit volume (1in or 1cm) of effective water input (direct runoff) applied at a constant rate for D hours
unit hydrograph def
result of a unit depth of runoff occuring uniformly over a watershed at a constant rate for a specified duration
unit pulse response is the function of a _____ hydrologic system
linear
the unit response follows which 2 principals?
proportionality
superstition
UH assumptions
1. excess rainfall has constant intensity during duration
2. excess rainfall is uniformly distributed over the watershed
3. base time (time of direct runoff) is constant
4. ordinates of unit hydrograph are proportional to total runoff (linearity)
5. UH represents all characteristics of watershed (lumped parameter) and is time invariant (stationarity)
given a 2.5-hr UH, how to get to a 1-hr UH?
1. create S-hydrograph by lagging the given UH by the duration (D)
2. lag S-hydrograph by the new duration (t)
3. calculate the difference in the lagged S-hydrographs
4. multiply the ordinates of step 3 by D/t
baseflow def
portion of streamflow that is presumed to have entered the watershed in previous events and is derived from persistent, slowly varying sources
water that is slowly being released from previous events
baseflow separation method used in class
assume constant baseflow based on streamflow prior to storm response
key step to created UH from observations
remove baseflow
steps to create a UH from observations
1. select multiple hydrographs from intense storms of approximately equal duration
2. separate event response from baseflow
3. for each hydrograph determine the total effective precipitation (P*total) from the event
4. multiply selected ordinates of each hydrograph by 1/P*total
5. determine the average peak and time to peak and average shape of all the hydrographs
6. adjust the curve to make sure the area under the curve is 1 unit
where is UH developed from observations applicable?
watershed at the point on the stream where the data are measured
gauged watersheds
watersheds where data on precipitation, streamflow, and other variables are available
ungauged watersheds
watersheds w no data on precipitation, streamflow and other variables
how are synthetic UHs derived?
relating hydrograph characteristics with watershed characteristics
3 common methods for generating synthetic unit hydrographs
gamma distribution
snyder's method
SCS method
SCS method def
based on using basin properties to estimate tl and empirically derived relationships for tp and Qp and an assumed hydrograph shape
hydrograph routing def
procedure to determine the flow hydrograph at a point on a watershed downstream from a known hydrograph
what happens as hydrograph shifts?
it gets weaker and delays as a result of storage
what hydrograph is used to create a unit hydrograph of a different variation?
S-hydrograph
4-hr UH with peak discharge of 100 m3/s, what would be the peak discharge for a 4-hr storm w 2.5cm of effective precipitation?
250m3/s
when to use a synthetic unit hydrograph?
ungauged watersheds
when to use hydrograph routing?
when modeling the streamflow response of a basin that is broken up into subbasins or when the water moves through a reservoir
2 flow routing methods
hydrologic routing (lumped)
hydraulic routing (distributed)
hydrologic routing (lumped) def
uses the continuity equation to relate inflows, outflows, and storage to solve for outflows at a point
hydraulic routing (distributed) def
uses continuity and momentum to solve open channel flow equations in space and time
hydrologic routing method
muskingum method
what is muskingum method used for?
river reach
muskingum method is function of?
inflow (I)
outflow (Q)
K
travel time through the reach
level pool method use
reservoirs
level pool routing assumptions
water only flows over the spillway, no flow through emergency spillway or gate
horizontal water surface over the reservoir
relationship between stage (height) and flow
level pool method - what is storage a function of?
Q (outflow)
solving level pool method
given:
inflow hydrograph
Q-H-A relationship (outflow-stage-area eqn) reservoir specific
solve:
1. develop Q-H-A vs. "right side" relationship using reservoir table
2. solve for Q, storage and stage for each time step
a) compute "left side" using inflow hydrograph and previous time step
b) use "left side" with the reservoir table to interpolate Q, S, and H for current time step
c) repeat for next time step
for muskingum method, what is the ravel time through the reach?
K
for the muskingum method, what is the weight on inflow vs. outflow
X
affect of urbanization on hydrology of the land
results in accelerated removal of storm water and increase in the volume and peak runoff
when is rational method used?
urban basins with areas less than 600 acres
rational method
based on the premise that uniform rainfall intensity over a basin will produce a maximum peak flow when all areas over the basin are contributing to the outflow at the point of design
time of concentration, tc
the time required, with uniform rain, for 100 percent of a tract of land to contribute to the direct runoff at the outlet
rational method assumptions
precipitation return period is the same as streamflow return period
antecedent moisture conditions are inherent in the the C coefficient and is typically developed for frequent storms of 2-10 year return periods
C coefficient is assumed to be constant during a storm and from storm to storm
rational method requires what kind of table?
short duration precipitation return periods with fine temporal resolution
often developed by local agencies
What is HEC-HMC used for?
designed to simulate the complete hydrologic processes of dendritic watershed systems
Which organization developed the HEC-HMS model?
Army Corps of Engineers
how is groundwater used in natural systems?
linked to surface water through infiltration (input) and baseflow (output)
how is groundwater used in engineered systems?
wells tap into deep groundwater sources that are unsustainably used
effects of unsustainable use of groundwater
impacts to land surface
depletions of the groundwater resource
land subsidence cause
excessive groundwater pumping allows upper soil layers to dry out, compress, and compact
Aquifer under US Great Plains
Ogallala Aquifer
aquifer def
geologic formation that can store enough water and transmit it at a rate fast enough to be a significant source of water
aquitard def
formation that does not transmit water at a hydrologically significant rate.
unconfined aquifer def
upper boundary of aquifer is the water surface at atmospheric pressure (water table)
confined aquifer def
aquifer bounded above and below by aquitards (aka confining layers)
piezometric surface def
imaginary surface of a confined aquifer
similar to the water table for an unconfined aquifer
fundamental transmission property of aquifer
saturated hydraulic conductivity (Kh)
homogenous conductivity
conductivity is the same at all points
heterogenous conductivity
conductivity is different at all point
isotropic conductivity
conductivity at a point is the same in all directions
anisotropic conductivity
conductivity at a point is not the same in all directions
specific storage (Ss) of aquifer
the increase/decrease in volume of water stored beneath the unit area per unit increase/decrease in response to the change in pressure (head)
change of head in an unconfined aquifer produces...
a change in volume of water in the medum
specific yield (Sy) def
amount of content change in an unconfined aquifer
volume of water released per unit surface area per unit decline of water table
decrease in head of a confined aquifer
piezometric surface lowers
aquifer beneath the unit surface area remains saturated
decrease of confined aquifer storage from the head decrease is due to which 2 reasons?
1. compaction of the aquifer as part of the weight of the overlying material is transferred from the liquid to the solid grains, increasing effective stress and decreasing porosity
2. expansion of water due to lowered pressure.
storativity def
storage coefficient for a confined aquifer
function of the compressibility of medium and water
well hydraulics def
understanding of the processes in effect when one or more wells are pumping from an aquifer
why are well hydraulics important to hydrology?
groundwater withdrawals from aquifers are important to meet water demand
well hydraulics assumptions
well is pumped at a uniform rate
well is fully penetrating across the aquifer thickness
aquifer is homogenous and isotropic
well/screen losses are ignored
drawdown (s) def
difference in initial elevation and the current water table or piezometric surface
drawdown is dependent on what?
time of pumping
pumping test is used to...
estimate the transmissivity and storage coefficient.
how does pumping test work?
pump the well at a constant rate and measure the change in drawdown in an observation well over time
which method is used to solve complex well problems?
method of superposition