applying txrr to texas coastal basins routing to the streams l.
Skip this Video
Download Presentation
Applying TxRR to Texas Coastal Basins – Routing to the Streams

Loading in 2 Seconds...

play fullscreen
1 / 12

Applying TxRR to Texas Coastal Basins – Routing to the Streams - PowerPoint PPT Presentation

  • Uploaded on

Applying TxRR to Texas Coastal Basins – Routing to the Streams. Victoria Samuels CE 394K.2. TxRR Water Balance. It Rains! P i at t i Initial Abstractions subtracted Runoff produced Excess goes to Infiltration Base Flow calculated from SM parameters

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
Download Presentation

PowerPoint Slideshow about 'Applying TxRR to Texas Coastal Basins – Routing to the Streams' - maree

Download Now An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
txrr water balance
TxRR Water Balance
  • It Rains! Pi at ti
  • Initial Abstractions subtracted
  • Runoff produced
  • Excess goes to Infiltration
  • Base Flow calculated from SM parameters
  • Base Flow + Direct Runoff = Stream Flow

Precipitation P

Initial Abstraction


Direct Runoff QD

Infiltration F

Maximum Soil Moisture SMMAX =

Soil Moisture SM + Soil Retention S

Stream Flow

Base Flow QB


(not modelled)

time variables
Time Variables










In “i-1” time (t1):

QB2, SM2 QB1, SM1

Time between Precipitation Events = ti = t2 – t1

In “i” time (t2):

QB2, SM2 QB1, SM1

direct runoff
Direct Runoff

QDi = Pei2 / (Pei + Si)

Pei = Pi – Iai

Iai = abst1 * Si

QDi direct runoff from i precipitation

Pei effective precipitation

Iai initial abstraction from i precipitation

abst1 initial abstraction coefficient (usually 0.2)

Essentially the SCS Direct Runoff Equation

  • Pi precipitation from i event


base flow recession
Base Flow - Recession

QB2 = QB1 * Kt2 – t1

QB2 base flow rate at time t2

QB1 base flow rate at time t1

K recession constant (0.966 subsurface flow,

0.992 groundwater runoff)

t2-t1 elapsed time

  • Part of the streamflow that flows out long after a precipitation event
  • Can be groundwater runoff, subsurface runoff, or a combination of the two
base flow reaction to precipitation
Base Flow – Reaction to Precipitation
  • Base flow increment either proportional to amount of precipitation or infiltration
  • Related to soil moisture, ie base flow is larger when soil moisture is larger

QBnew = wB * Fi * (SM2i/SMMAX)

QBnew = wB * Pi * (SM2i/SMMAX)

QBnew base flow increment

wB base flow coefficient or weighting factor

SM2isoil moisture right before i precipitation

SMMAX maximum soil moisture

base flow which equation
Infiltration Equation is more conceptually correct

However, when Fi 0, QBnew  0, despite if there is a large amount of precipitation (initial abstraction is large enough to take all of the precipitation, soil retention large enough)

If a large initial abstraction is realistic, use Fi equation. If not realistic, use Pi equation

Base Flow – Which Equation?

QBnew = wB * Fi * (SM2i/SMMAX)

QBnew = wB * Pi * (SM2i/SMMAX)

base flow computations
Base Flow - Computations

New Base Flow: QB1i = QB2i + QBnew

Amount of New Base Flow (volume): QBV = (QB2 - QB1) / ln K

Used for daily continuous simulations

Total volume of Base Flow from initial base flow as

t2  inf, QB2  0:

QBV = -QB1 / ln K

Used for event by event simulation

stream flow simulation then
SCS Unit Hydrograph

Assumption that 37.5% of direct runoff reaches outlet before peak flow is reached

In hours

Tl= lag time = b * A0.6

b coefficient from 0.4 – 1.5

A drainage area (sq mi)

Tp = time to peak = 12 + Tl

Tb = base time = 5 * Tp

Qpeak = 484 * A * QD / Tp

Stream Flow Simulation - Then









stream flow simulation now
Stream Flow Simulation - Now
  • Cascade of identical completely mixed linear reservoirs
  • ki = detention time of each reservoir, Ni = number of reservoirs, t = time increment, ui(t) = discharge
  • Gamma distribution allows Ni to be a non-integer value, (Ni-1)! is replaced by the gamma function G(Ni)
  • Input to each reservoir is output from reservoir upstream

Acknowledgements: Dr. Francisco Olivera

stream flow simulation reservoirs
Stream Flow Simulation - Reservoirs

C2,out = Co(t/q)e-t/q

Cout = Coe-t/q



N =N

N = 2

N =1

CN,out = Co * 1/(N-1)! * (t/q)N-1 * e-t/q

Substitute: q = ki, N = Ni, using the relationship Q/V = 1/ki,

and a little handwaving:

ui(t) = 1/ki * e-t/ki * 1/(Ni-1)! * (t/ki)Ni - 1

Acknowledgements: Dr. Desmond Lawler