1

Investigation of wave celerity (c) variations with time and space in

Guadalupe and San Antonio River Basins

University of Texas at Austin

Ahmad TavakolyMay 05 2009

2

Overview•Introduction

•Project Goal

•Field of Study

•Data Source

•Method

•Results

3

Introduction

Wave Celerity Model

The wave celerity is the velocity with which a wave travels along the channel or river

Distance Traveled

Travel Time

Wave Celerity C =

L

T

4

Project Goals

Estimate the wave celerity in different reaches

Find celerity within different times

Create celerity map

5

Field of StudySan Antonio and Guadalupe River Basins

Guadalupe Rv.

San Antonio Rv.

Medina Rv.

6

7

Data Sourcehttp://ida.water.usgs.gov/ida/

15 minutes data intervals2007-01-01 to 2007-06-302004-01-01 to 2004-06-30

8

http://www.horizon-systems.com/nhdplus/HSC-wth12.php

Data Source

9

Method

Determine distance between upstream and downstream gages (ArcGIS)

Find time lag corresponding to the max correlation (HW4 Method)

Celerity=

Length

Time lag

10

MethodDetermine distance

11

MethodAnalysis of lag cross correlation between gages

Gonzales

Lagged Cross Correlation method

12

ResultsCelerity for different time and gages

Wave celerity (m/s),2007,Cedric

Hunt - Kerrville

Ingram - Kerrville

Kerrville - Comfort

Comfort - Spring Branch

Sattler - Gonzales

Gonzales - Cuero

Cuero - Victoria

Schroeder - Victoria

Bandera - Macdona

Macdona - Elmendorf

Elmendorf - Falls City

Falls City - Goliad

Wave celerity 3.81 2.75 2.04 1.80 1.54 1.04 1.07 2.49 3.12 4.15 0.96 1.09

Max Correlation 0.92 0.94 0.84 0.76 0.36 0.80 0.97 0.76 0.33 0.60 0.82 0.83

Wave celerity (m/s),2004,Cedric

Hunt - Kerrville

Ingram - Kerrville

Kerrville - Comfort

Comfort - Spring Branch

Sattler - Gonzales

Gonzales - Cuero

Cuero - Victoria

Schroeder - Victoria

Bandera - Macdona

Macdona - Elmendorf

Elmendorf - Falls City

Falls City - Goliad

Wave celerity <15 min 2.40 2.04 1.77 1.22 0.85 1.07 <15 min 5.63 <15 min 0.70 0.85

Max Correlation 0.46 0.95 0.93 0.90 0.76 0.74 0.94 0.84 0.24 0.56 0.89 0.83

13

ResultsCelerity for different time and gages

Wave celerity(m/s), 2004 Ahmad

Braunfels- Gonzales

Luling - Gonzales

Westhoff - Cuero

Westhoff - Victoria

Cibolo Ck - Goliad

Mitchell St - Elmendorf

Kyle - Gonzales Runge- Goliad Loop 410 -

Falls CityIngram - Comfort

Dilworth - Cuero

Mitchell St - Falls City

Wave celerity 1.14 0.83 0.70 0.87 0.57 1.00 1.09 0.91 0.60 2.14 1.29 0.67

Max Correlation 0.6500 0.8700 0.7121 0.6245 0.6310 0.6990 0.7503 0.6018 0.5104 0.8502 0.7449 0.5967

Wave celerity(m/s), 2007 Ahmad

Braunfels- Gonzales

Luling - Gonzales

Westhoff - Cuero

Westhoff - Victoria

Cibolo Ck - Goliad

Mitchell St - Elmendorf

Kyle - Gonzales Runge- Goliad Loop 410 -

Falls CityIngram - Comfort

Dilworth - Cuero

Mitchell St - Falls City

Wave celerity 1.53 <15 min 4.42 1.68 0.65 1.36 1.55 0.60 0.77 2.22 1.68 0.81

Max Correlation 0.48 0.66 0.79 0.80 0.76 0.67 0.52 0.79 0.51 0.64 0.67 0.58

Analyzed More than 500,000 Data Points

14

Results

15

Results

16

Results

17

Conclusion

Downstream

Upstream

Uncertainty Celerity+ -

18

Question????