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Colorado State University. Libraries

Frequency analysis and two-dimensional simulations of extreme floods on a large watershed

Abstract

dc:description.abstract

Estimates of extreme floods and probabilities are needed in hydrologic engineering and in risk analysis to assess the safety of dams. This research focuses on developing a two-dimensional, distributed model to simulate extreme floods with return periods up to 10,000 years. The four objectives of this dissertation are to: (1) develop a two-dimensional model suitable for large watersheds (area greater than 2,500 km2); (2) calibrate and validate the model to the June 1921 and May 1894 extreme floods on the Arkansas River; (3) develop a flood frequency curve with the model using the stochastic storm transposition technique; and (4) conduct a sensitivity analysis for initial soil saturation, storm duration and area, and compare the flood frequency curve with gage and paleoflood data. A new channel mesh generator was developed to provide spatially-distributed channel geometry inputs to the TREX model. The channel geometry was defined using power functions for bank heights and channel widths based on field data collected at 20 sites. An improved channel topology algorithm was implemented to allow channels to be connected in eight directions. The TREX model was then applied to the 12,000 km2 Arkansas River basin above Pueblo, Colorado. The model was successfully calibrated to the record June 1921 flood. This flood peak discharge exceeded 100,000 ft3/s and had a return period greater than 200 years. The May 1894 flood was used to validate the model. Based on the calibration and validation, the model is suitable for simulating extreme floods on large watersheds. Basin-average rainfall depths and probabilities were estimated using depth-area-duration data and a stochastic storm transposition technique with elliptical storms. From these extreme rainstorms, the TREX model was used to estimate a flood frequency curve for this large watershed. Model-generated peak flows were as large as 90,000 to 282,000 ft3/s at Pueblo for 100- to 10,000-year return periods. The sensitivity analysis showed that initial soil moisture was important and affected peak flows by a factor of 1.18 to 2.15. The temporal distribution of rainstorms did not significantly affect flood frequency predictions. By reducing storm areas, basin-average depths and estimated peak-flow probabilities were reduced. Model-generated frequency curves were generally comparable to peak flow and paleoflood data-based frequency curves. This model provides a unique physically-based method for determining flood frequency curves under varied scenarios of antecedent moisture conditions, space and time variability of rainfall and watershed characteristics, and storm center locations.

Degree

thesis:*
Name thesis:degree_name
Doctor of Philosophy (Ph.D.)
Level thesis:degree_level
Doctoral
Discipline thesis:degree_discipline
Civil Engineering
Grantor dc:publisher
Colorado State University. Libraries
Year dc:date.issued
2006

Author and committee

dc:creator, dc:contributor.*
Authors dc:creator
  • England, John Fredrick, Jr., author
  • Pierre, Julien, advisor
  • Wohl, Ellen, committee member
  • Jarrett, Robert, committee member
  • Salas, José, committee member

Subjects

dc:subject × 3

Rights

dc:rights
Statement dc:rights
  • Copyright and other restrictions may apply. User is responsible for compliance with all applicable laws. For information about copyright law, please see https://libguides.colostate.edu/copyright.
Language dc:language.iso
eng, English

Identifiers

dc:identifier.*
OAI identifier oai:identifier
oai:mountainscholar.org:10217/243585

Chain of custody

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Colorado State University
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Last updated
2026-07-27
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citation

England, John Fredrick, Jr., author; Pierre, Julien, advisor; Wohl, Ellen, committee member; Jarrett, Robert, committee member; Salas, José, committee member. Frequency analysis and two-dimensional simulations of extreme floods on a large watershed. Doctoral thesis, Colorado State University. Libraries, 2006. https://hdl.handle.net/10217/243585