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Prepared in cooperation with the Virginia Department of Transportation Peak-Flow Characteristics of Virginia Streams NORTH CAROLINA TENNESSEE KENTUCKY WEST VIRGINIA MARYLAND WASHINGTON, D.C. Culpeper Basin ATLANTIC OCEAN Chesapeake Bay Scientific Investigations Report 2011–5144 U.S. Department of the Interior U.S. Geological Survey

Peak-Flow Characteristics of Virginia Streams · PDF filePeak-Flow Characteristics of Virginia Streams. By Samuel H. Austin, Jennifer L. Krstolic, and Ute Wiegand Prepared in cooperation

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  • Prepared in cooperation with the Virginia Department of Transportation

    Peak-Flow Characteristics of Virginia Streams

    NORTH CAROLINATENNESSEE

    KENT

    UCKY

    WES

    T VI

    RGIN

    IA

    MARYLAND

    WASHINGTON, D.C.

    Culpeper Basin

    ATLA

    NTI

    C O

    CEA

    N

    Che

    sape

    ake

    Bay

    Scientific Investigations Report 20115144

    U.S. Department of the InteriorU.S. Geological Survey

  • Cover art. See figure 1 (map showing peak-flow study sites in Virginia).

  • Peak-Flow Characteristics of Virginia Streams

    By Samuel H. Austin, Jennifer L. Krstolic, and Ute Wiegand

    Prepared in cooperation with the Virginia Department of Transportation

    Scientific Investigations Report 20115144

    U.S. Department of the InteriorU.S. Geological Survey

  • U.S. Department of the InteriorKEN SALAZAR, Secretary

    U.S. Geological SurveyMarcia K. McNutt, Director

    U.S. Geological Survey, Reston, Virginia: 2011

    For more information on the USGSthe Federal source for science about the Earth, its natural and living resources, natural hazards, and the environment, visit http://www.usgs.gov or call 1888ASKUSGS.

    For an overview of USGS information products, including maps, imagery, and publications, visit http://www.usgs.gov/pubprod

    To order this and other USGS information products, visit http://store.usgs.gov

    Any use of trade, product, or firm names is for descriptive purposes only and does not imply endorsement by the U.S. Government.

    Although this report is in the public domain, permission must be secured from the individual copyright owners to reproduce any copyrighted materials contained within this report.

    Suggested citation:Austin, S.H., Krstolic, J.L., and Wiegand, Ute, 2011, Peak-flow characteristics of Virginia streams: U.S. Geological Survey Scientific Investigations Report 20115144, 106 p. + 3 tables and 2 appendixes on CD. (Also available online at http://pubs.usgs.gov/sir/2011/5144/.)

    ISBN 978 1 4113 3288 1

    http://www.usgs.govhttp://www.usgs.gov/pubprodhttp://store.usgs.gov

  • iii

    ContentsAbstract ...........................................................................................................................................................1Introduction.....................................................................................................................................................1

    Purpose and Scope ..............................................................................................................................1Background............................................................................................................................................1Physical Setting.....................................................................................................................................1

    Coastal Plain .................................................................................................................................3Piedmont........................................................................................................................................3Blue Ridge .....................................................................................................................................3Valley and Ridge ...........................................................................................................................4Appalachian Plateaus .................................................................................................................4

    Previous Studies ...................................................................................................................................4Approach .........................................................................................................................................................4

    Site Selection.........................................................................................................................................4Data Evaluation .....................................................................................................................................8Flood-Frequency Analysis ...................................................................................................................8Basin Characteristics ...........................................................................................................................9

    Regionalization .............................................................................................................................................10Definition of Regions ..........................................................................................................................10Model Development ...........................................................................................................................10Model Verification and Diagnostics ................................................................................................11

    Weighting Multiple Estimates ....................................................................................................................12Weighting of Independent Estimates ..............................................................................................13

    Peak-Flow Characteristics .........................................................................................................................13Other Methods for Estimation at Ungaged Sites ....................................................................................13Examples of Calculating Peak-Flow Estimates .......................................................................................14

    Use of Regression Equations ............................................................................................................14Drainage-Area Ratio Method ...........................................................................................................14Ungaged Site with Nearby Gage ......................................................................................................15Gaged Site ............................................................................................................................................15

    Summary........................................................................................................................................................15Acknowledgments .......................................................................................................................................16References ....................................................................................................................................................16Glossary .........................................................................................................................................................20Appendix 1. Curves and residual plots for candidate single-parameter regional

    regression equations for estimating peak flows of streams in Virginia ..........................................................................................................CD in pocket

    Appendix 2. Curves and residual plots for candidate multi-parameter regional regression equations for estimating peak flows of streams in Virginia ..........................................................................................................CD in pocket

  • iv

    Figures 1. Map showing selected peak-flow study sites and physiographic provinces

    for application of peak-flow regional estimating equations ..................................................2 2. Example leverage plots showing significant explanatory power, insignificant

    explanatory power, and evidence of collinearity ..................................................................11

    Tables 1. Sites used in the study and their identifying information ..................................CD in pocket 2. Peak-flow characteristics of streamgaging stations in Virginia ........................................21 3. Regional regression equations for estimating peak flows of streams in Virginia .............5 4. Statistics summarizing basin characteristics selected for regional regression

    of peak flows in Virginia .........................................................................................CD in pocket 5. Selected basin characteristics, their definitions, and datasources ....................................6 6. Selected basin characteristics at peak-flow streamgaging stations

    in Virginia ..................................................................................................................CD in pocket

    Conversion Factors

    Inch/Pound to SIMultiply By To obtain

    Length

    inch (in.) 2.54 centimeter (cm)inch (in.) 25.4 millimeter (mm)foot (ft) 0.3048 meter (m)mile (mi) 1.609 kilometer (km)

    Area

    acre 0.4047 hectare (ha)square mile (mi2) 259.0 hectare (ha)

    Volume

    gallon (gal) 0.003785 cubic meter (m3) cubic foot (ft3) 0.02832 cubic meter (m3) acre-foot (acre-ft) 1,233 cubic meter (m3)

    Flow rate

    cubic foot per second (ft3/s) 0.02832 cubic meter per second (m3/s)Hydraulic gradient

    foot per mile (ft/mi) 0.1894 meter per kilometer (m/km)

    Vertical coordinate information is referenced to the North American Vertical Datum of 1929 (NAVD 29).

    Horizontal coordinate information is referenced to the North American Datum of 1983 (NAD 83).

    Elevation, as used in this report, refers to distance above the vertical datum.

  • Abstract Peak-flow annual exceedance probabilities, also called

    probability