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Index-Velocity Guidance

A USGS Techniques and Methods report, "Computing Discharge Using the Index Velocity Method" provides guidance and policies on the installation and operation of index-velocity sites. Additional guidance includes three other USGS Publications, one OSW Technical Memo (2012.04), and best practice recommendations on Computation of Discharge Using Index-Velocity Methods and Meter Maintenance.


USGS Publications

Computing Discharge Using the Index Velocity Method
Victor A. Levesque and Kevin A. Oberg, 2012
U.S. Geological Survey Techniques and Methods 3–A23

Computation of Discharge Using the Index-Velocity Method in Tidally Affected Areas
C. A. Ruhl and M. Simpson, 2005
U.S. Geological Survey Scientific Investigations Report 2005-5004

Feasibility of Acoustic Doppler Velocity Meters for the Production of Discharge Records from U.S. Geological Survey Streamflow-Gaging Stations
S. E. Morlock, H. T. Nguyen, and J. H. Ross, 2002
U.S. Geological Survey Water-Resources Investigations Report 01-4157

Acoustic velocity meter systems:
Antonious Laenen, 1985
U.S. Geological Survey Techniques of Water-Resources Investigations, book 3, chap. 17


Best Practices

Summary of the Computation of Discharge Using Index-Velocity Methods

The water velocity measured by a hydroacoustic current meter in a portion of a river can be used as a surrogate or "index" for the mean-channel velocity. The following is a summary of the computation of discharge using index-velocity methods.

  1. A hydroacoustic current meter is installed in a river. The current meter measures water velocities in a portion of the channel. The water velocity measured by a hydroacoustic current meter that will be used to compute mean channel velocity is called the "index velocity." Hydroacoustic current meters commonly used for index velocity applications include acoustic velocity meters, acoustic Doppler velocity meters, and acoustic profilers (the Instruments page contains a description of these hydroacoustic current meters).

  2. Velocity and various current meter performance and quality-assurance data are recorded by the current meter in internal memory or are logged by an electronic data logger (EDL). The current meter and EDL are often interfaced using the SDI-12 (serial digital interface at 1200 baud) communications protocol. River stage must also be measured and recorded. Some hydroacoustic current meters can measure stage acoustically, or stage can be measured by a separate stage sensor.

  3. A cross-section, called a "standard cross section" is surveyed near the current meter installation. The standard cross-section is used to develop a relation between stage and channel area, called a "stage-area rating." The channel area computed from the stage-area rating will be used, with mean-channel velocity, to compute discharge. A USGS program called AreaComp has been created for the development of stage-area ratings ( Download AreaComp).

  4. Discharge measurements are made while stage and index velocity are measured and recorded. Stages and index-velocities measured during the discharge measurement are averaged. The stage-area rating is used to compute channel area (A) from the average stage (S). The measured discharge divided by the channel area computed from the stage-area rating yields average mean velocity. The channel area is always computed at the standard cross-section, using the stage-area rating.

  5. Each discharge measurement produces a value mean channel velocity (V) and index velocity (Vi). After multiple measurements have been made, a relation between V and Vi is developed; the relation is called an "index-velocity" rating. Index-velocity ratings are commonly developed by first creating scatter plots with V as the ordinate (y axis) variable and Vi as the abcissa (x axis) variable. A line or curve is fitted scatter plot points. The line or curve is the index-velocity rating. Many index-velocity ratings can be represented as a mathematical formula (the equation of the plotted line or curve). Single-parameter ratings have one independent variable (Vi) used to compute V. Index-velocity ratings can also have more than one independent variable (such as Vi and S) and are called multi-parameter or complex ratings.  See link to index velocity rating flowchart below.

  6. Discharge (Q) is computed from the equation Q = VA. V is computed from application of the index-velocity rating to Vi and A is computed from application of the stage-area rating to S.

Index Velocity Rating Flowchart

Meter Maintenance