USGS

MEASUREMENT AND COMPUTATION OF STREAMFLOW
VOLUME 2. COMPUTATION OF DISCHARGE

U.S. Geological Survey, Water Supply Paper 2175

By S. E. Rantz and others


CONTENTS

VOLUME 2. COMPUTATION OF DISCHARGE

Chapter 10—Discharge ratings using simple stage-discharge relations

Introduction

Stage-discharge controls

Graphical plotting of rating curves

Section Controls

Artificial controls

Transferability of laboratory ratings

Thin-plate weirs

Rectangular thin-plate weir

Trapezoidal thin-plate weir

Triangular or V-notch thin-plate weir

Submerged thin-plate weirs

Broad-crested weirs

Flat-crested rectangular weir

Notched flat-crested rectangular weir

Trenton-type control

Columbus-type control

Submerged broad-crested weirs

Flumes

Parshall flume

Trapezoidal supercritical-flow flume

Natural section controls

Compound section controls

Channel control

Channel control for stable channels

Compound controls involving channel control

Extrapolation of rating curves

Low-flow extrapolation

High-flow extrapolation

Conveyance-slope method

Areal comparison of peak-runoff rates

Step-backwater method

Flood routing

Shifts in the discharge rating

Detection of shifts in the rating

Rating shifts for artificial controls

Rating shifts for natural section controls

Rating shifts for channel control

Effect of ice formation on discharge ratings

General

Frazil

Anchor ice

Surface ice

Formation of ice cover

Effect of surface ice on stream hydraulics

Computation of discharge during periods of backwater from anchor ice

Computation of discharge during periods of backwater from surface ice

Discharge-ratio method

Shifting-control method

Hydrographic- and climatic-comparison method

Sand-channel streams

Bed configuration

Relation of mean depth to discharge

Development of discharge rating

Evidences of bed forms

Shifting controls

Artificial controls for sand channels

Selected references

Chapter 11—Discharge ratings using slope as a parameter

General considerations

Theoretical considerations

Variable slope caused by variable backwater

Rating fall constant

General discussion of rating principles

Procedure for establishing the rating

Example of rating procedure

Rating fall a function of stage

General discussion of rating principles

Procedure for establishing the rating

Examples of rating procedure

Determination of discharge from relations for variable backwater

Variable slope caused by changing discharge

Theoretical considerations

Methods of rating adjustment for changing discharge

Boyer method

Wiggins method

Variable slope caused by a combination of variable backwater and changing discharge

Shifts in discharge ratings where slope is a factor

A suggested new approach for computing discharge records for slope stations

Selected references

Chapter 12—Discharge ratings using a velocity index as a parameter

Introduction

Standard current-meter method

Deflection-meter method

General

Vertical-axis deflection vane

Horizontal-axis deflection vane

Examples of stage-velocity-discharge relations based on deflection-meter observations

Acoustic velocity-meter method

Description

Theory

Effect of tidal flow reversal on relation of mean velocity to line velocity

Orientation effects at acoustic-velocity meter installations

Effect of acoustic-path orientation on accuracy of computed line velocity (VL)

Effect of variation in streamline orientation

Factors affecting acoustic-signal propagation

Temperature gradients

Boundary proximity

Air entrainment

Sediment concentration

Aquatic vegetation

Summary of considerations for acoustic-velocity meter installations

Electromagnetic velocity-meter method

General

Point-velocity index

Instrumentation

Analysis of point-velocity data

Integrated-velocity index

Theory

Instrumentation

Appraisal of method

Selected references

Chapter 13—Discharge ratings for tidal streams

General

Evaluation of unsteady-flow equations

Power series

Method of characteristics

Implicit method

Fourier series

Empirical methods

Method of cubatures

Rating-fall method

Tide-correction method

Coaxial rating-curve method

Selected references

Chapter 14—Discharge ratings for miscellaneous hydraulic facilities

Introduction

Dams with movable gates

General

Drum gates

Radial or Tainter gates

Radial gates on a horizontal surface

Radial gates on a curved dam crest or sill

Vertical lift gates

Roller gates

Movable dams

Flashboards

Stop logs and needles

Navigation locks

Measurement of leakage through navigation locks

Pressure conduits

General

Metering devices for pressure-conduit flow

Mechanical meters

Differential-head meters

Electromagnetic velocity meter

Acoustic velocity meter

Laser flowmeter

Discharge-measurement methods for meter calibration

Measurement of discharge by pitot-static tubes and pitometers

Measurement of discharge by salt-velocity method

Measurement of discharge by the Gibson method

Calibration of turbines, pumps, gates, and valves

Urban storm drains

Selected references

Chapter 15—Computation of discharge records

General

Station analysis

Datum corrections

Review of discharge measurements

Station rating-simple stage-discharge relation

Plotting of discharge measurement

Station rating-three-parameter discharge relation

Computation of discharge records for a nonrecording gaging station

Computation of gage-height record

Computation of discharge records for a recording station equipped with a graphic recorder

Computation of gage-height record

Determination of time corrections

Determination of gage-height corrections

Determination of daily mean gage height

Subdivision of daily gage heights

Computation of daily discharge

Preparation of form for computing and tabulating discharge

Determination of discharge from the gage-height record

Estimation of daily discharge for periods of indeterminate stage-discharge relation

Estimation of daily discharge for periods of no gage-height record

Case A. No gage-height record during a low- or medium-flow recession on an uncontrolled stream

Case B. No gage-height record during periods of fluctuating discharge on an uncontrolled stream

Case C. No gage-height record for a station on a hydroelectric power plant canal

Case D. No gage-height record for a station immediately downsteam from a reservoir.

Case E. No gage-height record for a station on a controlled stream where the station is far downstream from the known controlled release

Completion of the discharge form

Record of progress of discharge computations

Station-analysis document

Station analysis

Computation of discharge records when a three-parameter discharge relation is used

Computation of discharge records for a recording station equipped with a digital recorder

General

Input to computer

Output from computer

Sequence of operation of an automated computing system

Selected references

Chapter 16—Presentation and publication of stream-gaging data

General

Format

Selected reference

 

Index


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