Sediment Transport Capacity Calculator

Caller calibrated Meyer–Peter–Müller excess Shields bedload per width, no total suspended capacity, field sediment supply or universal coefficient. Caller independently establishes units, regime, calibration and applicability; this does not establish design-code compliance, authenticity, operational safety, treatment efficacy or a validated forecast.

Description

A Meyer-Peter-Müller-type expression estimates transport per unit width above a critical Shields value.

A Meyer-Peter-Müller-type expression estimates transport per unit width above a critical Shields value.1

Coefficients, grain properties and applicability are independently supplied model assumptions. Use this tool to calculate sediment Transport Capacity from the supplied measurements and assumptions.

When to use Sediment Transport Capacity Calculator

Use this tool to calculate sediment Transport Capacity from the supplied measurements and assumptions. Establish the SI units or caller unit basis, load signs, measurement interval, model conditions and independently chosen coefficients or references.

How to use Sediment Transport Capacity Calculator and understand its results

  1. Establish the SI units or caller unit basis, load signs, measurement interval, model conditions and independently chosen coefficients or references.
  2. Enter callerShieldsStress, callerCriticalShieldsStress, callerMpmCoefficient, relativeSubmergedSedimentDensity, gravityMSecond2, grainDiameterM, using the field meanings and rules below, then run the tool.
  3. Read meyerPeterMullerBedloadM2Second. Interpret the fields using their units, signs and evidence conventions below.
  4. If input validation fails, correct the reported field and run again. Before applying the result, check reference scope, model assumptions and any missing evidence or placeholder values.
Input fieldMeaningValue typeRequirement
callerShieldsStressCaller shields stressnumberRequired
callerCriticalShieldsStressCaller critical shields stressnumberRequired
callerMpmCoefficientCaller mpm coefficientnumberRequired
relativeSubmergedSedimentDensityRelative submerged sediment densitynumberRequired
gravityMSecond2Gravity m second2numberRequired
grainDiameterMGrain diameter mnumberRequired

Enter nonnegative Shields stress, critical Shields stress and coefficient, with positive relative submerged density, gravity and grain diameter. Clamp excess Shields stress at zero, raise it to 3/2 and multiply by coefficient×sqrt(relativeDensity×gravity×diameter³). Output is m²/s per unit width, not total sediment discharge.

transportPerWidthM²/s=C×max(0,theta−thetaCritical)^(3/2)×sqrt(s×g×d³)

Use the exact units, boundary rules, ordering and missing-evidence conventions above.

Output fieldMeaningValue type
meyerPeterMullerBedloadM2SecondMeyer Peter Muller Bedload M2 Second; follow the units, sign, ordering and evidence convention stated abovenumber
json
{
  "input": {
    "callerShieldsStress": 0.1,
    "callerCriticalShieldsStress": 0.05,
    "callerMpmCoefficient": 8,
    "relativeSubmergedSedimentDensity": 1,
    "gravityMSecond2": 10,
    "grainDiameterM": 0.01
  },
  "output": {
    "meyerPeterMullerBedloadM2Second": 0.0002828427124746191
  }
}

Limitations and assumptions

Coefficients, grain properties and applicability are independently supplied model assumptions. Interpretation depends on the units, sampling scope and exact model described above.

All listed fields require explicit values. Unexpected fields, incorrect types, nonfinite numbers and sparse evidence arrays fail validation; the specific bounds and alignment requirements are stated above. Extremely large inputs or outputs can also be rejected. An input error is distinct from a successful result reporting false, no matches or missing evidence.

Alternative or Complementary methods

Use Sediment Trap Efficiency Calculator for this related task: A sediment balance compares inflow mass, outflow mass and storage change.

Use Sewer Self-Cleansing Velocity Calculator when its separate inputs and assumptions fit the question: A wall-shear relation connects a target shear stress with a Darcy friction factor and flow velocity.

References

  1. Sediment Transport Capacity Calculator — tool.io

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