Bruun Rule Shoreline Retreat

Compute signed ideal Bruun profile-translation retreat using supplied active width/closure/berm, assuming conservation and no alongshore exchange; not a site forecast.

Description

Bruun profile translation is an ideal sediment-conserving response to sea-level change.

Bruun profile translation is an ideal sediment-conserving response to sea-level change. Retreat remains signed when sea level falls.

Compute signed ideal Bruun profile-translation retreat using supplied active width/closure/berm, assuming conservation and no alongshore exchange; not a site forecast.

When to use Bruun Rule Shoreline Retreat

Use this tool to compute signed ideal Bruun profile-translation retreat using supplied active width/closure/berm, assuming conservation and no alongshore exchange; not a site forecast.

Gather the water, wave, current or profile observations and any supplied calibration constants. Confirm units and the stated coordinate and pressure conventions.

How to use Bruun Rule Shoreline Retreat and understand its results

  1. Gather the water, wave, current or profile observations and any supplied calibration constants. Confirm units and the stated coordinate and pressure conventions.
  2. Enter seaLevelChangeM, activeProfileWidthM, closureDepthM, bermHeightM using the field table and calculation rules, then run the tool.
  3. Read signedBruunRetreatM. The explanation below defines the units, signs, ordering and any flags or placeholder values.
  4. If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.
Input fieldMeaningValue type; see rules belowRequirement
seaLevelChangeMSea level change mnumberRequired
activeProfileWidthMActive profile width mnumberRequired
closureDepthMClosure depth mnumberRequired
bermHeightMBerm height mnumberRequired

Use positive active width and closure depth and nonnegative berm height. Preserve signed sea-level change and signed retreat in meters.1

retreat = sea-level change × active width/(closure depth + berm height)

Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.

Output fieldMeaningValue type
signedBruunRetreatMSigned bruun retreat mnumber
json
{
  "input": {
    "seaLevelChangeM": 0.5,
    "activeProfileWidthM": 100,
    "closureDepthM": 10,
    "bermHeightM": 2
  },
  "output": {
    "signedBruunRetreatM": 4.166666666666667
  }
}

Limitations and assumptions

No alongshore exchange or site-specific shoreline forecast is modeled.

Numbers and computed results must be finite; overflow produces an error. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors.

Alternative or Complementary methods

Use Closure Depth Hallermeier Formula: Evaluate a caller-coefficient Hallermeier closure-depth screen using the wave height exceeded for the caller selected duration; empirical applicability and wave statistic selection remain external. For a complementary task, use Beach Nourishment Fill Volume: Integrate measured target-minus-existing profile fill on supplied stations and length, then account for retention; target cuts error rather than silently crediting cut volume as nourishment.

References

  1. Bruun Rule Shoreline Retreat — tool.io

Similar or alternative tools

  • Closure Depth Hallermeier Formula

    Evaluate a caller-coefficient Hallermeier closure-depth screen using the wave height exceeded for the caller selected duration; empirical applicability and wave statistic selection remain external.

  • Beach Nourishment Fill Volume

    Integrate measured target-minus-existing profile fill on supplied stations and length, then account for retention; target cuts error rather than silently crediting cut volume as nourishment.

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