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.

Description

Empirical closure depth uses a selected wave exceedance statistic and associated period.

Empirical closure depth uses a selected wave exceedance statistic and associated period. Coefficients depend on the chosen calibration.

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.

When to use Closure Depth Hallermeier Formula

Use this tool to 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.

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 Closure Depth Hallermeier Formula and understand its results

Gather the water, wave, current or profile observations and any supplied calibration constants. Confirm units and the stated coordinate and pressure conventions.
Enter exceededWaveHeightM, associatedWavePeriodSeconds, gravityMPerSecondSquared, heightMultiplier, correctionMultiplier using the field table and calculation rules, then run the tool.
Read hallermeierClosureDepthM. The explanation below defines the units, signs, ordering and any flags or placeholder values.
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 field	Meaning	Value type; see rules below	Requirement
exceededWaveHeightM	Exceeded wave height m	number	Required
associatedWavePeriodSeconds	Associated wave period seconds	number	Required
gravityMPerSecondSquared	Gravity m per second squared	number	Required
heightMultiplier	Height multiplier	number	Required
correctionMultiplier	Correction multiplier	number	Required

Use positive wave height, period, gravity and height multiplier with nonnegative correction. Require the resulting depth positive.^[1]

closure depth = height multiplier × H − correction multiplier × H²/(gravity × period²)

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

Output field	Meaning	Value type
hallermeierClosureDepthM	Hallermeier closure depth m	number

json

{
  "input": {
    "exceededWaveHeightM": 2,
    "associatedWavePeriodSeconds": 10,
    "gravityMPerSecondSquared": 10,
    "heightMultiplier": 2.28,
    "correctionMultiplier": 68.5
  },
  "output": {
    "hallermeierClosureDepthM": 4.286
  }
}

Limitations and assumptions

Statistic selection and Hallermeier applicability are external; no universal coefficient is supplied.

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 Equilibrium Beach Profile Dean Parameter: Fit Dean h=A x^(2/3) through the supplied shoreline origin by depth-residual least squares; not a universal grain-size lookup or free-origin profile fit. For a complementary task, use 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.

References

Closure Depth Hallermeier Formula — tool.io

Similar or alternative tools

Equilibrium Beach Profile Dean Parameter
Fit Dean h=A x^(2/3) through the supplied shoreline origin by depth-residual least squares; not a universal grain-size lookup or free-origin profile fit.
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.