Wave Base Depth Motion Ceases Calculator
Deep-water exponential orbital decay to explicit nonzero fraction, rejects literal motion cessation and no arbitraryλ/2 threshold. 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
Water-wave orbital motion decreases with depth in the deep-water exponential model.
Water-wave orbital motion decreases with depth in the deep-water exponential model.1
A nonzero decay fraction defines a depth of interest; motion does not abruptly cease at a finite depth.
When to use Wave Base Depth Motion Ceases Calculator
Use this tool to calculate or review the supplied observations under the stated rules. Match the observation interval, units, datum, coordinate signs and model regime.
How to use Wave Base Depth Motion Ceases Calculator and understand its results
- Match the observation interval, units, datum, coordinate signs and model regime.
- Enter observedWaveLengthM, callerRemainingDeepWaterOrbitalFraction, using the field meanings and rules below, then run the tool.
- Read exponentialOrbitalWaveBaseDepthM. Inspect nested result fields where present, and review unknown records separately from known matches.
- Correct any reported input issue and run again. Before using a successful result, check the stated units, signs, reference scope and observation coverage.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| observedWaveLengthM | Observed wave length m | number | Required |
| callerRemainingDeepWaterOrbitalFraction | Caller remaining deep water orbital fraction | number | Required |
Require wavelength>0 and 0<f≤1. Return −wavelength×ln(f)/(2π), a nonnegative depth below the surface; f=1 gives zero. The caller establishes the deep-water regime.
depth=−λ ln(f)/(2π) Use the matching field units and the exact boundary, ordering and reference rules above.
| Output field | Meaning | Value type |
|---|---|---|
| exponentialOrbitalWaveBaseDepthM | Exponential orbital wave base depth m | number |
{
"input": {
"observedWaveLengthM": 20,
"callerRemainingDeepWaterOrbitalFraction": 0.1
},
"output": {
"exponentialOrbitalWaveBaseDepthM": 7.329355988794276
}
}Limitations and assumptions
The stated observation or model covers only the supplied record and reference regime. It does not fill missing measurements, supply uncertainty estimates or produce a validated forecast.
Missing required fields, unknown fields, wrong types and violated rules return input issues. Numeric values and outputs must be finite.
Alternative or Complementary methods
For a related step, use Setup Plus Swash Stockdon Split Calculator: Wave setup and swash contribute to extreme runup on a beach. For a complementary comparison, use Breaker Depth Index McCowan Calculator: The breaker-depth index compares observed breaking-wave height with water depth.
References
-
Wave Base Depth Motion Ceases Calculator — tool.io
Similar or alternative tools
- Setup Plus Swash Stockdon Split Calculator
Wave setup and swash contribute to extreme runup on a beach.
- Breaker Depth Index McCowan Calculator
The breaker-depth index compares observed breaking-wave height with water depth.