Tsunami Shoaling Amplitude Deep To Shore
Apply linear long-wave Green shoaling plus supplied ray-width and energy-loss factors; excludes breaking, resonance and inundation and does not certify tsunami hazard.
Description
Long-wave shoaling can increase amplitude as water shallows.
Long-wave shoaling can increase amplitude as water shallows. Ray focusing and energy loss alter that multiplier.
Apply linear long-wave Green shoaling plus supplied ray-width and energy-loss factors; excludes breaking, resonance and inundation and does not certify tsunami hazard.
When to use Tsunami Shoaling Amplitude Deep To Shore
Use this tool to apply linear long-wave Green shoaling plus supplied ray-width and energy-loss factors; excludes breaking, resonance and inundation and does not certify tsunami hazard.
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 Tsunami Shoaling Amplitude Deep To Shore 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 referenceAmplitudeM, referenceDepthM, shoreDepthM, referenceRayWidthM, shoreRayWidthM, retainedEnergyFluxFraction using the field table and calculation rules, then run the tool.
- Read shoaledAmplitudeM, amplitudeMultiplier. 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 |
|---|---|---|---|
| referenceAmplitudeM | Reference amplitude m | number | Required |
| referenceDepthM | Reference depth m | number | Required |
| shoreDepthM | Shore depth m | number | Required |
| referenceRayWidthM | Reference ray width m | number | Required |
| shoreRayWidthM | Shore ray width m | number | Required |
| retainedEnergyFluxFraction | Retained energy flux fraction | number | Required |
Use positive depths and ray widths, nonnegative reference amplitude and retained fraction in [0,1]. Return multiplier and shoaled amplitude, not wave height.1
amplitude multiplier = (reference depth/shore depth)^0.25 × sqrt(reference width/shore width × retained energy) Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| shoaledAmplitudeM | Shoaled amplitude m | number |
| amplitudeMultiplier | Amplitude multiplier | number |
{
"input": {
"referenceAmplitudeM": 1,
"referenceDepthM": 100,
"shoreDepthM": 1,
"referenceRayWidthM": 100,
"shoreRayWidthM": 25,
"retainedEnergyFluxFraction": 1
},
"output": {
"shoaledAmplitudeM": 6.324555320336759,
"amplitudeMultiplier": 6.324555320336759
}
}Limitations and assumptions
Linear Green-law assumptions exclude breaking, resonance and inundation.
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 Tsunami Travel Time Constant Depth: Sum long-wave travel time over supplied constant-depth path segments; distances are explicit, no geodesic route construction, dispersion or arrival-warning guarantee. For a complementary task, use Shoaling Coefficient H H0: Transform wave height by supplied group speeds and retained energy flux on constant-width rays; no refraction or breaking correction is silently included.
References
-
Tsunami Shoaling Amplitude Deep To Shore — tool.io
Similar or alternative tools
- Tsunami Travel Time Constant Depth
Sum long-wave travel time over supplied constant-depth path segments; distances are explicit, no geodesic route construction, dispersion or arrival-warning guarantee.
- Shoaling Coefficient H H0
Transform wave height by supplied group speeds and retained energy flux on constant-width rays; no refraction or breaking correction is silently included.