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Tsunami Deep-Water Propagation Speed & Shallow-Water Amplification Calculator

Easily calculate and compute tsunami deep-water propagation speed & shallow-water amplification calculator with accurate equations, live formulas, and expert guidance.

Water depth in open ocean abyssal plain where tsunami originates.

Crest amplitude in deep water.

Shallow coastal water depth near continental shelf/beach.

Calculated Result
756 km/h

Deep-Ocean Tsunami Speed

Deep-Ocean Tsunami Speed

756 km/h

Deep Water Propagation Speed Kmh

756

Deep Water Propagation Speed Ms

210.1

Coastal Wave Speed Kmh

31.9

Coastal Shoaled Wave Height H2 M

3.9

756 — km/h

Calculation Breakdown

  1. Applied FormulaComputes open-ocean tsunami wave velocity using shallow-water gravity wave theory and near-shore runup amplification using Green’s law.c = \sqrt{gh}, \quad \frac{H_2}{H_1} = \left(\frac{h_1}{h_2}\right)^{1/4}, \quad \frac{c_1}{c_2} = \sqrt{\frac{h_1}{h_2}}

Tsunami Wave Velocity Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.0189378567756Deep-Ocean Tsunami Speed

What Is the Tsunami Deep-Water Propagation Speed & Shallow-Water Amplification Calculator?

This tool computes tsunami deep-water propagation speed & shallow-water amplification calculator with high precision arithmetic.

How Does the Tsunami Deep-Water Propagation Speed & Shallow-Water Amplification Calculator Work?

Computes open-ocean tsunami wave velocity using shallow-water gravity wave theory and near-shore runup amplification using Green’s law.

Tsunami Deep-Water Propagation Speed & Shallow-Water Amplification Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

c=gh,H2H1=(h1h2)1/4,c1c2=h1h2c = \sqrt{gh}, \quad \frac{H_2}{H_1} = \left(\frac{h_1}{h_2}\right)^{1/4}, \quad \frac{c_1}{c_2} = \sqrt{\frac{h_1}{h_2}}

Computes open-ocean tsunami wave velocity using shallow-water gravity wave theory and near-shore runup amplification using Green’s law.

How to Use the Tsunami Deep-Water Propagation Speed & Shallow-Water Amplification Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

Tsunami Deep-Water Propagation Speed & Shallow-Water Amplification Calculator Example

Input Values:

deepOceanDepthH1M:4500.0
deepOceanWaveHeightH1M:0.80
coastalShoalingDepthH2M:8.0
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required km/h.

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

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