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Seismic Rayleigh Wave Phase Velocity & Ground Roll Calculator

Easily calculate and compute seismic rayleigh wave phase velocity & ground roll calculator with accurate equations, live formulas, and expert guidance.

Subsurface S-wave propagation speed.

Poisson ratio of the near-surface soil stratum (typically 0.25 to 0.45).

Characteristic low-frequency ground roll surface wave frequency.

Calculated Result
327 m/s

Rayleigh Phase Velocity (Vr)

Rayleigh Phase Velocity (Vr)

327 m/s

Rayleigh Phase Velocity Vr Ms

327

Vr Vs Velocity Ratio

0.934

Surface Wavelength M

38.5

Ground Roll Penetration Depth M

38.5

327 — m/s

Calculation Breakdown

  1. Applied FormulaSolves Rayleigh surface wave secular dispersion to compute phase velocity, retrograde elliptical particle motion propagation speed, and ground roll wavelength.\left( 2 - \frac{V_r^2}{V_s^2} \right)^2 = 4 \sqrt{1 - \frac{V_r^2}{V_p^2}} \sqrt{1 - \frac{V_r^2}{V_s^2}}

Rayleigh Wave Velocity Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.082164245327Rayleigh Phase Velocity (Vr)

What Is the Seismic Rayleigh Wave Phase Velocity & Ground Roll Calculator?

This tool computes seismic rayleigh wave phase velocity & ground roll calculator with high precision arithmetic.

How Does the Seismic Rayleigh Wave Phase Velocity & Ground Roll Calculator Work?

Solves Rayleigh surface wave secular dispersion to compute phase velocity, retrograde elliptical particle motion propagation speed, and ground roll wavelength.

Seismic Rayleigh Wave Phase Velocity & Ground Roll Calculator Formula & Variables

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

(2−Vr2Vs2)2=41−Vr2Vp21−Vr2Vs2\left( 2 - \frac{V_r^2}{V_s^2} \right)^2 = 4 \sqrt{1 - \frac{V_r^2}{V_p^2}} \sqrt{1 - \frac{V_r^2}{V_s^2}}

Solves Rayleigh surface wave secular dispersion to compute phase velocity, retrograde elliptical particle motion propagation speed, and ground roll wavelength.

How to Use the Seismic Rayleigh Wave Phase Velocity & Ground Roll Calculator

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

Step-by-Step Example Calculation

Seismic Rayleigh Wave Phase Velocity & Ground Roll Calculator Example

Input Values:

shearWaveVelocityVsMs:350.0
poissonsRatioNu:0.33
waveFrequencyFHz:8.5
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required m/s.

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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