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Rayleigh & Love Surface Wave Dispersion Calculator

Easily calculate and compute rayleigh & love surface wave dispersion calculator with accurate equations, live formulas, and expert guidance.

Calculated Result
3.39 km/s

Rayleigh Wave Phase Velocity (c_R)

Rayleigh Wave Phase Velocity (c_R)

3.39 km/s

Love Wave Phase Velocity Km Per S

3.56

Wavelength Km

67.8

Effective Penetration Depth Km

27.1

3.39 — km/s

Calculation Breakdown

  1. Applied FormulaCalculates fundamental mode Rayleigh and Love surface wave phase and group velocities across layered elastic media as a function of period and Poisson ratio.c_R \approx v_S \frac{0.87 + 1.12 \nu}{1 + \nu}, \quad c_L(T) = v_{S1} \sqrt{1 + \left(\frac{v_{S2}^2 - v_{S1}^2}{v_{S2}^2}\right) f(T)}

Surface Wave Dispersion Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.00.81.72.53.4Rayleigh Wave Phase Velocity (c_R)

What Is the Rayleigh & Love Surface Wave Dispersion Calculator?

This tool computes rayleigh & love surface wave dispersion calculator with high precision arithmetic.

How Does the Rayleigh & Love Surface Wave Dispersion Calculator Work?

Calculates fundamental mode Rayleigh and Love surface wave phase and group velocities across layered elastic media as a function of period and Poisson ratio.

Rayleigh & Love Surface Wave Dispersion Calculator Formula & Variables

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

cR≈vS0.87+1.12ν1+ν,cL(T)=vS11+(vS22−vS12vS22)f(T)c_R \approx v_S \frac{0.87 + 1.12 \nu}{1 + \nu}, \quad c_L(T) = v_{S1} \sqrt{1 + \left(\frac{v_{S2}^2 - v_{S1}^2}{v_{S2}^2}\right) f(T)}

Calculates fundamental mode Rayleigh and Love surface wave phase and group velocities across layered elastic media as a function of period and Poisson ratio.

How to Use the Rayleigh & Love Surface Wave Dispersion Calculator

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

Step-by-Step Example Calculation

Rayleigh & Love Surface Wave Dispersion Calculator Example

Input Values:

crustalSWaveVelocityKmPerS:3.2
poissonRatio:0.25
lowerLayerSWaveVelocityKmPerS:4.4
wavePeriodSeconds:20
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required km/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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