Skip to main content
CalcPro

Seismic Body Wave Velocity (Compressional V_p & Shear V_s) Calculator

Easily calculate and compute seismic body wave velocity (compressional v_p & shear v_s) calculator with accurate equations, live formulas, and expert guidance.

Incompressibility modulus (e.g. granite ≈ 35-50 GPa).

Rigidity modulus (e.g. granite ≈ 20-35 GPa; fluids = 0 GPa).

Bulk rock density (e.g. 2650 kg/m³).

Calculated Result
5.19 km/s

P-Wave (V_p)

P-Wave (V_p)

5.19 km/s

Compressional Wave Velocity Vp Km Per Sec

5.19

Shear Wave Velocity Vs Km Per Sec

3.07

Velocity Ratio Vp Over Vs

1.69

Poisson Ratio Nu

0.23

5.19 — km/s

Calculation Breakdown

  1. Applied FormulaCalculates the propagation velocities of compressional primary P-waves (V_p) and transverse secondary S-waves (V_s) from rock elastic moduli and density.V_p = \sqrt{\frac{K + \frac{4}{3}G}{\rho}}, \quad V_s = \sqrt{\frac{G}{\rho}}

Seismic Body Waves (V_p & V_s) Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.01.32.63.95.2P-Wave (V_p)

What Is the Seismic Body Wave Velocity (Compressional V_p & Shear V_s) Calculator?

This tool computes seismic body wave velocity (compressional v_p & shear v_s) calculator with high precision arithmetic.

How Does the Seismic Body Wave Velocity (Compressional V_p & Shear V_s) Calculator Work?

Calculates the propagation velocities of compressional primary P-waves (V_p) and transverse secondary S-waves (V_s) from rock elastic moduli and density.

Seismic Body Wave Velocity (Compressional V_p & Shear V_s) Calculator Formula & Variables

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

Vp=K+43Gρ,Vs=GρV_p = \sqrt{\frac{K + \frac{4}{3}G}{\rho}}, \quad V_s = \sqrt{\frac{G}{\rho}}

Calculates the propagation velocities of compressional primary P-waves (V_p) and transverse secondary S-waves (V_s) from rock elastic moduli and density.

How to Use the Seismic Body Wave Velocity (Compressional V_p & Shear V_s) Calculator

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

Step-by-Step Example Calculation

Seismic Body Wave Velocity (Compressional V_p & Shear V_s) Calculator Example

Input Values:

bulkModulusK_Gpa:38
shearModulusG_Gpa:25
rockDensityKgPerM3:2650
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.

\n

Related Calculators

Explore more tools and calculators in Physics Calculators

Length Converter

Convert length and distance between metric and imperial units including meters, feet, inches, kilometers, miles, and yards with exact SI definitions.

Percentage Calculator

Calculate percentages: what % X is of Y, P% of X, % change, discount price, and percentage points.

Temperature Converter

Convert temperatures between Celsius (°C), Fahrenheit (°F), Kelvin (K), and Rankine (°R) with step-by-step thermodynamic formulas.

Ohm's Law & Electrical Power Calculator

Calculate Voltage (V), Current (I), Resistance (R), and Electrical Power (P) across DC circuits.

Density, Mass & Volume Calculator

Calculate density (ρ = m/V), material mass, or physical volume for solids, liquids, and gases.

Steam Turbine Surface Condenser Cooling Water Duty Calculator

Calculates surface condenser thermal heat rejection (MWth), circulating cooling water pumping volume (m³/h), and steam condensation rate.