Skip to main content

Kanamori Seismic Moment & Moment Magnitude (Mw) Calculator

The moment magnitude scale (Mw) introduced by Hiroo Kanamori is the standard physical measure of earthquake size, avoiding the saturation limits of older Richter scales.

Calculated Result
7.13

Moment Magnitude (M_w)

Seismic Moment (M₀)

6.400e+19 N·m

Radiated Energy (E_s)

3.20e+15 Joules

TNT Energy Equivalent

764.8 kilotons

Calculation Breakdown

  1. M₀ = μ · A · D6.400e+19 N·m
  2. M_w = ⅔·log₁₀(M₀) - 6.077.13

What Is the Kanamori Seismic Moment & Moment Magnitude (Mw) Calculator?

The moment magnitude scale (Mw) introduced by Hiroo Kanamori is the standard physical measure of earthquake size, avoiding the saturation limits of older Richter scales.

This calculator derives total energy release from crustal shear modulus, fault rupture surface area, and average slip displacement.

How Does the Kanamori Seismic Moment & Moment Magnitude (Mw) Calculator Work?

The calculation evaluates user-provided measurements using recognized domain equations, converts between measurement units, and adjusts for real-world efficiency factors.

Kanamori Seismic Moment & Moment Magnitude (Mw) Calculator Formula & Variables

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

M_0 = μ · A · D, M_w = 2/3 · log₁₀(M_0) - 6.07, E_s = M_0 / (2 · 10⁴)

Calculates physical seismic moment M_0 in N·m and converts to Kanamori moment magnitude M_w and radiated seismic energy.

How to Use the Kanamori Seismic Moment & Moment Magnitude (Mw) Calculator

  1. Enter your primary measurements in the input fields above.
  2. Select your preferred units (e.g. metric or imperial) if applicable.
  3. Review or adjust operational assumptions such as field efficiency.
  4. Click Calculate to instantly generate the full results breakdown and visual chart.
  5. Use the Reset button at any time to clear the form and test a new scenario.

Step-by-Step Example Calculation

Major strike-slip rupture: 800 km² fault area, 2.5m slip in granite crust (32 GPa)

Input Values:

shearModulusMuGPa:32
ruptureFaultAreaKm2:800
averageSlipDisplacementM:2.5
Worked Steps: Yields seismic moment M0 = 6.4e19 N·m, corresponding to Moment Magnitude Mw 7.18.

Understanding Your Result

Your calculated result represents the realistic operational capacity or baseline output under the specified conditions. Comparing theoretical and effective outputs reveals the direct impact of turns, overlap, and practical downtime.

Factors That Affect the Result

Field terrain, operator experience, equipment maintenance, overlap margin, and weather conditions can significantly influence real-world output.

When Should You Use This Calculator?

Use this calculator whenever you need quick, verified estimates for job planning, budgeting, equipment sizing, or project timelines.

Assumptions & Limitations

  • Geophysics
  • Seismology
  • Earth Sciences

Frequently Asked Questions

Calculation Accuracy & Reference Note

This calculator implements verified, deterministic mathematical equations based on published standards. Results should be treated as professional engineering estimates; always verify critical operations with local equipment manuals and site inspections.

Explore more tools and calculators in Physics Calculators