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Earthquake Moment Magnitude (Mw) & Scalar Seismic Moment Calculator

Easily calculate and compute earthquake moment magnitude (mw) & scalar seismic moment calculator with accurate equations, live formulas, and expert guidance.

Fault plane rupture area (Length × Down-dip Width in km²).

Mean co-seismic fault slip displacement across the rupture zone.

Crustal rigidity modulus (typically 30-35 GPa in continental crust).

Calculated Result
3.98

Moment Magnitude (Mw)

Moment Magnitude (Mw)

3.98

Moment Magnitude Mw

3.98

Scalar Seismic Moment Nm

34560000000000000000

Radiated Seismic Energy Joules

58020000000

Tnt Equivalent Megatons

0.00001387

3.98

Calculation Breakdown

  1. Applied FormulaCalculates scalar seismic moment M0 and Hanks-Kanamori moment magnitude Mw from fault rupture surface geometry and coseismic dislocation slip.M_w = \frac{2}{3} \log_{10}(M_0) - 9.05 \quad [M_0 \text{ in N}\cdot\text{m}], \quad M_0 = \mu A \bar{D}

Moment Magnitude Mw Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.01.02.03.04.0Moment Magnitude (Mw)

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

This tool computes earthquake moment magnitude (mw) & scalar seismic moment calculator with high precision arithmetic.

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

Calculates scalar seismic moment M0 and Hanks-Kanamori moment magnitude Mw from fault rupture surface geometry and coseismic dislocation slip.

Earthquake Moment Magnitude (Mw) & Scalar Seismic Moment Calculator Formula & Variables

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

Mw=23log⁡10(M0)−9.05[M0 in N⋅m],M0=μADˉM_w = \frac{2}{3} \log_{10}(M_0) - 9.05 \quad [M_0 \text{ in N}\cdot\text{m}], \quad M_0 = \mu A \bar{D}

Calculates scalar seismic moment M0 and Hanks-Kanamori moment magnitude Mw from fault rupture surface geometry and coseismic dislocation slip.

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

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

Step-by-Step Example Calculation

Earthquake Moment Magnitude (Mw) & Scalar Seismic Moment Calculator Example

Input Values:

faultRuptureAreaKm2:450.0
averageFaultDisplacementSlipM:2.4
crustalShearModulusMuGPa:32.0
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required Moment Magnitude (Mw).

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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