Earths Gravitational Field Calculator

Calculate earthquake Moment magnitude (M_w), Richter scale seismic wave amplitude, tsunami propagation speed v = √(g × d), and geothermal temperature gradients for earths gravitational field.

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Input Geophysical Parameters

Enter ocean depth d, seismic wave amplitude, or depth z.

Calculated Tsunami Wave Speed / Value

198.04 m/s (713 km/h)
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Shallow Water Wave Theory

In deep ocean trenches (d ≈ 4,000 m), tsunami waves travel at jet airliner speeds: v = √(g × d) ≈ √(9.81 × 4000) ≈ 198 m/s (~713 km/h or 443 mph).

Calculation Methodology & Details

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Formula

Tsunami Speed: v = √(g × d) Moment Magnitude: M_w = ⅔ log₁₀(M₀) - 6.07 (where M₀ = μ A D) Richter Scale: M_L = log₁₀(A) + 3 log₁₀(8 Δt) - 2.92 Geothermal Gradient: dT/dz ≈ 25 - 30 °C/km

Applies elastodynamic seismic body/surface wave propagation, International Gravity Formula 1980 (IGF80), and plate tectonic GPS vector velocities.

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Important Disclaimer

Calculations assume isotropic crustal rock density and standard gravitational acceleration g = 9.80665 m/s² unless latitude correction is provided.

How to Calculate Step-by-Step

Follow these steps to complete the calculation:

1

Step 1

Enter ocean depth d (meters), seismograph Wood-Anderson amplitude (mm), or fault area A (km²).

2

Step 2

Input crustal shear modulus μ (~30 GPa) or fault slip displacement D (meters).

3

Step 3

View moment magnitude Mw, total seismic energy released in Joules/TNT equivalent, tsunami phase speed (km/h), or P/S seismic wave velocity (km/s).

Detailed Insights & Expert Guide

ℹ️ About this Calculation

The Earths Gravitational Field Calculator calculates earthquake Moment magnitude (Mw), seismic P and S wave propagation velocities, tsunami wave speed in open oceans, Bouguer gravity anomalies, tectonic plate drift rates, and geothermal temperature increases with depth.

Variable Glossary

Input

Moment Magnitude (M_w)

Logarithmic scale measuring total energy released by an earthquake based on seismic moment M₀ = μ × A × D.

Parameter

Geothermal Gradient

Rate of increasing temperature with respect to increasing depth in the Earth's interior (typically 25 °C/km in continental crust).

FAQ

Why increases each step on the Richter / Moment scale?
Each whole number step increase on the logarithmic Moment magnitude scale represents ~31.6 times more energy released (10^(1.5) ≈ 31.62). A magnitude 7.0 earthquake releases 1,000 times more energy than a magnitude 5.0.
How fast do seismic P-waves and S-waves travel?
Compressional P-waves (Primary) travel fastest through granite crust at ~5–8 km/s. Shear S-waves (Secondary) travel slower at ~3–4.5 km/s and cannot pass through liquid outer core layers.
How fast do tectonic plates move?
Tectonic plates move driven by mantle convection at speeds ranging from 1 to 15 centimeters per year (~0.6 to 6 inches/year), roughly the same rate human fingernails grow.