California Calculator

California Earthquake Intensity Calculator

Estimate Peak Ground Acceleration (PGA) and Modified Mercalli Intensity (MMI) shaking by magnitude and fault distance based on USGS ShakeMap standards.

Earthquake Source & Distance
USGS ShakeMap attenuation parameters & California fault models
USGS / CGS Standards
Major California Fault Presets:
Mw 7.0
Mw 3.0 (Minor)Mw 5.5 (Moderate)Mw 7.0 (Major)Mw 8.2 (Great)
25 Miles
1 Mile (Epicenter)30 Miles (Suburbs)75 Miles (Regional)150 Miles (Distant)
6 Miles (~10 km)

Typical shallow California crustal earthquakes occur between 4 and 10 miles deep.

Estimated Shaking Intensity
MMI V-VIModerate to Strong
13.4% g
Observed Ground Shaking:

Felt by everyone. Difficult to stand; loose furniture moves; glassware falls.

Structural Damage Assessment:

Slight damage to unreinforced structures

Peak Ground Acceleration (PGA):0.1335 g
Slant Hypocentral Distance:25.7 miles
Focal Depth:6 miles
Site Soil Conditions: Ground shaking amplification can double in soft sedimentary soils (Bay mud, LA Basin fill) compared to bedrock sites.

USGS ShakeMap Standards & Seismic Scales

Seismological parameters established by the USGS Earthquake Hazards Program and CGS

Source

Instrumental ground-motion attenuation equations and Modified Mercalli Intensity (MMI) ShakeMap standards.

Modified Mercalli Intensity (MMI) & Peak Ground Acceleration Scale

MMI ScalePeak Accel. (%g)Perceived ShakingPotential Structural Damage
I – II< 0.17% gBarely Felt / ImperceptibleNone
III – IV0.17% – 3.9% gLight to ModerateNone to negligible; loose objects rattle
V – VI3.9% – 18.0% gModerate to StrongSlight; dishes break, furniture moves
VII – VIII18.0% – 65.0% gVery Strong to SevereModerate to heavy in older structures
IX – X+> 65.0% gViolent to ExtremeCatastrophic structural collapse

How Earthquake Ground Motion Is Calculated

Mathematical formulas and step-by-step arithmetic breakdown

log₁₀(PGA) = c₁ + (c₂ × Mw) - (c₃ × log₁₀(R)) - (c₄ × R) where R = √(Distance² + Depth²)

Worked Example Calculation: Mw 7.0 Earthquake at 15 Miles Distance

Consider a major Mw 7.0 earthquake on the Hayward Fault with a focal depth of 6 miles, modeled for a home 15 miles away:

  • Moment Magnitude: Mw 7.0
  • Surface Distance to Fault: 15.0 miles
  • Focal Hypocenter Depth: 6.0 miles
  • Slant Hypocentral Distance (R): 16.2 miles (26.0 km)
  • Peak Ground Acceleration (PGA): 26.1% g (0.2608 g)
  • Modified Mercalli Intensity: MMI VII-VIII (Very Strong to Severe)
  • Expected Shaking: Alarm and panic; vehicle driving disturbed. Masonry walls crack and fail.

Travel Planning: Estimate how far and how long it takes to drive between major California cities with our California city-to-city driving distance calculator.

California-Specific Nuance: Shallow Faults & Basin Amplification

Why California earthquakes generate disproportionately violent shaking

The Strike-Slip Shallow Crust Hazard

Unlike subduction zone earthquakes in the Pacific Northwest or Japan where fault rupture occurs 20 to 50 miles below the Earth's surface, the San Andreas fault system consists of strike-slip transform boundaries where plates grind horizontally directly through populated urban valleys. Ruptures regularly breach the surface, meaning the focal depth is exceptionally shallow (often 4 to 8 miles).

Sedimentary Basin Resonances

The Los Angeles Basin and San Francisco Bay mud flats act like bowls of gelatin during major seismic events. Seismic waves slow down as they enter soft alluvium, increasing their amplitude and duration. A home built on unreinforced bay fill can experience up to twice the peak ground acceleration of an identical home built on solid granite in the foothills.

Frequently Asked Questions About California Earthquakes

Geological safety guidelines from the USGS and Cal OES

Magnitude (typically measured on the Moment Magnitude scale, Mw) measures the total seismic energy released at the earthquake source, which is a single number for each event. Intensity (measured on the Modified Mercalli Intensity scale, MMI) measures the actual ground shaking and damage at a specific geographic location, which decreases with distance from the fault.