Earthquakes and Seismology

Learning Objectives

  • Understand the primary causes of earthquakes and fault classifications.
  • Distinguish between body waves and surface waves and their behavior.
  • Differentiate between earthquake magnitude and intensity.
  • Identify common seismic hazards relevant to civil engineering, including liquefaction.
  • Calculate epicenter locations using P-wave and S-wave arrival times.

Seismic Activity

The generation and propagation of energy through the Earth's crust.

What is an Earthquake?

Earthquakes are the shaking of the Earth's surface caused by a sudden release of energy in the lithosphere. This sudden slip or rupture along a fault line creates seismic waves that radiate outward in all directions.

Causes of Earthquakes

Primary Causes of Earthquakes

Focus (Hypocenter)

The exact three-dimensional point within the Earth's crust where the earthquake rupture initiates. This is the true source from which seismic energy radiates.

Epicenter

The two-dimensional point on the Earth's surface located strictly vertically above the focus. Surface shaking and damage are typically, though not always, most severe near this point.

Seismic Waves

How earthquake energy travels through the Earth.

Interactive Simulation

Interact with the Seismic Wave visualizer below to see the differences in propagation between P and S waves.

Seismic Wave Visualizer

Primary (P) Waves

Compressional waves that travel through solids, liquids, and gases. They are the fastest seismic waves and move in a push-pull motion parallel to the direction of wave propagation.

Speed: Fast (~6-13 km/s)
Medium: Solid, Liquid, Gas

Wave Transmission

Energy is transmitted as seismic waves. Seismographs record the arrival times and amplitudes of these waves to analyze the earthquake's properties.

Fault Types and Earthquakes

Characteristics by Fault Type

Different fault types generate characteristic earthquakes.

Common Fault Types

1. Body Waves

Internal Travel

Waves that travel through the interior volume of the Earth.

Types of Body Waves

2. Surface Waves

Surface Travel

Waves that travel exclusively along the Earth's surface or just below it. They are generated when body waves interact with the surface. They arrive after body waves and are slower, but they possess massive amplitudes. Their low-frequency rolling motion is responsible for the vast majority of catastrophic structural destruction.

Types of Surface Waves

Magnitude vs. Intensity

Distinguishing between the energy released and the localized damage caused.

Magnitude

A quantitative, absolute measure of the total strain energy released at the earthquake's source. The Moment Magnitude Scale (MwM_w) is the modern engineering standard, replacing the outdated Richter Scale. It accurately estimates energy by calculating the total fault slip area, average displacement, and the rock's rigidity. It is logarithmic: a 1.0 increase in magnitude represents a 10-fold increase in measured wave amplitude and approximately a 32-fold increase in total released energy.

Intensity

A qualitative, location-specific measure of the shaking severity and the resulting damage to built structures and the natural environment. The Modified Mercalli Intensity (MMI) Scale uses Roman numerals ranging from I (Not felt) to XII (Total destruction). Intensity at a specific site depends on the earthquake's magnitude, the site's distance from the epicenter, the depth of the focus, and local geotechnical soil conditions (e.g., soft, water-saturated soils drastically amplify shaking compared to solid bedrock).

Seismic Hazards and Risk Mitigation

Understanding and designing for the destructive effects of earthquakes.

Beyond Ground Shaking

Civil engineers must account for various seismic hazards beyond just ground shaking.

Primary Seismic Hazards

Engineering Seismic Design Parameters

Translating geological events into structural engineering forces.

Design Parameters over Magnitude

Structural engineers do not design buildings based directly on "Magnitude." They require specific, localized ground motion parameters to calculate the dynamic forces the building will experience.

Peak Ground Acceleration (PGA)

Peak Ground Acceleration (PGA)

Interpreting PGA

PGA is typically expressed as a fraction of the acceleration due to gravity (gg). For example, a severe earthquake might generate a PGA of 0.5g0.5g, meaning the building experiences a lateral force equal to half its own weight. PGA is heavily influenced by local site conditions; soft soils can significantly amplify the bedrock acceleration.

Response Spectra

Varying Building Responses

Different buildings respond differently to the same earthquake based on their stiffness and natural frequency.

Response Spectrum

Design Response Spectrum

Engineers use the Design Response Spectrum (often defined by national building codes like ASCE 7 or Eurocode 8) to determine the exact design acceleration for a specific building based on its calculated natural period of vibration. Short, stiff buildings (low natural period) generally experience higher accelerations but lower displacements, while tall, flexible buildings (high natural period) experience lower accelerations but much higher displacements.

Epicenter Location

Using travel times to pinpoint the source of an earthquake.

S-P Time and Triangulation

Because P-waves travel faster than S-waves, the time gap between their arrivals at a seismograph station increases as the distance from the earthquake increases. The distance to the epicenter (dd) can be estimated from this time difference (S−PS-P time). By calculating this distance from at least three geographically dispersed stations, the exact epicenter can be located using triangulation (finding the intersection of three circles).

Epicenter Distance

Estimates the distance to the earthquake source based on wave arrival times.

d≈(Ts−Tp)×kd \approx (T_s - T_p) \times k

Variables

SymbolDescriptionUnit
ddDistance to the epicenterkm
TsT_sArrival time of the S-waves
TpT_pArrival time of the P-waves
kkEmpirical velocity constant for the local crust (often roughly 8 km/s for introductory problems)km/s
Key Takeaways
  • Earthquakes originate deep underground at the Focus (Hypocenter); the surface projection directly above it is the Epicenter.
  • Body Waves include fast, compressional P-waves (travel through anything) and slower, shear S-waves (cannot travel through liquids).
  • Surface Waves (Love and Rayleigh waves) arrive last but possess large amplitudes that cause the most severe structural damage.
  • Magnitude (MwM_w) is a single, absolute measure of total energy released (logarithmic scale); Intensity (MMI) is a variable measure of localized shaking and damage based on site conditions.
  • Structural design relies on Peak Ground Acceleration (PGA) and Response Spectra, which translate geological shaking into precise dynamic forces for a specific building's natural period.
  • Seismic hazards extend far beyond pure ground shaking, heavily involving geotechnical failures like liquefaction and slope instability.
  • Because P-waves travel faster than S-waves, the time difference between their arrivals allows seismologists to determine the distance to an earthquake.
  • Triangulation, using the growing time gap between P-wave and S-wave arrivals from at least three stations, is used to pinpoint an earthquake's exact epicenter.