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Elastic Rebound Theory and Earthquake Cycle: Displacement, Stress, and Friction, Summaries of Earth Sciences

An overview of the Elastic Rebound Theory and the earthquake cycle, focusing on the concept of coseismic surface displacements and interseismic velocities. data from a 1927 strike-slip earthquake in Japan, 2D horizontal displacement patterns, and a discussion on the role of friction and elasticity in earthquake formation. Students will learn about the relationship between strain, elasticity, stress, and the conditions required for an earthquake to occur.

What you will learn

  • What role does friction play in earthquake formation?
  • What causes earthquakes according to the Elastic Rebound Theory?
  • How does the interseismic velocity of points on the ground change around a fault?

Typology: Summaries

2021/2022

Uploaded on 09/12/2022

ekavir
ekavir 🇺🇸

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Elastic Rebound Theory
The Earthquake Cycle
Coseismic surface displacements from a typical,
large strike-slip earthquake.
Homework 1: your
displacement versus
distance plots
slipped
Displacement versus distance
data from a 1927 strike-slip
earthquake in Japan
(Scholz, 2002)
(meters)
pf3
pf4
pf5

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Elastic Rebound Theory

The Earthquake Cycle

Coseismic surface displacements from a typical,

large strike-slip earthquake.

Homework 1: your

displacement versus

distance plots

slipped

Displacement versus distance

data from a 1927 strike-slip

earthquake in Japan

(Scholz, 2002)

(meters)

2D horizontal displacement pattern at the Earth!s surface, from a model of a short strike-slip fault (red line)

Plan view

Displacement vectors for a shorter rupture

Note the vectors off the ends of the rupture are NOT parallel to the fault.

They are perpendicular to the fault along strike beyond the ends of the rupture.

Both the east component and the north component of displacement can

vary with position.

Displacement magnitude decreases with distance.

ULUT

TUBI

TEBA

SIVR

SILE

SEYH

SELP

SEFI

PIRE

OLUK

NALL

MHGZ

YIGI

28 mm/yr ABAT AGUZ

AKCO

ALAP

ANKR

AVCI

BOZT

CINA

CMLN

DEVR

DUMT

ESKI

FIS 1

HMZA

IIGUACZK

KANR

KANT

KAZI KDER

KIBR

KRDM

KTOP

KUTE

LTFY

MEKE

MER 1

D

D!

Blue = pre!Izmit earthquake GPS site velocities, 1!sigma

errors. Pink = modeled velocities.

Here is what interseismic (between-earthquake) velocities

of points on the ground around a fault look like

SAF model based on survey data in the Lawson Report

(1906 displacements) relative motion of rigid plates

slow steady motion

in this sense

(noted 1857-1906)

If the lithosphere is elastic, then stresses

build up as it warps.

Elasticity : more distortion (strain) --> more stress

Recall Hooke!s Law from 1st year (or high school)

physics: stretch a spring --> elastic force resists pulling

Rupture occurs when elastic

stresses exceed what the fault can

Elastic stresses build up as bear (friction).

rock deforms slowly over time

Rocks along fault spring back to

undeformed state (“elastic rebound”)

Elastic Rebound Theory of Reid (1908), based on survey

data from the 1906 Lawson Report

Cascadia Subduction Zone

you are here

How to make an earthquake: Build up enough shear stress to exceed the frictional strength of a fault, over a large enough spatial surface area of a frictionally unstable (“velocity weakening”) fault

We must define strain, elasticity, and stress (shear stress and normal stress).

First: strain and how we measure it with GPS.

We must define friction and (with normal stress) the strength of the fault

(1) Building up shear stress:

(2) Frictional strength of the fault: How to make an earthquake: Build up enough shear stress to exceed the frictional strength of a fault, over a large enough spatial surface area of a frictionally unstable (“velocity weakening”) fault

We must define strain, elasticity, and stress (shear stress and normal stress).

First: strain and how we measure it with GPS.

We must understand the stability criteria for failure on the fault, that is, conditions leading to an earthquake rather than steady frictional creep on the fault

We must define friction and (with normal stress) the strength of the fault

(1) Building up shear stress:

(3) Other required conditions (“velocity- weakening friction”, “large enough area” of the fault:

(2) Frictional strength of the fault: