Exploration Seismology Exam 1

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Hookes Law

Statement of linear relationship between stress and strain

Applies to "elastic" region of materials

σ=Cε

C: "stiffness" of spring
Shear Modulus (μ)

Ratio of shear stress to shear strain

Units of pressure (Pa)
Young's Modulus (E)

Ratio of normal stress to normal strain

Units of pressure (Pa)
Poison's Ratio (σ)

Ratio of negative of transverse strain to longitudinal strain

no units
Bulk Modulus (k)

Ratio of pressure to change in volume (dilatation)
Lame's Constant (λ)
Shear Modulus of liquids

μ=0
Stress

Force per area

Units of pressure
Strain

Change in shape or dimension

No units
Example of low poison's ratio

sponge
Example of high poison's ratio

Lead cylinder
Group Velocity

Connect inside branches of Christmas tree image
Phase Velocity

Branches of Christmas tree
Relationship of Amplitude and Radius
Relationship of Energy and Amplitude

(Directly Proportional)
Isotropic

All properties in a material are the same throughout
Relationship of Energy and Radius
Sampling Theorem

A signal can be competely reconstructed if it is sampled at least 2x per cyle

If not, it appears to be a totally different signal (aliasing)
Huygen's Principle

Every point on a wavefront serves as a new source of waves
Snell's Law
Slope of refracted arrival
Reflection Coefficient
Transmission Coefficient
Hyperbolic Travel Time Equation
Standard form for travel-time expression
Slope of direct arival
Fermat's principle

The first arrival of a wave will be from the path of least resistance
Max S-wave velocity

.7 of p-wave velocity
4 assumptions of boundary conditions (z equations)

Continuity of Normal Displacement

Continuity of Tangential Displacement

Continuity of Normal Stress

Continuity of Tangential Stress

Author

KarlPeterson

239541

Card Set

Exploration Seismology Exam 1

Description

Wave constants, etc.

Updated

2013-10-09T19:27:46Z