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Applying Occam’s razor to determine Earth’s internal structure V 3.1 - Prepared by Michael Hubenthal Adapted from Braile, 2000, Hubenthal, 2006 & DLESE Teaching Boxes, 2008 http://www.iris.edu/hq/resource/determining_internal_structure

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Page 1: Applying Occam’s razor to determine Earth’s …...Applying Occam’s razor to determine Earth’s internal structure V 3.1 - Prepared by Michael Hubenthal Adapted from Braile,

Applying Occam’s razor to determine

Earth’s internal structure

V 3.1 - Prepared by Michael Hubenthal

Adapted from Braile, 2000, Hubenthal, 2006 & DLESE Teaching Boxes, 2008

http://www.iris.edu/hq/resource/determining_internal_structure

Page 2: Applying Occam’s razor to determine Earth’s …...Applying Occam’s razor to determine Earth’s internal structure V 3.1 - Prepared by Michael Hubenthal Adapted from Braile,

How do you know what is inside?

What is inside ?

Page 3: Applying Occam’s razor to determine Earth’s …...Applying Occam’s razor to determine Earth’s internal structure V 3.1 - Prepared by Michael Hubenthal Adapted from Braile,
Page 4: Applying Occam’s razor to determine Earth’s …...Applying Occam’s razor to determine Earth’s internal structure V 3.1 - Prepared by Michael Hubenthal Adapted from Braile,

What is inside

here?

Page 5: Applying Occam’s razor to determine Earth’s …...Applying Occam’s razor to determine Earth’s internal structure V 3.1 - Prepared by Michael Hubenthal Adapted from Braile,
Page 6: Applying Occam’s razor to determine Earth’s …...Applying Occam’s razor to determine Earth’s internal structure V 3.1 - Prepared by Michael Hubenthal Adapted from Braile,

Think, Write, Pair, Share

How do you know what is inside?

Page 7: Applying Occam’s razor to determine Earth’s …...Applying Occam’s razor to determine Earth’s internal structure V 3.1 - Prepared by Michael Hubenthal Adapted from Braile,

Occam’s Razor - All other things being equal, the simplest solution is the best

Based on your “evidence” what is beneath our feet?

Page 8: Applying Occam’s razor to determine Earth’s …...Applying Occam’s razor to determine Earth’s internal structure V 3.1 - Prepared by Michael Hubenthal Adapted from Braile,

Cal

vin

and H

obbes

by

Bil

l W

atte

rson

Page 9: Applying Occam’s razor to determine Earth’s …...Applying Occam’s razor to determine Earth’s internal structure V 3.1 - Prepared by Michael Hubenthal Adapted from Braile,

Could this help us test our ideas?

Page 10: Applying Occam’s razor to determine Earth’s …...Applying Occam’s razor to determine Earth’s internal structure V 3.1 - Prepared by Michael Hubenthal Adapted from Braile,

Theoreticians

Seismologist

Hypothesis: the simplest

solution to the question

“What is beneath our feet”

is a homogeneous Earth,

or one comprised entirely

of rock

Page 11: Applying Occam’s razor to determine Earth’s …...Applying Occam’s razor to determine Earth’s internal structure V 3.1 - Prepared by Michael Hubenthal Adapted from Braile,
Page 12: Applying Occam’s razor to determine Earth’s …...Applying Occam’s razor to determine Earth’s internal structure V 3.1 - Prepared by Michael Hubenthal Adapted from Braile,

Seismologist

Your task is to help test this hypothesis by analyzing a set

of seismograms from a real earthquake to determine how

long it takes for the seismic waves released from an

earthquake to arrive at various points on Earth’s surface.

Page 13: Applying Occam’s razor to determine Earth’s …...Applying Occam’s razor to determine Earth’s internal structure V 3.1 - Prepared by Michael Hubenthal Adapted from Braile,
Page 14: Applying Occam’s razor to determine Earth’s …...Applying Occam’s razor to determine Earth’s internal structure V 3.1 - Prepared by Michael Hubenthal Adapted from Braile,
Page 15: Applying Occam’s razor to determine Earth’s …...Applying Occam’s razor to determine Earth’s internal structure V 3.1 - Prepared by Michael Hubenthal Adapted from Braile,
Page 16: Applying Occam’s razor to determine Earth’s …...Applying Occam’s razor to determine Earth’s internal structure V 3.1 - Prepared by Michael Hubenthal Adapted from Braile,
Page 17: Applying Occam’s razor to determine Earth’s …...Applying Occam’s razor to determine Earth’s internal structure V 3.1 - Prepared by Michael Hubenthal Adapted from Braile,

Theoreticians

Your task is to help test this hypothesis by creating a model

of the Earth, using the known velocity of seismic waves in

rock ~ 11km/s to predict how long it should take seismic

waves to reach various distances around Earth.

Page 18: Applying Occam’s razor to determine Earth’s …...Applying Occam’s razor to determine Earth’s internal structure V 3.1 - Prepared by Michael Hubenthal Adapted from Braile,

Earth’s surface

Center of the Earth

Scale model of a homogeneous Earth

RightLeft

180o

Page 19: Applying Occam’s razor to determine Earth’s …...Applying Occam’s razor to determine Earth’s internal structure V 3.1 - Prepared by Michael Hubenthal Adapted from Braile,
Page 20: Applying Occam’s razor to determine Earth’s …...Applying Occam’s razor to determine Earth’s internal structure V 3.1 - Prepared by Michael Hubenthal Adapted from Braile,

140°

Page 21: Applying Occam’s razor to determine Earth’s …...Applying Occam’s razor to determine Earth’s internal structure V 3.1 - Prepared by Michael Hubenthal Adapted from Braile,
Page 22: Applying Occam’s razor to determine Earth’s …...Applying Occam’s razor to determine Earth’s internal structure V 3.1 - Prepared by Michael Hubenthal Adapted from Braile,
Page 23: Applying Occam’s razor to determine Earth’s …...Applying Occam’s razor to determine Earth’s internal structure V 3.1 - Prepared by Michael Hubenthal Adapted from Braile,

Seismologists

Theoreticians

Page 24: Applying Occam’s razor to determine Earth’s …...Applying Occam’s razor to determine Earth’s internal structure V 3.1 - Prepared by Michael Hubenthal Adapted from Braile,
Page 25: Applying Occam’s razor to determine Earth’s …...Applying Occam’s razor to determine Earth’s internal structure V 3.1 - Prepared by Michael Hubenthal Adapted from Braile,

How does this anomaly

in the data translate

back to Earth?

Page 26: Applying Occam’s razor to determine Earth’s …...Applying Occam’s razor to determine Earth’s internal structure V 3.1 - Prepared by Michael Hubenthal Adapted from Braile,

Measure the geocentric angle from the epicenter to the

anomaly in the data (108 degrees for example).

Use your ruler to connect the epicenter to the mark you just

drew on Earth’s surface.

Page 27: Applying Occam’s razor to determine Earth’s …...Applying Occam’s razor to determine Earth’s internal structure V 3.1 - Prepared by Michael Hubenthal Adapted from Braile,

Next, repeat this procedure to the bottom of the circle

and label the area inside the angles drawn as the “P-

wave shadow zone”

P-wave

shadow

zone

Page 28: Applying Occam’s razor to determine Earth’s …...Applying Occam’s razor to determine Earth’s internal structure V 3.1 - Prepared by Michael Hubenthal Adapted from Braile,

Answer the following questions on a separate sheet of

paper:

1. What sort of structure have we determined so far?

1. How has the seismic data helped us determine Earth’s

interior structure?

1. Look at the P-wave shadow zone. How is this “shadow

zone” similar to a person’s shadow on the ground?

Page 29: Applying Occam’s razor to determine Earth’s …...Applying Occam’s razor to determine Earth’s internal structure V 3.1 - Prepared by Michael Hubenthal Adapted from Braile,

Like a tree making a shadow, something is blocking the

energy. Can we tell what it is?

Page 30: Applying Occam’s razor to determine Earth’s …...Applying Occam’s razor to determine Earth’s internal structure V 3.1 - Prepared by Michael Hubenthal Adapted from Braile,

Cut out this shape from you model

Page 31: Applying Occam’s razor to determine Earth’s …...Applying Occam’s razor to determine Earth’s internal structure V 3.1 - Prepared by Michael Hubenthal Adapted from Braile,

Lay the cut out from Earth A on top of Earth B and trace

along its edges (indicated with orange)

Page 32: Applying Occam’s razor to determine Earth’s …...Applying Occam’s razor to determine Earth’s internal structure V 3.1 - Prepared by Michael Hubenthal Adapted from Braile,

Next, rotate the cut out and continue to trace its edges

Page 33: Applying Occam’s razor to determine Earth’s …...Applying Occam’s razor to determine Earth’s internal structure V 3.1 - Prepared by Michael Hubenthal Adapted from Braile,

Answer the following questions on a separate sheet

of paper:

4. As additional earthquake data is added, what shape is

being defined in the interior of Earth Model B?

4. What do you think this new inner circle represents?

4. Calculate the radius of the core of your Earth Model B,

and use the scale at the bottom to estimate the actual

radius of the core.

Page 34: Applying Occam’s razor to determine Earth’s …...Applying Occam’s razor to determine Earth’s internal structure V 3.1 - Prepared by Michael Hubenthal Adapted from Braile,

Current estimated radius of

outer core: ~ 3486 km

Page 35: Applying Occam’s razor to determine Earth’s …...Applying Occam’s razor to determine Earth’s internal structure V 3.1 - Prepared by Michael Hubenthal Adapted from Braile,

Answer the following questions on a separate sheet

of paper:

7. How well does you model radius of the outer core

match?

7. Where are there likely sources of error?

7. Considering the core was discovered only in 1906, is it

possible that the current model may have further

refinements?

Page 36: Applying Occam’s razor to determine Earth’s …...Applying Occam’s razor to determine Earth’s internal structure V 3.1 - Prepared by Michael Hubenthal Adapted from Braile,
Page 37: Applying Occam’s razor to determine Earth’s …...Applying Occam’s razor to determine Earth’s internal structure V 3.1 - Prepared by Michael Hubenthal Adapted from Braile,

http://www.seismo.com/msop/msop79/rec/nomen.htm

l

Page 38: Applying Occam’s razor to determine Earth’s …...Applying Occam’s razor to determine Earth’s internal structure V 3.1 - Prepared by Michael Hubenthal Adapted from Braile,