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– Fluid Flow through Porous Media – a brief summary of my research Colin Clark June 5, 2013

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Page 1: a brief summary of my research - University of Arizonaime.math.arizona.edu/g-teams/Profiles/CK/Presentation.pdf · My research: Understanding how the geometry of geologic features

– Fluid Flow through Porous Media –

a brief summary of my research

Colin Clark

June 5, 2013

Page 2: a brief summary of my research - University of Arizonaime.math.arizona.edu/g-teams/Profiles/CK/Presentation.pdf · My research: Understanding how the geometry of geologic features

Let’s talk about me:

Page 3: a brief summary of my research - University of Arizonaime.math.arizona.edu/g-teams/Profiles/CK/Presentation.pdf · My research: Understanding how the geometry of geologic features

Let’s talk about me:

Page 4: a brief summary of my research - University of Arizonaime.math.arizona.edu/g-teams/Profiles/CK/Presentation.pdf · My research: Understanding how the geometry of geologic features

Let’s talk about co↵ee:

Page 5: a brief summary of my research - University of Arizonaime.math.arizona.edu/g-teams/Profiles/CK/Presentation.pdf · My research: Understanding how the geometry of geologic features

Let’s talk about co↵ee:

Page 6: a brief summary of my research - University of Arizonaime.math.arizona.edu/g-teams/Profiles/CK/Presentation.pdf · My research: Understanding how the geometry of geologic features

Using words to describe how water flows:

•No net flow into any region

•All the forces pushing and pulling = mass ⇥ acceleration

And in symbols....

• r · v = 0

• ⇢Dv

Dt= �rp+ ⇢g + µr2v � µ

kv

Page 7: a brief summary of my research - University of Arizonaime.math.arizona.edu/g-teams/Profiles/CK/Presentation.pdf · My research: Understanding how the geometry of geologic features

Three pillars of investigation:

Page 8: a brief summary of my research - University of Arizonaime.math.arizona.edu/g-teams/Profiles/CK/Presentation.pdf · My research: Understanding how the geometry of geologic features

Three pillars of investigation:

Page 9: a brief summary of my research - University of Arizonaime.math.arizona.edu/g-teams/Profiles/CK/Presentation.pdf · My research: Understanding how the geometry of geologic features

Three pillars of investigation:

Page 10: a brief summary of my research - University of Arizonaime.math.arizona.edu/g-teams/Profiles/CK/Presentation.pdf · My research: Understanding how the geometry of geologic features

Motivating my research:

Page 11: a brief summary of my research - University of Arizonaime.math.arizona.edu/g-teams/Profiles/CK/Presentation.pdf · My research: Understanding how the geometry of geologic features

My research: Understanding how the geometry of geologic features

a↵ects overall flow patterns and hydraulic properties.

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Page 12: a brief summary of my research - University of Arizonaime.math.arizona.edu/g-teams/Profiles/CK/Presentation.pdf · My research: Understanding how the geometry of geologic features

My research: Understanding how the geometry of geologic features

a↵ects overall flow patterns and hydraulic properties.

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Page 13: a brief summary of my research - University of Arizonaime.math.arizona.edu/g-teams/Profiles/CK/Presentation.pdf · My research: Understanding how the geometry of geologic features

My research: Understanding how the geometry of geologic features

a↵ects overall flow patterns and hydraulic properties.

10 20 30 40 50 60

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Page 14: a brief summary of my research - University of Arizonaime.math.arizona.edu/g-teams/Profiles/CK/Presentation.pdf · My research: Understanding how the geometry of geologic features

My research: Understanding how the geometry of geologic features

a↵ects overall flow patterns and hydraulic properties.

10 20 30 40 50 60

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Page 15: a brief summary of my research - University of Arizonaime.math.arizona.edu/g-teams/Profiles/CK/Presentation.pdf · My research: Understanding how the geometry of geologic features

My research: Understanding how the geometry of geologic features

a↵ects overall flow patterns and hydraulic properties.

10 20 30 40 50 60

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Page 16: a brief summary of my research - University of Arizonaime.math.arizona.edu/g-teams/Profiles/CK/Presentation.pdf · My research: Understanding how the geometry of geologic features

My research: Understanding how the geometry of geologic features

a↵ects overall flow patterns and hydraulic properties.

10 20 30 40 50 60

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10 20 30 40 50 60

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Page 17: a brief summary of my research - University of Arizonaime.math.arizona.edu/g-teams/Profiles/CK/Presentation.pdf · My research: Understanding how the geometry of geologic features

My research: Understanding how the geometry of geologic features

a↵ects overall flow patterns and hydraulic properties.

10 20 30 40 50 60

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10 20 30 40 50 60

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Page 18: a brief summary of my research - University of Arizonaime.math.arizona.edu/g-teams/Profiles/CK/Presentation.pdf · My research: Understanding how the geometry of geologic features

My research: Understanding how the geometry of geologic features

a↵ects overall flow patterns and hydraulic properties.

10 20 30 40 50 60

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10 20 30 40 50 60

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