Controlled Source Seismology

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Presentation transcript:

Controlled Source Seismology Teaching Contemporary Mathematics Conference 2017 Dan Teague teague@ncssm.edu

https://www. youtube. com/watch https://www.youtube.com/watch?v=lRsAO7Y2k60&list=PL369AB2240FF8D16B&index=1

What Makes This Work?

Speed Vibrations Travel Depends on the medium and depth Sound travels 300 m/sec in air and 1450 m/sec in water Faster in more compact and dense material In shale, sound travels around 2300 m/sec near the earth’s surface and around 4700 m/sec at a depth of 1800 meters.

Basic Simplifying Assumptions Each layer is of uniform thickness composed on a single material of constant density horizontal boundaries Sound travels at a constant velocity throughout each layer Direct and Refracted wave heads can be distinguished from each other Only two layers involved

How long does it take for the Direct wave to be detected How long does it take for the Direct wave to be detected? So, we know the velocity on the upper layer, which means we have some information about Layer 1.

How long does it take for the Reflected wave to be detected?

How long does it take for the Refracted wave to be detected How long does it take for the Refracted wave to be detected? This is now a trig problem.

?

What about 𝜃?

Collect the Data

Basic Simplifying Assumptions Each layer is of uniform thickness composed on a single material of constant density horizontal boundaries Sound travels at a constant velocity throughout each layer Direct and Refracted wave heads can be distinguished from each other Only two layers involved

Controlled Source Seismology Teaching Contemporary Mathematics Conference 2017 Dan Teague teague@ncssm.edu