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Demystifying the Equations of Sedimentary Geology

Demystifying the Equations of Sedimentary Geology. Larry Lemke Environmental Science Program Department of Geology. GOALS. Alleviate student apprehensions Build confidence Establish effective habits Refresh and review Reinforce key concepts Connections with math, physics, and chemistry.

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Demystifying the Equations of Sedimentary Geology

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  1. Demystifying the Equations of Sedimentary Geology Larry Lemke Environmental Science Program Department of Geology

  2. GOALS • Alleviate student apprehensions • Build confidence • Establish effective habits • Refresh and review • Reinforce key concepts • Connections with math, physics, and chemistry

  3. Presentation Format • Goals and Objectives • Three approaches I use • Surgical strike reviews • Unit analyses • Perturbation interrogation • Discussion: Dealing with Student Math-a-phobia • Strategies • Experiences

  4. 1. Surgical Strike Reviews What: 5 to 10-minute review of relevant math principles targeted for a specific lecture • Explain what you’re doing and why you’re doing it • Use at the beginning of class • Keep it brief – 10 minutes tops! • Stay focused – only target what you’ll actually use in the day’s lecture. • Revisit in subsequent lectures

  5. 2. Unit Analysis What: Assigning fundamental units of Mass, Length, and Time to analyze an equation • Use routinely after presenting or deriving a new equation. • Use common units to move toward generic (Mass, Length, Time) units:

  6. Unit Analysis What: Assigning fundamental units of Mass, Length, and Time to analyze an equation • Apply to derived quantities or units, such as centipoises for dynamic viscosity:

  7. 3. Perturbation Interrogation What: How does an equation change when its individual components increase or decrease? • Use in combination with Unit Analysis. • Use with simple quantities: F=ma • Works great with ratios:

  8. 3. Perturbation Interrogation One More Example Engelund & Hansen nondimensional sediment flux “What does this equation tell me?” Express coefficients as constants Shields parameter or “Sheilds Stress”

  9. 3. Perturbation Interrogation One More Example Shear stress – proportional to water depth (h) and stream gradient (S) Substituting into canceling

  10. 3. Perturbation Interrogation One More Example Substituting into: Will sediment flux increase or decrease if… …the water depth (h) increases? …the stream gradient (S) increases? …the grain diameter (D) increases?

  11. Discussion • Your experiences • Your solutions

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