# 7/25 PM Presentations—Posters

## Geologic Hyperspectral Remote Sensing

**Shapiro, Ford, Capehart**Linear algebra, radiation transfer, image processing, programming

- Deriving U and V components from radial doppler [relocates?]
- Pythagorean theorum, total derivative
- low order modeling (parameter simplification), least square error
- Mean seasonal/annual temps to demonstrate e at the lapse rates same j - latitude
- derivatives, statistics, map skills
- Pressure gradients across [cyclones, hurricanes - drawn with symbols]
- derivatives, maps
- Representing atmospheric stability
- derivative, data, graphical representations
- Adiabatic temperature / rainfall
- Elevation maps, derivatives, lifting condensation
- Deriving the equation of motion from F=ma
- Total derivatives, expansion, partial derivatives
- Point measurements—geospatial statistics
- Coriolis force
- Angular velocity W = 1 rotation / 24 hours = 7.28 x 10
^{-5}s^{-1} - Fun with playground apparatus (bully skills)
- Spherical coordinates f=2 W sin j
- Scale analysis (cyclone vs. bathroom plumbing)

## True Dip vs. Apparent Dip

## Running speed of dinosaurs

## Topographic maps / level curves

- slope/gradient
- max/min
- directional derivative
- vertical exaggeration in profiles

## GW flow—Darcy's law and empirical

## Map projections

## Diagrams on poster

## Stress-Strain Relationships: Structural Geology

Context:- Rock undergoes deformation
- Kinematics and dynamics: kinematics—displacement; dynamics—forces
- Flow field
- Deformation conceptual models linked to field evidence
- Uncertainty in understanding geologic events—deep time
- GPS—how to work into geology?
- Field data for location—mapping
- Measurements of displacement—human time scale

## Intro Level:

### Rates of population growth

- Rates of resource use
- Exponential functions
- Radiometric decay
- Residence time
- Rates and volumes
- Slopes of surfaces
- Understanding constant parameters
- Diffusion equation (heat, chem, water)
- Independent variable, dependent variable, interpreting derivatives as rates of change
- Histogram
- Calculation of fertilizer requirements

Algebra - Astronomy—dispersion of light
- Inverse square law, proportionality

## Upper Level:

### Vectors

- Resolving vectors into 2 components (hydrology, gradient, slope stability)
- Solutions to differential equations
- analytical
- graphical
- boundary conditions

- Spatial statistics
- Predicting using numerical models

## Erosion and Deposition rates: e.g. Colorado River/Grand Canyon, Lake Mead/Hoover Dam

## Size of Tectonic Plates through time as a function of plate boundary processes

## Geologic time scale and other scaling issues

## Climate Change

## Predicting 'catastrophic' events: e.g. floods, earthquakes, volcanic eruptions

## Physical Geology:

### Graph reading skills

- Rate/slope calculations
- Unit conversions—working with units
- Significant digits/figures
- Uncertainty (limitations)

## Mineralogy:

### Optic theory—Snell's Law

- Refractive index calculation
- Angular relationships
- Specific gravity calculations
- Balancing chemical equations
- Mole proportion calculations
- Geometric relationships
- Qualitative geometry in crystallography
- Miller indicies

## Petrology:

### Changes in slope—Harker variation diagrams

- Semi-quantitative relationship of thermal composition to whole rock composition
- Intro to thermodynamics
- Phase equilibrium
- Ternary graphs

## Periodicity in Geologic phenomena

- tide tables
- sea level changes
- summaries of sinusoids: |A|, w, f
- varies
- heat flow evidence for mantle convection (spatial periodicity)
- land forms in compressional terrain
- common statistical distributions observed in geologic phenomena
- log-normal - poisson - 1/f

## Ideas for Quantitative Geoscience Applications

- Morphometric Analysis of fossils
- compare consistent feature for growth and population studies, ex.: length/width
- Seismic Modeling—Ray Dath Analysis (see diagram on poster)
- Earth's circumfrance using stick and shadow ratio at different latitudes
- Use fluid mechanics to find bulge at equator
- Locating Earth's core based on seismic evidence

### Slope stability

Vectors and gradients

Radioactive decay

Exponential functions (DE)

Density of crust, mantle, core

Volume of sphere

Groundwater flow net

Gradients 3D

Gravity anomalies

Manipulating equations, inverse square law

Basin subsidence

Lines; smoothing piecewise function

Porosity of RX

Ratios; regression

Groundwater containment

Contours and level curves

Modeling

- Estimating the amount of shadow an addition to a house would add to a neighbor's lawn
- Analyzing flood information related to time and discharge
- Analyzing sediment size based on water velocity
- Predicting flood crests based on rainfall and characteristics of water basins
- Estimating erosion from sediment removed based on area covered and frequency of storms
- Predicting what will happen to an ice shelf by looking at the temperature gradient vertically through the shelf.
- Predicting how high people will bounce on a trampoline on different plants