Notes, summaries, assignments, exams, and problems for Geology

Nature and Wildlife Terms

• Meadow – A piece of open grassland, often with wildflowers. → Prado / Claro
• River bank – The ground bordering a river. → Orilla del río / Ribera
• Willow – A tree or shrub often found near water with flexible, drooping branches. → Sauce
• Sparrow – A small, common, brownish-gray bird. → Gorrión
• Wren – A small, brown bird with a short, upright tail and a strong song. → Chochín / Reyezuelo
• Mistletoe – A plant with white berries, often used as a Christmas decoration. → Muérdago
• Dawn – The first appearance of light in the sky before sunrise; the beginning. → Amanecer

Human Actions and Sensory Descriptions

• Gather – To come together or assemble; to collect. → Reunir / Recoger
• Swoop down – To descend

Earth's Fundamental Motions

Two Primary Earth Movements

• Rotation: The spinning of Earth on its axis. Consequences: Day and night cycle, Coriolis effect.
• Revolution: The orbiting of Earth around the Sun. Consequences: Seasons, varying daylight hours.

Earth's Interconnected Spheres

The Four Spheres of Earth

• Atmosphere: The layer of gases surrounding Earth. It provides air for breathing and protects from harmful solar radiation.
• Hydrosphere: All water on Earth, including oceans, rivers, lakes, and glaciers. It plays a key role in the water cycle and supports aquatic life.
• Lithosphere: The rigid outer layer of Earth, consisting of the crust and upper mantle. It forms landmasses and ocean floors.
• Biosphere: All living organisms and their interactions with

What Are Rocks?

Rocks are solid aggregates of minerals. They are more common than individual minerals.

The Three Types of Rocks

There are three different types of rocks:

• Igneous
• Sedimentary
• Metamorphic

Igneous Rocks

Igneous rocks are formed from magma that has cooled and solidified.

Plutonic Rocks

These rocks are formed deep underground, and the cooling process is very slow. The slower the cooling process, the larger the crystals formed (e.g., granite).

Volcanic Rocks

These rocks are formed on the surface, often related to volcanoes. The cooling process is very quick, preventing the formation of visible crystals (e.g., obsidian, pumice).

Sedimentary Rocks

Sedimentary rocks are made of fragments of other rocks (sediments). They often contain fossils.

Formation

Understanding Minerals

A mineral is a naturally occurring, inorganic solid with a definite chemical composition and an ordered internal atomic structure. To be classified as a mineral, a substance must typically meet five requirements: it must be naturally occurring, inorganic, solid, have a definite chemical composition, and possess an ordered internal structure (crystalline).

Key Mineralogical Concepts

1. Isomorphism

Isomorphism occurs when different minerals have the same crystal structure but different chemical compositions. This usually happens because ions of similar size substitute for one another in the crystal lattice.

• Example: The Olivine group, where Magnesium (Mg²⁺) and Iron (Fe²⁺) can replace each other, forming a series from Forsterite

Unique Properties of Water

Water is a molecule that consists of two hydrogen atoms and one oxygen atom. Water is special because its highest density is in liquid form rather than solid form, which is the case for most substances. It is also called the “universal solvent” because of its ability to dissolve more substances than any other liquid found on Earth, due to its unique chemical composition and physical attributes.

Cohesion and adhesion are two very important water properties.

• Cohesion is the property that allows water molecules to stick to one another (e.g., a drop of water holding its shape).
• Adhesion is the property that allows water molecules to stick to another substance instead of slipping off.
• Capillary action is the movement of

1. Earth's Position in Space

   • Earth orbits the Sun at 67,000 mph, maintaining a delicate balance between gravity and velocity.
   • Life exists due to Earth's stable distance from the Sun, allowing liquid water and habitable temperatures.

2. Earth as an Energy and Matter System

   • All changes on Earth result from energy: inputs, storage, transformation, or outputs.

   • Two Primary Energy Sources:

     • Solar Energy: Drives photosynthesis, weather, and food webs.
     • Internal Earth Energy: Causes tectonic activity, earthquakes, and volcanic eruptions.

3. Solar Energy Pathways

   • Photosynthesis: Converts sunlight into chemically bonded energy (food, fossil fuels).
   • Heat Energy: Drives weather systems (e.g., hurricanes, tornadoes).

4. Energy Flow

   • Energy flows into, through, and out of Earth's

The seismic waves produced by the detonation of an explosive charge or any other system are transmitted through the Earth in the form of vibrations or waves that travel at different speeds. These speeds are influenced by several factors, including lithology, depth, porosity of the material, compaction, lithification, and fluid content, among others. Furthermore, these speeds depend on the elastic modulus and density. These parameters are essential for velocity analysis in the interpretation of seismic data. Below is a table showing the propagation speeds of seismic waves; these values specifically refer to longitudinal waves (P-waves).

A widely used mathematical framework for Gaussian plume model assumes that the concentration distribution of pollutants in cross-sections perpendicular to the wind direction follows a normal distribution in both vertical and horizontal directions. The model is applied under specific assumptions:

1. Point source emissions with low vertical velocities.
2. Emissions at temperature ($T$) equal to or slightly above ambient air.
3. Stable atmospheric conditions, at least over one-hour intervals.
4. Flat and uniform soil with little surface roughness.

Hypotheses for the Model

• Wind speed and direction: constants.
• Conditions of the parameters that characterize the dispersive properties of the atmosphere: constants.
• Soil: uniform and flat.

General Diffusion Equation

The general... Continue reading "Gaussian Plume Model: Pollutant Dispersion Fundamentals" »