Waves Oceanography Notes Anatomy of a Wave • Wave height :vertical distance between a crest and the preceding trough • Amplitude: equal to one-half the wave height (point of equilibrium surface to the crest or trough Sine Wave Characteristics Diagram of a Wave: Wavelength Basic Wave Diagram http://www.onr.navy.mil/focus/ocean/motion/waves1.htm Description of Periodic Motion Motion which repeats itself precisely can be described with the following terms: Period: the time required to complete a full cycle, T in seconds/cycle Frequency: the number of cycles per second, f in 1/seconds or Hertz (Hz) Amplitude: the maximum displacement from equilibrium A Wave Generating Forces • Sometimes waves are generated through seismic motion or rock formations (ice too) falling (like throwing a rock into the water) • There are three basic factors in generating surface waves (height)… 1. Wind speed 2. Wind duration 3. Fetch (the distance that the wind blows Wave Motion • Waves consist of orbits that are below the sea surface Deep Water Waves • These are classified as waves that have a depth that is at least one half of the wavelength Depth = Wavelength (L)/2 • Wave speed (C) = L/T or L = C*T C is equal to celerity (speed of one wave) versus v (speed of a group of waves) Wave Equations • For any type of water wave, the wave's wavelength (L), speed (C) and period (T) are related by the following relations: • L = C*T • L = 1.56T2 • C = gT/2¶ • C = 1.56 * T 1.56 is in m/s2 Shallow Water Waves A wave that enters water with a depth of less than one-twentieth (D < L/20) Shallow water wavelength and speed are controlled only by the water depth (meters) _____ C=√ g*D (g = 9.81 m/s2) Group Speed • Waves can travel in groups (speed) • Waves move as wave trains V = C/2 Breaking Waves http://oceanworld.tamu.edu/students/waves/index.html http://search.live.com/images/results.aspx?q=Tsunami+diagrams%20|%20id:AE878E4D465DAB08 43D7EEC20BDEFFB13B5905F7&form=IGRE1&p1=OneRow#focal=2e78f408dd2093b8c8087b73 6bcb8eea&furl=http%3A%2F%2Fwww.gg.uwyo.edu%2Fmedia%2Ftsunami%2Fdiagrams%2Fwave .gif Wave Breaking Diagram http://geology.wr.usgs.gov/parks/sea/wave.gif Wave Steepness For a wave to break, wave steepness is important. If the ratio of wave height to wavelength is 1:7 or more, the wave will break Surging Breakers happen on beaches where the slope is very steep. The wave does not actually break. Instead, it rolls onto the steep beach. These kinds of breakers are known for their destructive nature Plunging Breakers happen on beaches where the slope is moderately steep. This kind of wave normally curls over forming a tunnel until the wave breaks. Expert surfers love this type of wave! Spilling Breakers occur on beaches with gentle slopes. These waves break far from the shore, and the surf gently rolls over the front of the wave. http://www.onr.navy.mil/focus/ocean/motion/waves2. htm Guess The Types of Breakers Tsunami Characteristics of a Tsunami Shallow Water Wave characteristics in deep water Large Wavelengths (kms) Fast Wave Speeds Depth less than one-half of the wavelength Causes of Tsunami Seismic disturbance causing wave impulses Waves and the Shoreline • Waves enter the shoreline and can exhibit the following characteristics… Refraction Reflection Diffraction Wave Diffraction Interferences • Constructive and Destructive Constructive Destructive