OCEANS IN MOTION second part of chap. 1 16-31 OCEANS IN MOTION waves , tides, and currents The Oceans Store 1000x More Heat Than the Atmosphere The Oceans Transport Heat Vertically and Horizontally, from Low Latitudes to High Net radiative gain Net radiative loss Net radiative loss Winds wave breaking tidal mixing (breaking internal waves) Surface Currents Deep Flow Ocean Waves Wave Impacts Damage to Oil Industry in 2005 from Hurricanes Katrina and Rita • Oil Platforms: – 3050 of 4000 in direct path – 113 Destroyed – 53 Damaged • Oil Pipelines: – 457 Damaged, including 101 large diameter pipelines • Oil / chemical spills: – – – – 1 barrel or greater: 146 50 barrels or greater: 37 1000 barrels or greater: 6 No significant coastal or wildlife impacts noted Thunder Horse – 59,500 tons World’s Largest Oil Platform USCG Photo from July 2005 after evacuation for Hurricane Dennis Source: Minerals Management Service Press Release 1 May 06 Wave Impacts Wind Waves How high will the seas get? • • • • Fetch – Over what area is the wind working? Duration – How long has the wind been blowing? Wind Speed – How fast is the wind blowing? Fully Developed Sea – This is as high as the waves will get for a given fetch, duration, and wind speed – Due to losses in breaking waves, sea spray, and white caps, no further energy goes into wave generation Wind Waves From Seas to Swell I. WAVES write this down • A. Characteristics • do not move much mass but are propagated through the water, • " notice how a floating object seems to bob up and down as the wave passes by" • see diagram of length, period and velocity • primarily wind driven, Physical Traits Wave Anatomy (draw this) Wave Height: H Water Depth: h (don’t confuse h and H) Physical Traits Period – How much time between each crest? Frequency – How many crests pass each second? Physical Traits Particle Motion in a Deep Water Wave L - At the surface, orbital diameter equals the wave height H. - Orbital diameter decreases with depth - At a depth of L/2, motion is negligible H Animation from: Dan Russell, Ph.D., Associate Professor of Applied Physics at Kettering University in Flint, MI http://www.kettering.edu/~drussell/Demos/waves/wavemotion.html http://www.kettering.edu/~drussell/Demos/waves-intro/waves-intro.html Storm south of New Zealand on 9 July 2004 generates swell which propagates to North America in 12 days http://esamultimedia.esa.int//images/EarthObservation/2007-05-15_wave_tracking_2004/pacific_20040709_20040721.gif Animation of observed swell generated by a storm south of New Zealand on 9 July 2004 propagating across the Pacific Ocean. Color depicts the wavelength of the waves tracked by the Envisat ASAR Wave mode, with red being the longest. Long period swell reaches Alaska 12 days later. A similar case was observed in 1963 by Dr. Walter Munk and his colleagues during the “Waves Across the Pacific” experiment. Credits: IFREMER BOOST Technologies Mathematical Traits Wave Interference Two progressive waves Animation from: Dan Russell, Ph.D., Associate Professor of Applied Physics at Kettering University in Flint, MI Two sinusoidal waves traveling in the same direction. The phase difference between the waves varies with time, and the effects of both constructive and destructive interference may be seen. The net surface displacement is simply the sum of the individual wave displacements. Rogue Waves ??? (unrealistic) 72 ft Rogue Waves Simulation of wave encountered by the German cargo ship München, lost at sea on 12 Dec 78. Wreckage indicated possibility of a 20m wave. Rogue Waves • 10-25m wave height – Much larger than surrounding waves (more than twice the significant wave height) • Physics of wave formation is an area of active research – Energy transfer from smaller waves to one or more large waves – Wave-current interaction – Wave superposition • Appear to be more frequent than linear wave theory statistics predict – Recent study of satellite data: on any given day, 3 rogue waves exist somewhere on earth • Force of 100 metric tons per m2 is possible (much greater than typical ship design strength of 15 t/m2) • Myth: 200 ships lost over past 20 years due to rogues Rogue Waves This rare photo of a rogue wave was taken by first mate Philippe Lijour aboard the supertanker Esso Languedoc, during a storm off Durban in South Africa in 1980. The mast seen starboard in the photo stands 25 metres above mean sea level. The wave approached the ship from behind before breaking over the deck, but in this case caused only minor damage. The mean wave height at the time was between 5-10 metres. Rogue waves are most common in the Agulhas current off the east coast of South Africa, with numerous well documented cases of extreme individual waves, including some striking photographs of damaged ships. Here is shown bow damage received by Norwegian tanker Wilstar in 1974: the combination of pitch motion and a steep incoming wave can cause excessive local structural damage. One of the aims of rogue wave research is to recommend changes in ship design to make them less vulnerable in future. Bay of Fundy • Approximately 270 km long and 31 km wide, avg depth is 60m • Natural period is nearly resonant with the semidiurnal tide • Tidal range is 16m in the Minas Basin, near the head of the bay • By comparison, the tidal range along the nearby Atlantic coast of Nova Scotia is only 1.5-2.5m. B. Shape change (write this) • 1. as wave approaches shore there is a shape change fig. 1-13 • If depth is less than 1/2 wavelength, the wave crest will BREAK on shore • 2. Wave character, force, are determined by shore line composition, seasons and substrate. • (Bays, estuaries, rocky shore and sandy beach) all experience different types of waves Wave Shoaling Types of Breakers Tidal Modulation of Surf Zone For a given wave height, bottom depth determines where the waves break. For a given wave steepness, bottom slope determines how they break. C. Types • add drawing 1. spilling breaker- gently sloping bottom • 2. plunging breaker- steeply sloping bottom • 3. surging breaker- no break because of depth Wave Shoaling Spilling breakers distribute their energy across a broad surf zone Wave Shoaling Steep, plunging breakers are the archetypical breaker. From photo by Jeff Devine. Surfing 100 Miles Offshore 35 mph Cortes Bank 60 ft http://video.google.com/videoplay?docid=1041053573910778617&q=surfing Wave Shoaling favorable swell direction San Clemente Island Cortes Bank Elevation in Meters D. Tsunamiseismic shock generated wave caused by sea floor disturbance (volcanoes, earthquake, landslide) 500 mph. No effect in the deep ocean but a DRAMATIC effect on the shore. 100 ft. waves are possible 17 July 2006 Indonesian Tsunami: 9.0 Earthquake 26 Dec 2004 500+ Killed, 35,000 Displaced Kalimantan Sumatra Jakarta Java 7.7 Earthquake 17 July 2006 http://earthquake.usgs.gov/eqcenter/recenteqsww/ Tsunamis c = (gh)1/2 Since h / L < 1/20, it travels as a shallow water wave! Tsunamis Anatomy of a Shoaling Tsunami Tsunamis Tsunami Damage is Related to the Slope of the Coastal Sea Floor http://www.washingtonpost.com/wp-dyn/articles/A54530-2005Jan6.html Tsunamis 26 December, 2004 http://www.meted.ucar.edu/marine/mod3_wlc_propdis/tsunami_Dec2004.htm Crest of Tsunami Approaching on the Horizon Hat Ray Lai Beach Krabi, Thailand 26 December, 2004 At least 200 people were killed in this area. http://www.timesonline.co.uk/article/0,,18690-1423373,00.html This family of Swedish tourists survived the tsunami after being washed ashore by the surging waters. Karin Svard clung to a palm tree and later found her family on higher ground. Tsunamis Tsunami Warning Systems http://nctr.pmel.noaa.gov/Dart/Jpg/DART-II_05x.swf Wave Classification Wind Waves Physical Traits Mathematical Traits Rogue Waves Seiches Wave Shoaling Tsunamis Internal Waves Internal Waves Particle Motions in Internal Waves http://www.es.flinders.edu.au/~mattom/IntroOc/lecture10.html (Fig. 7) Courtesy of Matthias Tomczak Yellow dots: Water particles in the middle of the water column move up and down, but do not move horizontally, as the wave passes through. Magenta dots at the bottom: Particles oscillate horizontally as the wave passes. At a given location, particles at the top and bottom of the water column move in opposite directions. Groups of magenta dots: Areas of convergence and divergence follow the wave. Convergence occurs where the respective layer is thickest, while divergence occurs where the layers are thinnest. The Great Wave off Kanagawa Katsushika Hokusai (1760-1849)