WAVES, ORIGIN AND CHARACTERISTICS 

I.                  Why study?

  A.     Driving force behind all coastal processes
  B.    
Move sediment
  C.   
Straighten irregular shorelines

     II.                   What are waves?

                     A.    
Forms of mechanical energy                                                                  
                    B.     Transformed wind energy, e.g., the deformed still water surface of
                           the ocean

     III.                  How does wind set water in motion?

                    A.    
Wind blows across a flat surface
                    B.    
Successive air layers are slowed by frictional resistance
  
                 C.    Results in areas of low pressure (crest) and high pressure (trough)
                    D.   
Crests/troughs act as “grip” for waves to increase in size

    IV.                  Important terms for waves

                    A.    
Idealized wave – crest (high), trough (low)
                    B.    
Wavelength (L)
                    C.   
Wave height : representative height (H3); significant wave height; H3
                          in Atlantic is 2 m

                    D.   
Wave period – (T) in seconds
                    E.    
Frequency – (1/T)
                    F.    
Wave Steepness – H/L
                    G.   
Progressive waves – waves that transmit energy along the interface
                          between two fluids of different density have particle motion that is
                          orbital in nature

                    H.    
Wave speed (meters/sec.) = L/T

     V.                    Water motion and wave movement

                    A.    
Water movement is rotational, orbit diameter is related to wave height;
                           little movement occurs below

  Length (L)/2

  B.   Deep water waves occur when water depths are > L/2; thus, they are
 a function of:
 1.      Basin depth
 2.      Wave length (period)

     VI.                Heavy duty math is used to explain the relationships between L, T and H. 
                   Simplified, fundamental equations that apply to deep water waves are:

             V = 1.56 x T       where    V = speed in meters
                                                     
T = wave period in secs.
                                                  
   L = wavelength in meters
 

VII.           Waves in shallow water; formulas are different and water movement is
  different

      A.     Particle movement is elliptical in orbits
B.     Much frictional resistance in depths < L/20
C.   
Speed calculated by:
      V=  Φg x D    or
      V=  Φ9.8 m/sec2 x D      or                                
      V=  3.1 m/sec x
ΦD        where   V= speed in meters/sec                                                          g= the acceleration of gravity                                                          D= depth

          D.    Relationship between deep water and shallow water waves is complex; 
                          generally as waves travel from deep water into shallow water

                        1.      Speed decreases
                        2.      Height increases
                        3.      Length decreases  
                        4.      Period remains the same

          E.   Note about energy and height in waves
   
                      1.      Energy in wave is proportional to square of the wave height, 
                               e.g. E = H2

   
                      2.      Doubling wave height increases energy by a factor of 4

        VIII.     Wave classification, based on period (T) and related to length (L) by

   L = 5.12 T2 (ft) or 1.56 T2 (m)

TYPE                                            PERIODS

1. ripples                                         fractions of seconds
   
   2. wind chop                                    1-4 secs.
   
   3. seas                                             5-12 secs.  
      4. swell                                            6-16 secs.
   
   5. tsunamis                                       10-20 mins.
   
   6. tides                                             12-24 hours

  Note 1-4 are wind generated, and 5-6 are impulsively generated
   
 
A.     Wind waves

         1.   Three factors influence growth of seas
              -wind speed (constancy)
              -duration
              -extent of open water over which it blows (fetch)

          2.     
Seas building to swell
              -swell waves represent decayed seas
              -uniform height and length
               -travel great distances

    B.     Impulsively generated waves – 2 types – forced and free

    Causes – earthquakes, landslides, nuclear explosions, volcanic eruptions, 
    name of wave is tsunami or seismic sea wave

    Characteristics:  L up to 150 miles; H 1’-2’ in deep water, builds in 
    shallow water; T-=1000 secs.

    Move as shallow water wave 150/20=7.5 miles, speed controlled by depth   
    1.   
Effects of tsunamis:
           
a.   Open ocean – no damage, slight rise in water surface, no 
                  damage
            b.      In coastal areas – length decreases rapidly, height increases 
                  rapidly, destruction of property/erosion                                        
C.
Waves in very shallow water

    As waves enter shallow water, they are increasingly affected by the bottom.  
    1. 
Wave refraction – bending of waves because part of wave traveling in 
        deeper water moves faster than the part in shallower water.  Result – 
        crest rotates so that it is more or less parallel (mimic) to the depth contours.
   
2. Orthognals – lines separating areas on equal wave energy.  They 
        generally converge at headlands and thus erode; they diverge in bays and 
        thus deposit.
    3. Longshore drift (result of wave refraction)

        a.     
Break
        b.     Swash (uprush)
        c. 
Backwash

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