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Introduction to Geophysics Ali Oncel [email_address] Department of Earth Sciences KFUPM Seismic Waves (Continue)
Previous Lecture What is Seismic Wave?  Waves in a Pound  Sound Wave Analogy  What is Wave?  Wave Terminology  Wavelength and Period  Wave Speeds  Sources of Seismic Waves  Multiple Frequency Signals What is Elastic Behavior?  Ductile Deformation  Brittle Deformation  Ductile/Brittle Behavior through the Lithosphere and Asthenosphere  Elastic Constants  Bulk Modules  Shear Modules  Poisson Ratio  Typical Values of Elastic Constants for Selected Materials  Body Waves  Surface Waves
Particle Motions of Body Waves
3D Components of Waves
3D Components of P-wave 6.27
3D Components of S-wave 6.35
Types of Surface Waves
Rayleigh Waves ,[object Object],[object Object],[object Object],[object Object]
Where      are the Lamé coefficients and     is   Seismic velocities P wave velocity  α  and S wave velocity  β  depend on physical properties of medium through which they travel: Question: How    and    depend on density   ?    =  k -  = 2     E 3   ( 1 +    ) ( 1 - 2   ) V  =     =  = k + (  )      + 2    p 4/3 V  =     =   s
Elastic Coefficients and Seismic Velocities
[object Object],[object Object],Velocity and Density “Birch’s law” Crust and mantle rock observations 6km  18km  30km
Nafe-Drake Curve ,[object Object],[object Object],Cross-plotting velocity and density values of crustal rocks gives the  Nafe-Drake curve  after its discoverers. Only a few rocks such as  salt (unusually low density) and  sulphide ores (unusually high densities)  lie off the curve.
Nafe-Drake Curve L=limestone; Q=quartz; Sh=shale; Ss=sandstone. Sediments and  sedimentary rock Igneous and  metamorphic rock Figure 3.10 of Lillie, 1999, modified from Birch, 1960
Factors affecting P-wave velocity ,[object Object],[object Object],[object Object],[object Object],[object Object]
Factors affecting S-wave velocity ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Velocity-Geology Grifts and King, 1981
Maximum  amplitude   of particle motion occurs along the  90 degree  phase wave front.  Other  wave fronts correspond to positions where the  wave goes from positive to negative amplitude  (180 degree) and at the minimum amplitude (270). Amplitude Changes of Particle Motion
Raypaths thus bend (refract) as velocity changes.  Seismic energy travels along trajectories   perpendicular to  wave fronts. Initial wavefronts for compressional (P),shear  (S), and Rayleigh ( R ) waves. Changes in velocity  cause segments of wave fronts to speed up or slow down,  distorting  the wave fronts from perfect spheres. Wave Fronts and Raypaths
Seismic waves radiating from a source to one receiver. Seismic trace recording ground motion by the receiver, as a function of the travel time from the source to the receiver.  For controlled source studies (seismic refraction and reflection), the travel time is commonly plotted positive downward. Seismic Trace
[object Object],Implies that P-wave velocity is inversely proportional to density, Explain the paradox. Homework
Questions?

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ÖNCEL AKADEMİ: INTRODUCTION TO GEOPHYSICS

  • 1. Introduction to Geophysics Ali Oncel [email_address] Department of Earth Sciences KFUPM Seismic Waves (Continue)
  • 2. Previous Lecture What is Seismic Wave? Waves in a Pound Sound Wave Analogy What is Wave? Wave Terminology Wavelength and Period Wave Speeds Sources of Seismic Waves Multiple Frequency Signals What is Elastic Behavior? Ductile Deformation Brittle Deformation Ductile/Brittle Behavior through the Lithosphere and Asthenosphere Elastic Constants Bulk Modules Shear Modules Poisson Ratio Typical Values of Elastic Constants for Selected Materials Body Waves Surface Waves
  • 3. Particle Motions of Body Waves
  • 5. 3D Components of P-wave 6.27
  • 6. 3D Components of S-wave 6.35
  • 8.
  • 9. Where  are the Lamé coefficients and  is Seismic velocities P wave velocity α and S wave velocity β depend on physical properties of medium through which they travel: Question: How  and  depend on density  ?  = k - = 2   E 3 ( 1 +  ) ( 1 - 2  ) V =  = = k + ( )   + 2    p 4/3 V =  =   s
  • 10. Elastic Coefficients and Seismic Velocities
  • 11.
  • 12.
  • 13. Nafe-Drake Curve L=limestone; Q=quartz; Sh=shale; Ss=sandstone. Sediments and sedimentary rock Igneous and metamorphic rock Figure 3.10 of Lillie, 1999, modified from Birch, 1960
  • 14.
  • 15.
  • 17. Maximum amplitude of particle motion occurs along the 90 degree phase wave front. Other wave fronts correspond to positions where the wave goes from positive to negative amplitude (180 degree) and at the minimum amplitude (270). Amplitude Changes of Particle Motion
  • 18. Raypaths thus bend (refract) as velocity changes. Seismic energy travels along trajectories perpendicular to wave fronts. Initial wavefronts for compressional (P),shear (S), and Rayleigh ( R ) waves. Changes in velocity cause segments of wave fronts to speed up or slow down, distorting the wave fronts from perfect spheres. Wave Fronts and Raypaths
  • 19. Seismic waves radiating from a source to one receiver. Seismic trace recording ground motion by the receiver, as a function of the travel time from the source to the receiver. For controlled source studies (seismic refraction and reflection), the travel time is commonly plotted positive downward. Seismic Trace
  • 20.

Notas do Editor

  1. P wave:6.27, S wave=6.35 Time difference=8 minutes
  2. Examples of the essentially linear relationship between seismic velocities and density known as Birch’s law. Laboratory measurements made on crustal rocks at confining pressures of a) 0.2 GPa, b) 0.6 GPa, c) 1.0 GPa, which correspond to approximate depths of 6, 18 and 30 km, are shown. 1GPa=10**9 Pa. The pascal, a unit of pressure, is equal to one newton per square meter: 1 Pa= 1 N m**-2. A unit of pressure is still often used today is the bar: 1 Bar=10**6 dyn cm**-2.