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Solid Earth Geophysics-Geop503  Ali Oncel [email_address] Department of Earth Sciences, KFUPM Anisotropy and Attenuation Reading: Fowler Chapter 8- Section 8.1
Summary:  Previous Lecture  6 ,[object Object],[object Object],[object Object]
Reason to study Anisotropy? http://www.patentstorm.us/patents/5142501-description.html Crampin and Bush (1986) also pointed out that vertical S-wave birefringence might provide a useful tool for reservoir development.  The polarization direction of the fast S-wave in simple cases gives the direction of maximum horizontal compressive stress, a quantity much in demand by those who induce  fractures  in reservoirs by techniques such as hydraulic fracturing Available evidence, (Winterstein, 1990) including offset VSP information supports the notion that the vertical S-wave birefringence is caused by horizontal stresses, and that  the polarization direction of the fast S-wave lies in the direction of maximum horizontal compressive stress , even when subsurface structures are steeply dipping.
What is Seismic Anisotropy? Seismic waves are assumed that they propagated through an earth made up of purely isotropic, linearly elastic material.  In such material, the stresses are linearly proportional to strains via Hooke’s law: ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Reference:  Stein, 2003, pp. 177
Anisotropy Shape-preferred orientation anisotropy A shear wave can be split into two pulses, each with a  different polarity and traveling at a different speed  Anisotropic materials  cause seismic waves traveling through them  to travel  faster  or  slower  depending on their direction. Shear-wave Splitting
shear-wave splitting ,[object Object],[object Object],[object Object],[object Object],[object Object],Shear-wave splitting Time lag between fast and slow phases,   t Polarisation of fast phase,  
a axis is fastest direction This is also dominant slip direction, so olivine crystals align in direction of plastic flow OLIVINE IS  HOMEGENOUS BUT ANISOTROPIC Lattice-preferred orientation (LPO) anisotropy Babuska and Cara, 1991
East West South PROPAGATION DIRECTION V P  anomaly (km s -1 ) Central Pacific Morris et al., (1969) JGR . ANISOTROPY FROM RELATIVE PLATE MOTION Stein 2003, pp. 180
Overview: Seismic anisotropy ,[object Object],[object Object],[object Object],[object Object]
Attenuation of Seismic Waves Q= Quality Factor= 2 π  x elasticity energy stored in the wave Energy lost in one cycle or wavelength
From: Panning and Romanowicz, 2004 Radial Anisotropy Depth = 250 km
Under Pacific: transverse isotropy versus Q Anisotropy versus attenuation Central Pacific
Anisotropy See: pp. 346-348 of Fowler’s book Garnero, Ann. Rev. 2000 “ Scenario for CMB”
From: Sean Ford, 2004
From:  Christine Thomas , 2004
JOURNAL OF GEOPHYSICAL RESEARCH, VOL. 107, NO. B11, 2274,  2002 http://www.liv.ac.uk/earth/Staff/academic/TineThomas.htm For more information:
From: Sean Ford, 2004
Cause of Discontinuity in D”? ,[object Object],[object Object],[object Object],Thermal Gradients Dense Layer Phase Change From: John Hernlund,2005
Global maps of attenuation (1/Q) From: Romanowicz and Gung, 2002 ,[object Object],[object Object],[object Object],See: pp.344 of Fowler’s book, Fig.8.8 ,[object Object],[object Object],Eq. 8.21  Fowler Highly attenuative region in the Earth   Low Q-region or High Q -1  -region   increase decrease Q= Quality Factor= 2 π  x elasticity energy stored in the wave Energy lost in one cycle or wavelength

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ÖNCEL AKADEMİ: SOLID EARTH GEOPHYSICS

  • 1. Solid Earth Geophysics-Geop503 Ali Oncel [email_address] Department of Earth Sciences, KFUPM Anisotropy and Attenuation Reading: Fowler Chapter 8- Section 8.1
  • 2.
  • 3. Reason to study Anisotropy? http://www.patentstorm.us/patents/5142501-description.html Crampin and Bush (1986) also pointed out that vertical S-wave birefringence might provide a useful tool for reservoir development. The polarization direction of the fast S-wave in simple cases gives the direction of maximum horizontal compressive stress, a quantity much in demand by those who induce fractures in reservoirs by techniques such as hydraulic fracturing Available evidence, (Winterstein, 1990) including offset VSP information supports the notion that the vertical S-wave birefringence is caused by horizontal stresses, and that the polarization direction of the fast S-wave lies in the direction of maximum horizontal compressive stress , even when subsurface structures are steeply dipping.
  • 4.
  • 5. Anisotropy Shape-preferred orientation anisotropy A shear wave can be split into two pulses, each with a different polarity and traveling at a different speed Anisotropic materials cause seismic waves traveling through them to travel faster or slower depending on their direction. Shear-wave Splitting
  • 6.
  • 7. a axis is fastest direction This is also dominant slip direction, so olivine crystals align in direction of plastic flow OLIVINE IS HOMEGENOUS BUT ANISOTROPIC Lattice-preferred orientation (LPO) anisotropy Babuska and Cara, 1991
  • 8. East West South PROPAGATION DIRECTION V P anomaly (km s -1 ) Central Pacific Morris et al., (1969) JGR . ANISOTROPY FROM RELATIVE PLATE MOTION Stein 2003, pp. 180
  • 9.
  • 10. Attenuation of Seismic Waves Q= Quality Factor= 2 π x elasticity energy stored in the wave Energy lost in one cycle or wavelength
  • 11. From: Panning and Romanowicz, 2004 Radial Anisotropy Depth = 250 km
  • 12. Under Pacific: transverse isotropy versus Q Anisotropy versus attenuation Central Pacific
  • 13. Anisotropy See: pp. 346-348 of Fowler’s book Garnero, Ann. Rev. 2000 “ Scenario for CMB”
  • 15. From: Christine Thomas , 2004
  • 16. JOURNAL OF GEOPHYSICAL RESEARCH, VOL. 107, NO. B11, 2274, 2002 http://www.liv.ac.uk/earth/Staff/academic/TineThomas.htm For more information:
  • 18.
  • 19.

Hinweis der Redaktion

  1. Seismic Instruments
  2. Stein, 2003, pp. 177
  3. Stein (pp.177): Anisotropy can also occur for homogeneous materials. For example, the crystal structure of the mineral olivine is homogeneous in that it is composed of the same repeating groups of atoms, but acts anisotropically because itss acoustic properties vary in different directions relative to the crystal structure. This situation is called lattice-preferred orientation (LPO) anisotropy.
  4. Sub-crustal oceanic lithosphere shows strong anisotropy. Flow processes associated with plate spreading appear to orient olivine crystals preferentially in the spreading direction Pn head waves that sample the uppermost mantle just below the Moho show a strong azimuthal velocity dependence, with velocity highest in the spreading direction or 180° from it. This anisotropy is "frozen in" as the lithosphere ages Azimuthal variation of velocities in the upper mantle observed under the pacific ocean. What are possible causes for this anisotropy? Aligned crystals Flow processes
  5. Attenuation: For a seismic wave traveling through the Earth, amplitude loss due to several physical processes, including gradual conversion of wave energy into heat absorption (pp.546, Liner).