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Introduction to Receiver Functions

Introduction to Receiver Functions. Definition of a Receiver Function Slant Stacking Modeling of Receiver Functions S-wave Receiver Functions. LQ. LR. Body Waves P and S waves Particle Motion. Body Waves: Polarization. P, SV, and SH :. Seismic Body Waves. Receiver Functions.

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Introduction to Receiver Functions

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  1. Introduction to Receiver Functions • Definition of a Receiver Function • Slant Stacking • Modeling of Receiver Functions • S-wave Receiver Functions

  2. LQ LR

  3. Body WavesP and S waves Particle Motion

  4. Body Waves: Polarization P, SV, and SH :

  5. Seismic Body Waves

  6. Receiver Functions

  7. Fundamental Assumptions • Plane Wave Approximation • The PS is primarily recorded on the radial (the vertical component is negligible) • These assumptions lead to the result that the receiver function *only* includes P-to-S converted energy

  8. PS-wave P-wave What factors influence r0/z0?

  9. Isolating Mode Conversions

  10. Methods of Deconvoltuion • Spectral Division: water level technique (Burdick and Langston, 1978) • Stacked Time Domain Deconvolution (Baker et al., 1996) • Individual Iterative Time Domain Deconvolution (Liggoria and Ammon, 1999)

  11. WATER-LEVEL DECONVOLUTION • > water-level deconvolution introduced by Clayton & Wiggins • > for small c approaches deconvolution, large c approaches scaled cross-correlation • > similar to damped least squares solution

  12. Time Domain CONVOLUTIONAL MODEL • observed displacement seismogram • effective source (includes source-side scattering) • Green’s function (receiver side response to an impulsive plane wave with horizontal slowness )

  13. PS-phase Move-out:

  14. Crustal Multiples:

  15. P S PPP PPS PSS P PS SCATTERING GEOMETRY • > consider plane P wave incident from below • > receiver side scattering includes forward and back scattering, P and S • > legs ending in P and S isolated through modal decomposition

  16. Slant Stacking

  17. Synthetic Receiver Functions:

  18. LEAST-SQUARES INVERSION • > receiver function inversion cast in standard inverse theory framework • > less expensive than MC/DS methods and makes less stringent demands on data than inverse scattering methods • > data insufficiency compensated for by regularization (e.g. damping) • > like MC/DS methods LS involves model matching so there is no formal requirement that data are delivered as Green’s functions (e.g. receiver function is adequate); only a forward modelling engine is strictly required

  19. Receiver Functions

  20. Receiver Function Footprints 40 km Interface 15 km Interface

  21. Migrating Receiver Functions

  22. ASCENT P-wave Receiver Functions

  23. S wave Receiver Functions

  24. S Receiver Functions From Farra and Vinnik, 2000

  25. Comparisons with P Receiver Functions

  26. Migrated S-wave Receiver Functions Angus et al., 2005

  27. Han et al., 2010: T43A-2158

  28. For Next Time:Mike Pasyanos:Surface Wave Dispersion

  29. SIMULTANEOUS DECONVOLUTION • > when large numbers of seismograms representing a single receiver/Green’s function are available, perform simultaneous, least-squares deconvolution • > advantageous due to fact that smaller sum of spectra in denominator reduce likelihood of spectral zeros allowing for smaller values of water level parameter to be used • > Gurrola et al, 1995, GJI, 120, 537-543

  30. Background: Geodynamic models of Tibetan plateau [Yin and Harrison, 2000] [Tapponnier et al., 2001] [Fu et al., 2008] [Willett and Beaumont, 1994] [Kind et al., 2002] Unknown deep structure Mainly north-south profiles

  31. [Zhao et al., 2010] [Kumar et al., 2006]

  32. Migrated S-wave Receiver Functions

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