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Center for Wave Phenomena Department of Geophysics Colorado School of Mines Golden, Colorado

Center for Wave Phenomena Department of Geophysics Colorado School of Mines Golden, Colorado. CWP Faculty. Ilya Tsvankin. Ilya Tsvankin. Roel Snieder. Dave Hale. Paul Sava. Norm Bleistein. Ken Larner. “We are committed to quality education.”. What do we offer?. Full financial support

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Center for Wave Phenomena Department of Geophysics Colorado School of Mines Golden, Colorado

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  1. Center for Wave Phenomena Department of GeophysicsColorado School of MinesGolden, Colorado

  2. CWP Faculty Ilya Tsvankin Ilya Tsvankin Roel Snieder Dave Hale Paul Sava Norm Bleistein Ken Larner “We are committed to quality education.”

  3. What do we offer? • Full financial support • Diverse and enthusiastic faculty • State-of-the-art research • Industry contacts and internships

  4. Need more Information? Prof. Ilya Tsvankinilya@dix.mines.edu Prof. Roel Sniederrsnieder@mines.edu www.cwp.mines.edu Center for Wave PhenomenaColorado School of MinesGolden, CO 80401

  5. Seismic interferometry:Who needs a seismic source? Roel Snieder email rsnieder@mines.edu

  6. Problem with sub-salt imaging salt reservoir

  7. What if we had virtual sources below the salt? salt reservoir

  8. Response to random sources

  9. Response to random sources Correlation:

  10. Very Long Baseline Interferometry http://www.lupus.gsfc.nasa.gov/brochure/bintro.html

  11. Distance between USA and Germany http://www.lupus.gsfc.nasa.gov/brochure/btoday2.html

  12. 1D example

  13. Cross-correlation • sum of causal and acausal response • uncorrelated left- and rightgoing waves

  14. Need to extend this to include: • heterogeneous media • - more space dimensions

  15. Derivation based on normal-modes (Lobkis and Weaver, JASA, 110, 3011-3017, 2001)

  16. Displacement response Heaviside function

  17. Velocity response

  18. Uncorrelated excitation

  19. Correlation

  20. Correlation as sum over modes

  21. For uncorrelated modes

  22. For uncorrelated modes

  23. Correlation Green’s function

  24. Correlation and Green’s function • sum of causal and acausal Green’s function • holds for arbitrary heterogeneity

  25. (Weaver and Lobkis, Ultrasonics, 40, 435-439, 2002)

  26. (Weaver and Lobkis, Ultrasonics, 40, 435-439, 2002)

  27. Raindrop model • Sources can be: • real sources • secondary sources (scatterers)

  28. Extract response by correlation Correlation:

  29. Non-stationary source point

  30. Non-stationary source point

  31. Stationary source point

  32. Stationary source point

  33. Stationary phase regions “anti-Fresnel zones”

  34. Stationary phase integration (Snieder, Phys. Rev. E, 69, 046610, 2004)

  35. Four types of averaging

  36. Computing synthetic seismograms (Van Manen et al., Phys. Rev. Lett., 94, 164301,2005)

  37. Field example of virtual sources complicated overburden reservoir (Bakulin and Calvert, SEG expanded abstracts, 2477-2480, 2004)

  38. Peace River 4D VSP Component used, along-the-well (450)

  39. Image from virtual sources top bottom

  40. Virtual source Surface

  41. Surface waves (Campillo and Paul, Science, 299, 547-549, 2003)

  42. correlation Green’s tensor Z/Z Z/R Z/T

  43. Surface wave Green’s function (Snieder, Phys. Rev. E, 69, 046610, 2004)

  44. Seismic interferometry in Millikan Library (Snieder and Safak, Bull. Seismol. Soc. Am., 96, 586-598, 2006)

  45. Deconvolution with top floor

  46. Deconvolution with bottom floor

  47. normal modes traveling waves

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