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**Seismic Interferometry**

This is an overview of some salient results from our 2003 UTAM research. Gerard Schuster University of Utah

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**Seismic Interferometry**

Instead of using just primary arrivals, you also use the multiples for a wider & more complete view This is an overview of some salient results from our 2003 UTAM research. Gerard Schuster University of Utah

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**Overview of Seismic Interferomtery Short Course**

This is an overview of some salient results from our 2003 UTAM research. Primary reflections Multiple reflections Small vs Huge Illumination Instead of using just primary arrivals, you also use the multiples for a wider vision

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**Overview of Seismic Interferomtery Short Course**

This is an overview of some salient results from our 2003 UTAM research. Local VSP migration Redatum sources below overburden Instead of using just primary arrivals, you also use the multiples for a wider vision clearer

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**Overview of Seismic Interferomtery Short Course**

This is an overview of some salient results from our 2003 UTAM research. Data Extrapolation Instead of using just primary arrivals, you also use the multiples for a wider vision clearer

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**Overview of Seismic Interferomtery Short Course**

This is an overview of some salient results from our 2003 UTAM research. Hydrofrac location Monitoring 4D Instead of using just primary arrivals, you also use the multiples for a wider vision clearer

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**Goal: Learn Principles and Algorithms in Seismic Interferometry**

Format Mornings: Lecture 50 minutes, followed by exercise or MATLAB lab. Format Afternoon: MATLAB labs+discussion. This is an overview of some salient results from our 2003 UTAM research. Topics: Deterministic interferometry, stochastic interferometry, 3x3 classification matrix, reciprocity theorems, applications to VSP, SSP, OBS, and Xwell data.

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**What is Seismic Interferometry?**

Answer: Correlation and summation of trace pairs and stacking the result for different shot positions iwt e xB iw(t ) e xB + t + t Bz zB iw( ) e t + t Bz zB = Point Source Response with src at B and rec at B * G(B|x) G(B|x) = G(B|B) VSP => SSP B x A G(A|B) B Phase of Common Raypath Cancels This is an overview of some salient results from our 2003 UTAM research. direct reflection z Assume a VSP experiment

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**What is Seismic Interferometry?**

Answer: Correlation and summation of trace pairs and stacking the result for different shot positions iwt e xB - iw(t ) e xB + t + t Bz zB iw( ) e t + t Bz zB = x G(B|x) * Point Source Response with src at A and rec at B * = G(B|B) VSP => SSP B A G(A|B) B This is an overview of some salient results from our 2003 UTAM research. direct reflection z Phase of Common Raypath Cancels x x

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**What is Seismic Interferometry?**

Answer: Correlation and summation of trace pairs and stacking the result for different shot positions iwt e xB iw(t ) e xB + t + t Bz zB iw( ) e t + t Bz zB = x G(B|x) Point Source Response with src at A and rec at B * = G(B|B) VSP => SSP B A G(A|B) B This is an overview of some salient results from our 2003 UTAM research. direct reflection z Phase of Common Raypath Cancels x Do Not Need to Know Source Location! No Need to know Source Initiation Time! x

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**Reciprocity Correlation Equation**

well Im(G(A|B) = k dn = Im[G(B|A)] [dG(A|x)G(x|B)* - G(A|x)dG(x|B)*]dx ! Reciprocity Correlation Equation 2D Reflection Data x = G(A|B) G(x|B)* G(x|A) k VSP VSP SSP A B B A Old Multiples Become New Primaries! x A Phase of Common Raypath Cancels

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**Stellar Interferometry**

stellar interferometry, a team of French astronomers has captured one of the sharpest color images ever made. They observed the star T Leporis with the European Southern Observatory's Very Large Telescope Interferometer (VLTI; Cerro Paranal, Chile), which emulates a virtual telescope about 100 meters across, and which revealed a spherical molecular shell around the aged star. Stellar Interferometry An astronomical interferometer is an array of telescopes or mirror segments acting together to probe structures with higher resolution.

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**Standard VSP vs Interferometric VSP Imaging**

Standard VSP Imaging Interferometric VSP Imaging This is an overview of some salient results from our 2003 UTAM research. Primary reflections Multiple reflections Small vs Huge Illumination Instead of using just primary arrivals, you also use the multiples for a wider vision

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**Interferometry Applications**

1. VSP -> SSP : Small vs Huge Illumination 2. VSP -> SWP : Redatum sources below overburden Local VSP migration

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**Interferometry Applications**

3. SSP -> SSP : Interpolation 4. OBS-> OBS : Extrapolation 5. Source estimation

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**Interferometry Applications**

6. Passive Imaging: Monitoring 4D 7. Source Location Monitoring EOR

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**! x 1968 Claerbout V(z)+passive 1980s**

SELECTIVE HISTORY SEISMIC INTERFEROMETRY ! x ~ G(A|B) G(A|x)* G(B|x) 1968 Claerbout V(z)+passive 1980s Cole+Claerbout V(,x,y,z)+passive? 1990s Scherbaum earthquake V(z)+passive 1999 Rickett+Claerbout V(z) Helioseismolgy Daylight Imaging , passive 2001 Utah Stationary Phase Theory, SSP, and VSP Seismic Interferomtery, deterministic Wapenaar Recip. Thm. Correlation Type Shell Virtual Sources Snieder Stationary Phase Redatuming Gestoft + others Surface Wave Interferometry

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