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Virtual Seismic Strain Sensors

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Virtual Seismic Strain Sensors

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    1. Virtual Seismic Strain Sensors Andrew Curtis Heather Nicolson, David Halliday, Jeannot Trampert, Brian Baptie Edinburgh Seismic Research www.geos.ed.ac.uk/seismic University of Edinburgh ECOSSE www.geos.ed.ac.uk University of Utrecht www.geo.uu.nl

    2. Rationale

    3. Results of Our Work

    4. How standard interferometry works: Define volume V surrounded by either independently-recorded impulsive or uncorrelated noise sources on the bounding surface S Sources on S radiate energy into volume V Homogenous Greens Function between any pair of points is obtained using reciprocity and the Representation Theorem ? equation below

    5. How standard interferometry works: Define volume V surrounded by either independently-recorded impulsive or uncorrelated noise sources on the bounding surface S Sources on S radiate energy into volume V Homogenous Greens Function between any pair of points is obtained using reciprocity and the Representation Theorem ? equation below

    6. How virtual sensors are constructed: Obtain Greens function between two impulsive sources if both are recorded on surrounding receivers on S ? One source acts as a Virtual Reciever If sources are represented by Moment Tensors MA and MB ? similar formula with left side

    7. How virtual sensors are constructed: Obtain Greens function between two impulsive sources if both are recorded on surrounding receivers on S ? One source acts as a Virtual Reciever If sources are represented by Moment Tensors MA and MB ? similar formula with left side If sources A and B have source time functions represented by WA and WB, we obtain the above multiplied by WB* WA (cross-correlation) ? Phase may be shifted relative to real seismometers

    9. Results of Our Work

    10. Illustration

    18. Method Results are consistent with theory Essentially back-projects data recorded on real seismometers to a source location using empirical Greens functions But also converts sensitivity-to-particle-motion at the seismometers, to sensitivity-to-displacements-or-strains-that-created-the-original-energy-source Implications Non-invasive sensors in the Earths subsurface Earthquake Virtual Sensors are concentrated directly within areas of tectonic and geological interest ? Intra-fault zone subsurface monitoring Direct sensitivity to strain seismic triggering?

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