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This research explores the construction and application of virtual seismic strain sensors, developed by Andrew Curtis, Heather Nicolson, David Halliday, Jeannot Trampert, and Brian Baptie. Utilizing standard interferometry, these sensors leverage independently recorded noise sources to enhance seismic monitoring. The results validate the theoretical framework, demonstrating consistent back-projection of real seismometer data to specific source locations. This method enables non-invasive detection of tectonic and geological activities, highlighting its importance for intra-fault zone monitoring and improved earthquake sensitivity.
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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?