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SUMMARY:Uncovering hidden scales – AI-driven\, Bayesian imaging and moni
 toring of subwavelength microstructures with finite-frequency waves - Ivan
  Vasconcelos (Universiteit Utrecht)
DTSTART:20230131T141500Z
DTEND:20230131T150000Z
UID:TALK194524@talks.cam.ac.uk
DESCRIPTION:More often than not\, important geologic processes occur at mi
 cro-scales\, e.g.\, fluid flow\, mineral-phase changes\, chemically-induce
 d alteration\, rock-frame compaction\, or even mechanical ruptures/instabi
 lities leading to large earthquakes. However\, reliably imaging material p
 roperties at such scales from remote long-wavelength information contained
  in either seismic or EM fields has long been a challenge to the geophysic
 al\, engineering and material science communities. In this talk\, we prese
 nt a general framework for the estimation of sub-wavelength material prope
 rties from long-scale waves\, building on recent advances on statistical m
 icrostructure descriptors (SMDs) within the field of material science. &nb
 sp\;In geoscience\, traditional approaches to describing material microhet
 erogeneity rely on either analytical inclusion-based models\, or in sample
 -based digital rocks: each of these having their pros and cons. Here\, we 
 by discussing the role of SMDs and more importantly &nbsp\;the so-called &
 lsquo\;Reconstruction&rsquo\; problem\, to statistically describe microhet
 erogeneous geo-materials in a manner that is capable of generalizing compl
 ex geometrical information hidden in microstructures\, while also retainin
 g realism and sample fidelity. To these advances in material descriptions 
 with imaging\, we rely on wave-equation-based Strong Contrast Expansions (
 SCEs) to predict frequency/scale-dependent effective wave properties for a
 coustic\, elastic and EM waves.&nbsp\; We briefly discuss how SMD-describe
 d microstructures affect long-wave properties &ndash\; and in particular h
 ow they not only predict frequency-dependent attenuation due to sub-wavele
 ngth scattering\, but that attenuation is particularly sensitive to micros
 tructure when compared to effective wavespeeds. When it comes to the estim
 ation of microstructure properties from wave observations\, the problem be
 comes substantially more difficult because realistic microscale parameters
  could in principle have far too many degrees of freedom than what is obse
 rvable from finite-frequency wave data. As such\, it is key that any metho
 d that aims at realistically retrieving microstructure information from lo
 ng-scale wave data accounts for uncertainty\, while also handling the high
 ly nonlinear nature of microstructure-dependent effective wave properties.
  To that end\, we combine our SMD and SCE approaches for effective wave pr
 operties with the supervised machine-learning method of Random Forests to 
 construct a Bayesian approach to infer microstructure properties from effe
 ctive wave parameters as observables. This method yields full posterior di
 stributions for microstructure parameters (e.g.\, property contrast\, volu
 me fraction\, and geometry information) from frequency-dependent observati
 ons of wave velocities and attenuation. We present several examples of inf
 erence scenarios\, showing\, for example\, that i) attenuation is key to m
 icrostructure imaging\, and ii) microgeometry information can only be reli
 ably retrieved if either contrast or volume fraction are well known a prio
 ri. We illustrate of inference approach with several examples of analytica
 l and real microstructures\, including data from a&nbsp\; laboratory compa
 ction experiment controlled by microscale CT imaging. 
LOCATION:Seminar Room 1\, Newton Institute
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