Tutorial III: Multiscale Problems in Geophysics
Geophysical measurements are often of multiscale nature. For example, the resolution of seismic data are typically ~10m whereas that of borehole electric conductivity images is ~0.2 inch. Geometry and texture are also very important in geophysical data analysis. In this tutorial, I would simply introduce three examples from exploration geophysics that are highly relevant to the theme of this MGA program. The first one is signal/noise
separation in seismic data (large scale) via various "focusing" transformations (e.g., Radon and generalized Radon transforms). The second one is fracture and other anomaly detection and characterization of the borehole images (mid-small
scale) via multiple Hough transform techinque. And the third and final one is about clustering the features and attributes of measured geophysical data in high dimensional space to estimate lithology, facies, or rock types. All of the problems, I am not offering the final solutions. I will merely
introduce them to the audience and discuss the previous attacks to those
problems using the classical tools. I will encourage the audience to take up some of the problems by applying the new techniques discussed throughout this
MGA program!
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