Statistics – Computation
Scientific paper
May 2008
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008georl..3509301w&link_type=abstract
Geophysical Research Letters, Volume 35, Issue 9, CiteID L09301
Statistics
Computation
12
Computational Geophysics: Data Analysis: Algorithms And Implementation, Mathematical Geophysics: Inverse Theory, Mathematical Geophysics: Uncertainty Quantification (1873), Seismology: Surface Waves And Free Oscillations
Scientific paper
The Neighborhood Algorithm (NA) is a popular direct search inversion technique. For dispersion curve inversion, physical conditions between parameters V s and V p (linked by Poisson's ratio) may limit the parameter space with complex boundaries. Other conditions may come from prior information about the geological structure. Irregular limits are not natively handled by classical search algorithms. In this paper, we extend the NA formulation to such parameter spaces. For problems affected by non-uniqueness, the ideal solution is made of the ensemble of all models that equally fits the data and prior information. Hence, a powerful exploration tool is required. Exploiting the properties of the Voronoi cells, we show that a dynamic scaling of the parameters during the convergence to the solutions drastically improves the exploration.
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