Mathematics – Probability
Scientific paper
Aug 2007
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007georl..3416315m&link_type=abstract
Geophysical Research Letters, Volume 34, Issue 16, CiteID L16315
Mathematics
Probability
1
Structural Geology: Folds And Folding, Structural Geology: Fractures And Faults, Structural Geology: Mechanics, Theory, And Modeling
Scientific paper
We used Airborne Laser Swath Mapping (ALSM) data to define the geometry of strata in Raplee Ridge in southeastern Utah that were likely deformed by slip on an underlying fault. The fold geometry was used to infer the fault geometry and loading responsible for the folding using the Boundary Element Model, Poly3D. Monte Carlo Markov-Chain (MCMC) methods created probability density functions (pdfs) that reveal the most likely fault geometry and loading conditions and their uncertainties. Despite the restrictive assumptions of Poly3D, in which body deformations occur from slip on displacement discontinuities in a homogeneous linear-elastic half-space, the strata deflections are matched remarkably well, and the resulting inferences of fault geometry and stress field appear reasonable. We propose that similar methods may be used with models that include more complicated rheologies and heterogeneous and anisotropic material properties to estimate fault geometries and loading conditions where only deflection of strata record these parameters.
Hilley George E.
Mynatt I.
Pollard David
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