Estimating large-scale uncertainty in the context of full-waveform inversion
Wim A. Mulder (TU Delft - Applied Geophysics and Petrophysics, Shell Global Solutions International B.V.)
BN Kuvshinov (Shell Global Solutions International B.V.)
More Info
expand_more
Other than for strictly personal use, it is not permitted to download, forward or distribute the text or part of it, without the consent of the author(s) and/or copyright holder(s), unless the work is under an open content license such as Creative Commons.
Abstract
The uncertainty of model parameters obtained by full-waveform inversion can be determined from the hessian of the least-squares error functional. Because the hessian is generally too costly to compute and too large to be stored, a segmented representation of perturbations of the reconstructed subsurface model in the form of geological units is proposed. This enables the computation of the hessian and the related covariance matrix on a larger length scale. A synthetic 2-D isotropic elastic example illustrates how conditional and marginal uncertainties can be estimated for the properties per geological unit by themselves and in relation to other units. A discussion on how the chosen length scale affects the result is included.