Quantifying fault-related uncertainty with inverse homogenization
in: Proc. 2024 RING Meeting, pages 16, ASGA
Abstract
Seismic imaging techniques such as full waveform inversion (FWI) are based on frequency bandlimited seismic data, and therefore they can only recover a smooth version of the true Earth, which is not suited for a proper geological interpretation below the decametric scale. A relation between this smooth model and a higher resolution model can be established through the homogenization technique. In the context of numerical simulations of seismic wave propagation, the homogenization is used is to replace a complex heterogeneous medium by an equivalent smooth one such that the resulting wavefield remains approximately unchanged for a given minimum wavelength. The present study addresses the problem of quantifying structural uncertainty by investigating finescale structures through the inverse homogenization, or downscaling inversion. In the proposed approach, we apply the homogenization operator in the context of the elastic FWI (HFWI) to obtain the corresponding effective medium. Assuming the HFWI solution represents the effective elastic properties of a true earth model, we carry out the downscaling inversion, with a Bayesian formulation, to recover all the finer scale models compatible with the HFWI model and a prior knowledge on the geological structures. Results of a synthetic application case on a 2-D fault model demonstrate that the inversion strategy is able to recover fault parameters such as the location, spatial extent of fault-related deformation, slope angle and maximum slip.
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BibTeX Reference
@inproceedings{ruggiero_quantifying_RM2024, abstract = {Seismic imaging techniques such as full waveform inversion (FWI) are based on frequency bandlimited seismic data, and therefore they can only recover a smooth version of the true Earth, which is not suited for a proper geological interpretation below the decametric scale. A relation between this smooth model and a higher resolution model can be established through the homogenization technique. In the context of numerical simulations of seismic wave propagation, the homogenization is used is to replace a complex heterogeneous medium by an equivalent smooth one such that the resulting wavefield remains approximately unchanged for a given minimum wavelength. The present study addresses the problem of quantifying structural uncertainty by investigating finescale structures through the inverse homogenization, or downscaling inversion. In the proposed approach, we apply the homogenization operator in the context of the elastic FWI (HFWI) to obtain the corresponding effective medium. Assuming the HFWI solution represents the effective elastic properties of a true earth model, we carry out the downscaling inversion, with a Bayesian formulation, to recover all the finer scale models compatible with the HFWI model and a prior knowledge on the geological structures. Results of a synthetic application case on a 2-D fault model demonstrate that the inversion strategy is able to recover fault parameters such as the location, spatial extent of fault-related deformation, slope angle and maximum slip.}, author = {Ruggiero, Giusi and Cupillard, Paul and Caumon, Guillaume}, booktitle = {Proc. 2024 RING Meeting}, language = {en}, pages = {16}, publisher = {ASGA}, title = {Quantifying fault-related uncertainty with inverse homogenization}, year = {2024} }