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dc.contributor.authorXue, Z.en_US
dc.contributor.authorZhu, Hejunen_US
dc.contributor.authorFomel, S.en_US
dc.description.abstractBecause of inaccurate, incomplete, and inconsistent waveform records, full-waveform inversion (FWI) in the framework of a local optimization approach may not have a unique solution, and thus it remains an ill-posed inverse problem. To improve the robustness of FWI, we have developed a new model regularization approach that enforced the sparsity of solutions in the seislet domain. The construction of seislet basis functions requires structural information that can be estimated iteratively from migration images.We implement FWI with seislet regularization using nonlinear shaping regularization and impose sparseness by applying soft thresholding on the updated model in the seislet domain at each iteration of the data-fitting process. The main extra computational cost of the method relative to standard FWI is the cost of applying forward and inverse seislet transforms at each iteration. This cost is almost negligible compared with the cost of solving wave equations. Numerical tests using the synthetic Marmousi model demonstrate that seislet regularization can greatly improve the robustness of FWI by recovering high-resolution velocity models, particularly in the presence of strong crosstalk artifacts from simultaneous sources or strong random noise in the data. © The Authors. Published by the Society of Exploration Geophysicists.en_US
dc.publisherSociety of Exploration Geophysicistsen_US
dc.rightsCC BY 4.0 (Attribution)en_US
dc.rights©2017 The Authorsen_US
dc.subjectIterative methods (Mathematics)en_US
dc.subjectWave equationen_US
dc.subjectHigh resolution velocityen_US
dc.subjectInverse problems (Differential equations)en_US
dc.subjectWave equationen_US
dc.subjectVelocity profileen_US
dc.titleFull-Waveform Inversion Using Seislet Regularizationen_US
dc.description.departmentSchool of Natural Sciences and Mathematicsen_US
dc.identifier.bibliographicCitationXue, Z., H. Zhu, and S. Fomel. 2017. "Full-waveform inversion using seislet regularization." Geophysics 82(5)en_US
dc.contributor.utdAuthorZhu, Hejunen_US
dc.contributor.ORCID0000-0002-7452-075X (Zhu, H)en_US

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