Type
ArticleAuthors
Alkhalifah, Tariq Ali
KAUST Department
Earth Science and Engineering ProgramPhysical Science and Engineering (PSE) Division
Seismic Wave Analysis Group
Date
2020-06Online Publication Date
2020-06Print Publication Date
2020-06Submitted Date
2018-05-28Permanent link to this record
http://hdl.handle.net/10754/665352
Metadata
Show full item recordAbstract
Recorded seismic data are sensitive to the Earth's elastic properties, and thus, they carry information of such properties in their waveforms. The sensitivity of such waveforms to the properties is nonlinear causing all kinds of difficulties to the inversion of such properties. Inverting directly for the components forming the wave equation, which includes the wave equation operator (or its perturbation), and the wavefield, as independent parameters enhances the convexity of the inverse problem. The optimization in this case is provided by an objective function that maximizes the data fitting and the wave equation fidelity, simultaneously. To enhance the practicality and efficiency of the optimization, I recast the velocity perturbations as secondary sources in a modified source function, and invert for the wavefield and the modified source function, as independent parameters. The optimization in this case corresponds to a linear problem. The inverted functions can be used directly to extract the velocity perturbation. Unlike gradient methods, this optimization problem is free of the Born approximation limitations in the update, including single scattering and cross talk that may arise for example in the case of multi sources. These specific features are shown for a simple synthetic example, as well as the Marmousi model.Citation
sci, global. (2020). Linear Wavefield Optimization Usinga Modified Source. Communications in Computational Physics, 28(1), 276–296. doi:10.4208/cicp.oa-2018-0144Sponsors
I thank KAUST for its support. I also thank the SWAG group for many useful discussions. I especially thank Chao Song for many fruitful exchanges. I also thank the assistant editor, Mohammad Akbar Zuberi and an anonymous reviewer for their help in reviewing the paper.Publisher
Global Science PressAdditional Links
http://global-sci.org/intro/article_detail/cicp/16837.htmlae974a485f413a2113503eed53cd6c53
10.4208/CICP.OA-2018-0144