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Incorporating known petrophysical model in the seismic full-waveform inversion using the Gramian constraint |
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| Authors: | M Malovichko N Khokhlov N Yavich M S Zhdanov |
| Institution: | 1. CDISE, Skolkovo Institute of Science and Technology, Moscow, Russia;2. Moscow Institute of Physics and Technology, Dolgoprudny, Russia;3. CDISE, Skolkovo Institute of Science and Technology, Moscow, Russia
Moscow Institute of Physics and Technology, Dolgoprudny, Russia;4. University of Utah, Salt Lake City, Utah, USA TechnoImaging, Salt Lake City, Utah, USA Moscow Institute of Physics and Technology, Dolgoprudny, Russia |
| Abstract: | In this paper, we develop a general approach to integrating petrophysical models in three-dimensional seismic full-waveform inversion based on the Gramian constraints. In the framework of this approach, we present an example of the frequency-domain P-wave velocity inversion guided by an electrical conductivity model. In order to introduce a coupling between the two models, we minimize the corresponding Gramian functional, which is included in the Tikhonov parametric functional. We demonstrate that in the case of a single-physics inversion guided by a model of different physical type, the general expressions of the Gramian functional and its gradients become simple and easy to program. We also prove that the Gramian functional has a non-negative quadratic form, so it can be easily incorporated in a standard gradient-based minimization scheme. The developed new approach of seismic inversion guided by the known petrophysical model has been validated by three-dimensional inversion of synthetic seismic data generated for a realistic three-dimensional model of the subsurface. |
| Keywords: | Full-waveform inversion Joint inversion Electromagnetics Seismics Gramian constraints |