Incorporating known petrophysical model in the seismic full-waveform inversion using the Gramian constraint

M. Malovichko, N. Khokhlov, N. Yavich, M. S. Zhdanov

    Research output: Contribution to journalArticlepeer-review

    9 Citations (Scopus)


    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.

    Original languageEnglish
    Pages (from-to)1361-1378
    Number of pages18
    JournalGeophysical Prospecting
    Issue number4
    Publication statusPublished - 1 May 2020


    • Electromagnetics
    • Full-waveform inversion
    • Gramian constraints
    • Joint inversion
    • Seismics


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