Joint inversion of gravity and vertical gradient data based on modified structural similarity index for the structural and petrophysical consistency constraint
Sheng Liu , Xiangyun Wan , Shuanggen Jin , Bin Jia , Quan Lou , Songbai Xuan , Binbin Qin , Yiju Tang , Dali Sun
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引用次数: 2
Abstract
Joint inversion is one of the most effective methods for reducing non-uniqueness for geophysical inversion. The current joint inversion methods can be divided into the structural consistency constraint and petrophysical consistency constraint methods, which are mutually independent. Currently, there is a need for joint inversion methods that can comprehensively consider the structural consistency constraints and petrophysical consistency constraints. This paper develops the structural similarity index (SSIM) as a new structural and petrophysical consistency constraint for the joint inversion of gravity and vertical gradient data. The SSIM constraint is in the form of a fraction, which may have analytical singularities. Therefore, converting the fractional form to the subtractive form can solve the problem of analytic singularity and finally form a modified structural consistency index of the joint inversion, which enhances the stability of the SSIM constraint applied to the joint inversion. Compared to the reconstructed results from the cross-gradient inversion, the proposed method presents good performance and stability. The SSIM algorithm is a new joint inversion method for petrophysical and structural constraints. It can promote the consistency of the recovered models from the distribution and the structure of the physical property values. Then, applications to synthetic data illustrate that the algorithm proposed in this paper can well process the synthetic data and acquire good reconstructed results.
期刊介绍:
Geodesy and Geodynamics launched in October, 2010, and is a bimonthly publication. It is sponsored jointly by Institute of Seismology, China Earthquake Administration, Science Press, and another six agencies. It is an international journal with a Chinese heart. Geodesy and Geodynamics is committed to the publication of quality scientific papers in English in the fields of geodesy and geodynamics from authors around the world. Its aim is to promote a combination between Geodesy and Geodynamics, deepen the application of Geodesy in the field of Geoscience and quicken worldwide fellows'' understanding on scientific research activity in China. It mainly publishes newest research achievements in the field of Geodesy, Geodynamics, Science of Disaster and so on. Aims and Scope: new theories and methods of geodesy; new results of monitoring and studying crustal movement and deformation by using geodetic theories and methods; new ways and achievements in earthquake-prediction investigation by using geodetic theories and methods; new results of crustal movement and deformation studies by using other geologic, hydrological, and geophysical theories and methods; new results of satellite gravity measurements; new development and results of space-to-ground observation technology.