A generalized framework for Lp-norm joint inversion of gravity and magnetic data
عنوان دوره: نوزدهمین کنفرانس ژئوفیزیک ایران
کد مقاله : 1573-NIGS
نویسندگان
1عضو هیات علمی
2دانشگاه علوم زمین ووهانگ چین
3عضو هیات علمی/ دانشگاه ایالتی آریزونا
4دانشگاه علوم زمین چین
چکیده
We present a generalized approach for Lp-norm joint inversion of gravity and magnetic data using cross-gradient constraint. With this new formulation, the well-known stabilizers based on L0, L1, and L2-norms of the model parameters and the gradient of the model parameters can be presented with a unifying approach. In addition, the necessary weighting matrices such as depth weighting and hard constraint are also incorporated into the presented joint inversion algorithm which make it possible to use priori relevant information in order to reconstruct suitable subsurface models. Here, the non-linear objective function is minimized by imposing stationary on the linear equation that results from applying linearization of the objective function about a starting model. The presented algorithm is validated for 3D synthetic models, and the results are compared with those of individual gravity and magnetic inversions.
کلیدواژه ها
Title
A generalized framework for Lp-norm joint inversion of gravity and magnetic data
Authors
Saeed Vatankhah, Shuang Liu, Rosemary Anne Renaut, Xiangyun Hu
Abstract
We present a generalized approach for Lp-norm joint inversion of gravity and magnetic data using cross-gradient constraint. With this new formulation, the well-known stabilizers based on L0, L1, and L2-norms of the model parameters and the gradient of the model parameters can be presented with a unifying approach. In addition, the necessary weighting matrices such as depth weighting and hard constraint are also incorporated into the presented joint inversion algorithm which make it possible to use priori relevant information in order to reconstruct suitable subsurface models. Here, the non-linear objective function is minimized by imposing stationary on the linear equation that results from applying linearization of the objective function about a starting model. The presented algorithm is validated for 3D synthetic models, and the results are compared with those of individual gravity and magnetic inversions.
Keywords
Potential field, Joint Inversion, Cross-Gradient, Gravity, Magnetic, Lp-norm Regularization