15 Nov 2022
15 Nov 2022
Status: this preprint is open for discussion.

Gravity Inversion Method to Produce Compact and Sharp Images Using L0-norm Constraint with Auto-adaptive Regularization and Combined Stopping Criteria

Mesay Geletu Gebre1 and Elias Lewi2 Mesay Geletu Gebre and Elias Lewi
  • 1Wolkite University, College of Natural and Computational Science, P.O.Box 07, Wolkite, ETHIOPIA
  • 2Addis Ababa University, Institute of Geophysics, Space Science and Astronomy, Addis Ababa, ETHIOPIA

Abstract. We present a gravity inversion method that can produce compact and sharp images, to assist the modeling of non-smooth geologic features. The proposed iterative inversion approach makes use of L0-norm stabilizing functional, hard, and physical parameter inequality constraints, and depth weighting function. The method incorporates an auto-adaptive regularization technique, which automatically determines a suitable regularization parameter and error weighting function that helps to improve both the stability and convergence of the method. The auto-adaptive regularization and error weighting matrix are not dependent on the known noise level. Because of that, the method yields reasonable results even the noise level of the data is not known properly. The utilization of an effectively combined stopping rule to terminate the inversion process is another improvement that is introduced in this work. The capacity and the efficiency of the new inversion method were tested by inverting randomly chosen synthetic and measured data. The synthetic test models consist of multiple causative blocky bodies, with different geometries and density distributions that are vertically and horizontally distributed adjacent to each other. Inversion results of the synthetic data show that the developed method can recover models that adequately match the real geometry, location, and densities of the synthetic causative bodies. Furthermore, the testing of the improved approach using published real gravity data confirmed the potential, and practicality of the method in producing compact and sharp inverse images of the subsurface.

Mesay Geletu Gebre and Elias Lewi

Status: open (until 27 Dec 2022)

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Mesay Geletu Gebre and Elias Lewi

Mesay Geletu Gebre and Elias Lewi


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Short summary
In this work, a gravity inversion method that can produce compact and sharp images is presented. Auto-adaptive regularization parameter estimation method, improved error weighting function, and combined stopping rule are the contributions incorporated into the presented inversion method. The method is tested by synthetic and real gravity data and the obtained results confirmed the potential practicality of the method.