Density inversion of selected microgravity anomalies using L2-smoothing and minimum support focusing stabilizers

  • Ivan ZVARA Faculty of Natural Sciences, Comenius University, Bratislava, Slovak Republic
  • Roman PAŠTEKA Faculty of Natural Sciences, Comenius University, Bratislava, Slovak Republic
  • Roland KARCOL Faculty of Natural Sciences, Comenius University, Bratislava, Slovak Republic
Keywords: gravimetry, interpretation, inversion, regularisation, cavities

Abstract

Interpretation and inversion of microgravity anomalies belong to important tasks of near-surface geophysics, mostly in cavities detection in engineering, environmental and archaeological applications. One of the mostly used concepts of inversion in applied gravimetry is based on the approximation of the model space by means of 2D or 3D elementary sources with the aim to estimate their densities by means of the solution of a corresponding linear equation system. There were published several approaches trying to obtain correct and realistic results, which describe real parameters of the sources. In the proposed contribution we analyse the properties of two additional functionals, which describe additional properties of the searched solution – namely so-called L2-smoothing and minimum support focusing stabilizers. For the inversion itself, we have used the regularized conjugate gradient method. We have studied properties of these two stabilizers in the case of one synthetic model and one real-world dataset (microgravity data from St. Nicholas church in Trnava). Results have shown that proposed algorithm with the minimum support stabilizer can generate satisfactory model results, from which we can describe real geometry, dimensions and physical properties of interpreted cavities.

Author Biographies

Ivan ZVARA, Faculty of Natural Sciences, Comenius University, Bratislava, Slovak Republic

Department of Engineering Geology, Hydrogeology and Applied Geophysics
Ilkovičova 6
842 15 Bratislava, Slovak Republic

Roman PAŠTEKA, Faculty of Natural Sciences, Comenius University, Bratislava, Slovak Republic

Department of Engineering Geology, Hydrogeology and Applied Geophysics
Ilkovičova6
842 15 Bratislava, Slovak Republic

Roland KARCOL, Faculty of Natural Sciences, Comenius University, Bratislava, Slovak Republic

Department of Engineering Geology, Hydrogeology and Applied Geophysics
Ilkovičova 6
842 15 Bratislava, Slovak Republic

Published
2021-03-15
How to Cite
ZVARA, I., PAŠTEKA, R., & KARCOL, R. (2021). Density inversion of selected microgravity anomalies using L2-smoothing and minimum support focusing stabilizers. Contributions to Geophysics and Geodesy, 51(1), 63-81. https://doi.org/10.31577/congeo.2020.51.1.4
Section
original research papers