An integrated approach to determine parameters of a 3D volcano model by using InSAR data with metamodel technique

In this paper, an integrated approach is presented to determine the suitable parameters of a magma-filled dyke, which causes observable deformation at the ground surface. By this approach, the finite element method (FEM) and metamodel techniques are combined. FEM is used to establish the numerical model of the dyke and to produce the data required to identify metamodel parameters. Parameter identification problems are also known as parameter estimation or inverse problems. The metamodel technique is employed to make the whole procedure efficient in the identification phase. The identification approach is carried out by a systematic routine based on particle swarm optimization (PSO) algorithm. The approach is tested with synthetic data generated by analytic models. Moreover, it has been also applied to Stromboli Volcano (Italy) as an example, and the ground deformation data is acquired by using interferometry SAR technique. With the approach, the parameters can be successfully estimated with acceptable degree of accuracy. The results also indicate that only one kind of geophysical data are not sufficient for solving such a complex problem.

[1]  Alessandro Tibaldi,et al.  Physical and mechanical properties of rock masses at Stromboli: a dataset for volcano instability evaluation , 2005 .

[2]  Michael N. Vrahatis,et al.  Recent approaches to global optimization problems through Particle Swarm Optimization , 2002, Natural Computing.

[3]  Libero Bertucco,et al.  A neural approach to the integrated inversion of geophysical data of different types , 2001, IEEE Trans. Geosci. Remote. Sens..

[4]  Daniel Dzurisin,et al.  Volcano deformation : geodetic monitoring techniques , 2007 .

[5]  N. Casagli,et al.  Deformation of Stromboli Volcano (Italy) during the 2007 eruption revealed by radar interferometry, numerical modelling and structural geological field data , 2009 .

[6]  Y. Okada Surface deformation due to shear and tensile faults in a half-space , 1985 .

[7]  Clifford H. Thurber,et al.  Parameter estimation and inverse problems , 2005 .

[8]  A. Parizzi,et al.  Ground deformation measurement with radar interferometry in Exupéry , 2008, 2008 Second Workshop on Use of Remote Sensing Techniques for Monitoring Volcanoes and Seismogenic Areas.

[9]  G. Wadge,et al.  An accurate and efficient method for including the effects of topography in three‐dimensional elastic models of ground deformation with applications to radar interferometry , 2000 .

[10]  Andrea Manconi,et al.  Effects of mechanical layering on volcano deformation , 2007 .

[11]  Jack P. C. Kleijnen,et al.  Kriging Metamodeling in Simulation: A Review , 2007, Eur. J. Oper. Res..

[12]  Richard J. Beckman,et al.  A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output From a Computer Code , 2000, Technometrics.