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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.