Investigating the topography effect in modeling of deformation field of CampiFlegrei volcano using the method of fundamental solution

Considering the importance of predicting volcano eruption and the large number of volcanic peaks across the world, having enough researches in this field is vital. Based on geodetic researches, surface deformation of the earth in the form of uplift or subsidence in the volcanic region, is an indicator of the  magma's movement respectively towards the crater or the exit from the tank around. In this study, using the new method of the fundamental solution, the determination of the deformation field of the Campi Flegrei volcano, taking into account the topographic effect has been considered. Method of fundamental solution is a numerical Meshless method which is used to solve boundary value problems. No need for high computational cost in this method causes it becomes an effective tool in solving many problems in a variety of fields. To verify the efficiency of the method, the resulted displacement field was compared with the Interferometric Synthetic Aperture Radar  (InSAR) observations at the Italian Campi Flegrei volcano. The root mean square error was less than 2 mm which indicates a good satisfactory with the displacement field resulting from the observations.