14 15Ground deformation has been demonstrated to be one of the most common signals of 16 volcanic unrest. Although volcanoes are commonly associated with significant 17 topographic relief, most analytical models assume the Earth's surface as flat. However, 18 it has been confirmed that this approximation can lead to important misinterpretations 19 of the recorded surface deformation data. Here we perform a systematic and quantitative 20 analysis of how topography may influence ground deformation signals generated by a 21 spherical pressure source embedded in an elastic homogeneous media and how these 22 variations correlate with the different topographic parameters characterizing the terrain 23 form (e.g. slope, aspect, curvature, etc.). For this, we bring together the results exposed 24 in previous published papers and complement them with new axisymmetric and 3D 25Finite Elements (FE) models results. First, we study, in a parametric way, the influence 26 of a volcanic edifice centered above the pressure source axis. Second, we carry out new 27 3D FE models simulating the real topography of three different volcanic areas 28 representative of topographic scenarios common in volcanic regions: Rabaul caldera 29
(Papua New Guinea) and the volcanic islands of Tenerife and El Hierro (Canary 30Islands). The calculated differences are then correlated with a series of topographic 31 parameters. The final aim is to investigate the artifacts that might arise from the use of 32 half-space models at volcanic areas due to diverse topographic features (e.g. collapse 33 caldera structures, prominent central edifices, large landslide scars, etc.). 34 35