Figure 1

Axis symmetric domain. 3D representation (not in scale) of the mechanical (\(\Omega_{M}\)) and hydrological (\(\Omega_{H}\)) domains. The model is axis symmetric, then the topography \(f_{\mathrm{TOP}}\) depends only on the radial direction \(r=\sqrt{x^{2}+y^{2}}\), and a vertical section of the domain is represented in the figure. The mechanical domain extends toward infinity in the radial and downward vertical directions, while the hydrological domain is truncated at a finite distance. The hydrothermal system \(\Omega_{H}\) is perturbed by the injection of water and carbon dioxide (simulating fluids of magmatic origin rising from high depth and entering the system) through a circular area at the base of \(\Omega_{H}\) surrounding the axis of symmetry. Atmospheric boundary conditions are prescribed on \(\Gamma_{H}\). Perturbations in pore pressure, temperature and density are evaluated in the domain \(\Omega_{H}\) and affect the mechanical behavior of the entire domain \(\Omega_{M}\). Stress-free boundary conditions (9) are prescribed at \(\Gamma_{M}\).