Monitoring fracture developments in the rupture area of an earthquake or unconventional energy reservoirs (ex: enhanced geothermal systems (EGS), where massive fluid injection enhances ground permeability) are crucial to determine the stress field direction and optimize well placement and energy production. Assuming that seismic and geoengineering processes leave an electrically anisotropic volume in their corresponding damage zones, we investigate the time variation of apparent resistivity (RT) and phase tensor (PT) residuals for MT monitoring purposes. Examples of anisotropic layered earth structures as well as a synthetic model of an active fault zone becoming electrically anisotropic after the earthquake are investigated.