“…Numerous studies have characterized the fault damage zone focusing on its width and fracture distribution, as these are critical for fluid transport, naturally in the context of fault-valving effects and fault healing, but also in industrial applications like oil and gas exploration, geothermal production, or waste-water injection (Faulkner et al, 2010(Faulkner et al, , 2011Rice, 1992). Numerical simulations and field observations suggest that the formation of offfault fractures is affected by factors like fault geometry and co-seismic displacement, tectonic environment and ambient stress state (Faulkner et al, 2011;Gabriel et al, 2021;Okubo et al, 2019;Sainoki et al, 2021;Wu et al, 2019). A key property of off-fault fractures is that their density decreases with increasing distance from the fault core, typically following a power-law scaling that depends on long-term stress evolution, rock type, and fault maturity (Sainoki et al, 2021).…”