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The present work reports on the development of a three-dimensional transient model, which describes the multi-physical coupling of thermal (T), hydraulic (H), and mechanical (M) processes during heat extraction of enhanced geothermal systems (EGS). The model encompasses: (1) local thermal non-equilibrium to formulate the convective heat exchange between rock matrix and heat transfer fluid in the reservoir, (2) sub-modules describing temperature- and pressure-dependent thermophysical properties of water, and (3) a thermo-poroelastic model, which is used to calculate the effective stress in the rock matrix and to determine the time-changing local porosity and permeability in the reservoir. Analyses for an idealized EGS indicate that an increased effective stress in the rock matrix yields significant mechanical effects upon the EGS heat extraction performance, namely: for a given injection pressure the mass …