Abstract: Abastrat: Water well enhanced fracturing has become a new approach for efficient development of low-permeability reservoirs. Focusing on the key issue of rock damage and fracture mechanics response mechanism during this process, core enhanced fracturing physical simulation experiments were conducted, the variation law of stress field around the well was analyzed, calculation criteria for initiation and fracture pressure of reservoir enhanced fracturing were established, and the main controlling factors and influencing laws of rock mechanics response mode under low pressure rise rate were clarified. The results show that compared with the traditional fracturing process, enhanced fracturing can significantly increase the pore pressure around the well, causing a drastic change in the third stress field derived from pore pressure, which in turn changes the rock mechanical response mode from the tensile fracture mode of traditional fracturing to a progressive damage evolution mode: By controlling the injection flow rate and viscosity, as the bottom hole pressure rise rate increases, the rock sequentially exhibits three mechanical response modes: pore elastic-plastic permeability enhancement, channel plastic permeability enhancement, and fracture induced flow diversion. Under the experimental conditions, the pressure rise rate limits of the three response modes are 0.1 MPa/s and 1.0 MPa/s, respectively; Under a lower pressure rise rate, the rock around the wellbore is subjected to the synergistic effect of microscopic expansion and fracturing caused by fluid pressure in the pores and macroscopic failure caused by effective stress, and the initiation and fracture pressures decrease with the reduction of bottom hole pressure rise rate; The location of the initiation point deviates from the wellbore, and its distance from the wellbore increases with the decrease of pressure rise rate; The discrimination criteria based on fracture mechanics can better characterize this correlation between initiation pressure, fracture pressure, initiation point position and pressure rise rate. The influence law of bottom hole pressure rise rate on rock mechanics response mode presented in this study can provide support for process design aimed at large-scale enhanced fracturing transformation.