“…However, several mechanisms may result in the loss of fracture conductivity, such as fines migration, proppant diagenesis, proppant crushing, − and proppant embedment, which is defined as proppant particles being embedded into the rock mass under pressure, causing a reduction in the fracture width and conductivity . Among these mechanisms, proppant embedment has been investigated via experiments, − numerical simulation, − and analytical modeling. − However, as has been confirmed by a larger number of laboratory experiments conducted with proppants to reproduce the in situ fracturing process, laboratory observations greatly overestimate the conductivity of real wells. , This great discrepancy may arise because in these studies, the underground rocks are often regarded as elastic/elastoplastic. , However, increasing reservoir depth, high temperature, high pressure, and high stress may result in extreme geological conditions, which may transform the mechanical properties of reservoir rocks from elastic to viscoelastic or viscoplastic . Hard rocks can also exhibit time-dependent deformation , under such extreme conditions.…”