Traditional sanding prediction depends on the basic data of well logging or rock strength tests, which only reflects the initial situation of formation. This is called stationary sanding prediction. In fact, for unconsolidated sandstone reservoir, the critical sand prediction conditions vary with reservoir pressure, water cut or water saturation and formation temperature. In this paper, the concept of dynamic sanding prediction was put forward and the accesses of the above production condition affecting the critical sanding conditions were found to perform dynamic sanding prediction. The relationship of sandstone rock strength and water saturation was obtained by fitting of experiment data from other researchers. The effect of reservoir pressure decreasing on sand production was considered by principal stress formula and stress distribution model. The additional thermal stress model during thermal production is used to consider the effect of temperature on sanding. Finally an integrated model for dynamic sanding prediction was developed to predict the sanding characteristics of a typical heavy oil reservoir with thermal production in Bohai bay. The results indicate that reservoir pressure decreasing and temperature increasing tend to lead an obvious drop of critical sanding pressure drawdown (CSPD). CSPD also decreases with water cut or water saturation increasing, the sensitivity of which depends on the initial water saturation of reservoir rock. For the sandstone reservoir with thermal production, the highest risk of sand production would be the stage when the well turn from thermal injection to production, and steady improving of production rate to desired value is suggested to avoid disastrous sand production.