Inorganic scaling is a common phenomenon during drilling. Due to the lack of effective judgment on the damage degree and damage radius of inorganic scaling in problem wells, it is difficult to conduct effective reservoir protection, resulting in reservoir plugging and failure to achieve production allocation after well completion. Aiming at the common types of inorganic scale damage such as calcium carbonate, calcium sulfate, barium sulfate, strontium sulfate, etc. in the drilling process, a mathematical model of differential equations coupled with mechanics and chemistry was established to realize the time-space scale simulation of inorganic scale damage. The accuracy of the model has been verified and applied in an oilfield in Bohai Sea. Based on this model, the influence of model parameters such as drilling pressure difference, reservoir temperature, and reservoir pressure on the degree of inorganic scale damage was discussed. The prevention of inorganic scale damage in the reservoir during drilling should be given priority, and the reasonable control of drilling pressure difference is the key.