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It is difficult to determine the optimal weight on bit (WOB) of the double-driven bottomhole assembly (DD-BHA,with double stabilizers and a bent housing positive displacement motor (PDM)) which is employed during vertical and fast drilling.High WOB leads to well deviation out of control,and low WOB leads to low rate of penetration (ROP).So considering the rock physical properties,the anisotropy index function of polycrystalline diamond compact (PDC) bit was derived with the structure and cutting performance parameters of the bit,and the effect of natural hole deviation tendencies on the performance of DD-BHA resisting deviation was represented.The concept of elliptic deformation ratio was used to characterize the performance of DD-BHA resisting deviation.Eventually,a model calculating the critical WOB was established.By comparing the model predictions with the measured hole angle changes in the field,the results show that the model predictions are accurate with error less than 5.8％,which can meet the operational requirements in the projects.Furthermore,the model was adopted to justify and guide the operating conditions and parameters during drilling,which shows that the optimum WOB predicted by the model can not only control deviation but also improve ROP effectively.The model is independent on the formation characteristics of blocks,so it can be expanded widely to other oilfields.