Abstract: Based on elastic-plastic mechanics and damagedMechanic, considering the effect of fluid flow in strata, the stress distribution around open-hole completion well-bore is analyzed.Using Mohr-Coulomb criteria, the sand production model is founded.The calculating method of the critical fluid pressure of bottom hole is given.Influence of reservoir pressure, compressive strength of rock, production pressure difference, rock strength factor on sand production are also analysed, and the result shows that critical bottomhole pressure and wallbore production sand will take varies according to these parameters change.