It is well known that the supercritical CO

2

has the dual characteristic of gas and liquid. In order to study the forces of the sand in the fluidized bed formed by the supercritical CO

2

fracturing fluid and the migration of the proppant particle under the force

we analyzed the acting force between two particles

and the particle and the fluid

and that of the fluid on the particle. Based on the mathematical model

we derived the relation between the elastic restitution coefficient and the agglomeration concentration of particles. With the increasing of the elastic restitution coefficient

the distribution of the agglomeration concentration gets more evenly

the agglomeration concentration decreases

the collision of particle

s is more intense

the particles settle down more slowly

and the sand migration effect is better. Meanwhile

through the numerical simulation of the double Euler multiphase model based on the particle kinetic theory

we described the fluidization model in the fluidized bed formed by the supercritical CO

2

fracturing fluid in operation

and the two phase distribution of the particle of the supercritical phase and the solid phase. The simulation result is consistent with the mathematical model.