The stress interaction among multiple fractures in a horizontal well causes non-uniform distribution of fracturing fluid

and then affects the geometry of hydraulic fracture. Boundary element method is used to determine the rock deformation under the hydraulic pressure of fracturing fluid

and the Poiseuille flow of the power-law fluid is conducted to calculate the flow field of fracturing fluid inside the hydraulic fracture. Considering the stress interaction and fluid distribution

a fluid-solid coupled model is proposed to illustrate the hydraulic fracture propagation in multiple simultaneous fracturing of a horizontal well. This model can simulate the fracture geometry and stress interaction

and this model figures out the mechanism of fracturing fluid distribution and fracture competition. During the process of multiple fracture propagation

the fracturing fluid is not equally distributed into each fracture. The interior fracture with the lowest width contains the least amount of fracturing fluid . The interior fracture stops growth and closes after reaching certain length due to stress interaction.