Control of Proppant Redistribution During Fracturing

A system comprising:

• a processor;
• and
• a memory coupled to the processor, wherein the memory stores a program configured to:
• calculate a fluid flow, wherein the fluid flow is a flow of a fracturing fluid comprising proppant;
• calculate dimensionless parameters;
• determine a proppant collection efficiency utilizing pre-calculated data;
• calculate a proppant flow rate to a fracture;
• and
• calculate an amount of the proppant delivered to the fracture based on the fluid flow, the dimensionless parameters, the proppant collection efficiency, and the proppant flow rate to the fracture.

A non-transitory computer-readable media storing a program, wherein the program is configured to:

• calculate a fluid flow, wherein the fluid flow is a flow of a fracturing fluid comprising a proppant;
• calculate dimensionless parameters, wherein the dimensionless parameters comprise a description of a local flow around an individual perforated exit from a wellbore to a fracture;
• determine a proppant collection efficiency utilizing pre-calculated data;
• calculate a proppant flow rate to the fracture;
• and
• calculate an amount of the proppant delivered to the fracture based on the fluid flow, the dimensionless parameters, the proppant collection efficiency, and the proppant flow rate to the fracture.