Real-time diversion control for stimulation treatments using tortuosity and step-down analysis

A system comprising:

• at least one processor;
• and
• a memory coupled to the processor having instructions stored therein, which when executed by the processor, cause the processor to perform a plurality of functions, including functions to:
• determine input parameters for a stimulation treatment being performed along a wellbore within a subsurface formation, the input parameters including selected treatment design parameters and formation parameters;
• perform a step-down analysis to identify friction components of a total fracture entry friction affecting near-wellbore pressure loss during the stimulation treatment;
• determine efficiency parameters for a diversion phase of the stimulation treatment to be performed along a portion of the wellbore, based on the input parameters and the friction components;
• calculate an amount of diverter to be injected during the diversion phase of the stimulation treatment, based at least partly on the efficiency parameters;
• and
• perform the diversion phase of the stimulation treatment by injecting the calculated amount of diverter into the subsurface formation via perforations along the portion of the wellbore.

A computer-readable storage medium having instructions stored therein, which when executed by a computer cause the computer to perform a plurality of functions, including functions to:

• determine input parameters for a stimulation treatment being performed along a wellbore within a subsurface formation, the input parameters including selected treatment design parameters and formation parameters;
• perform a step-down analysis to identify friction components of a total fracture entry friction affecting near-wellbore pressure loss during the stimulation treatment;
• determine efficiency parameters for a diversion phase of the stimulation treatment to be performed along a portion of the wellbore, based on the input parameters and the friction components;
• calculate an amount of diverter to be injected during the diversion phase of the stimulation treatment, based at least partly on the efficiency parameters;
• and
• perform the diversion phase of the stimulation treatment by injecting the calculated amount of diverter into the subsurface formation via perforations along the portion of the wellbore.