Interpretation of pumping pressure behavior and diagnostic for well perforation efficiency during pumping operations

A method, comprising:

• disposing a casing into a formation;
• perforating the casing with one or more elements;
• measuring hydraulic fracture treatment data from at least a pressure sensor and a flow rate sensor during a hydraulic fracturing operation;
• plotting the hydraulic fracture treatment data to form a plot of the hydraulic fracture treatment data;
• fitting a linear function to the plot of the hydraulic fracturing treatment data;
• determining an intercept of the function;
• calculating a coefficient at the intercept;
• plotting the coefficient on a histogram;
• and
• identifying one or more active flowpath elements from the histogram, wherein the one or more active flowpath elements are one or more perforation holes or perforation clusters.

A system comprising:

• a fluid handling system comprising:
• a fluid supply vessel, wherein the fluid supply vessel is disposed on a surface;
• pumping equipment, wherein the pumping equipment is fluidically connected to the fluid supply vessel and disposed on the surface;
• a wellbore supply conduit, wherein the wellbore supply conduit is attached to the pumping equipment and disposed in a formation;
• and
• a plurality of flowpath elements, wherein the flowpath elements fluidically couple the wellbore supply conduit to the formation;
• and
• an information handling system configured to:
• communicate with at least a pressure sensor and a flow rate sensor during a hydraulic fracturing operation;
• plot hydraulic fracturing treatment data to form a plot of the hydraulic fracturing treatment data;
• fit a function to the plot of the hydraulic fracturing treatment data;
• determine an intercept of the function;
• calculate one or more coefficients;
• plot the one or more coefficients on a histogram;
• and
• identify one or more active flowpath elements from the histogram, wherein the one or more active flowpath elements are one or more perforation holes or perforation clusters.