Method for determining fracture treatment uniformity index from tube waves induced in a well

A non-transitory computer readable medium having stored thereon logic operable to cause a programmable computer to perform actions comprising:

• accepting as input to the computer, measurements of pressure and fluid flow rate in a well during pumping a fracture treatment;
• for at least one change in flow rate of the pumping, determining or estimating a well pipe friction pressure loss, and determining a perforation friction pressure loss using tube wave events in the measured pressure induced by the at least one change in flow rate;
• determining a perforation efficiency using the perforation friction pressure loss and an expected perforation friction pressure loss, wherein the expected perforation friction pressure loss is based on hydraulic properties of fluid being pumped and models of fluid flow properties through various size apertures;
• determining a volume of fluid accepted by each of a plurality of perforation clusters in the well pipe using the determined perforation efficiency;
• and
• using the determined volumes, calculating a uniformity index (UI) of the plurality of perforation clusters, wherein the uniformity index represents a variability of fluid entry into a subsurface formation through each of a multiple perforation clusters in a well pipe.