Methods and systems employing a flow prediction model based on acoustic activity and proppant compensation

A system, comprising:

• an optical fiber arranged downhole in a formation;
• a light source to provide source light to the optical fiber;
• a receiver coupled to the optical fiber, wherein the receiver comprises:
• at least one optical fiber coupler that receives backscattered light from a pulsed interrogation signal associated with the light source and that produces one or more optical interferometry signals from the backscattered light;
• and
• photo-detectors that produce an electrical signal for each of the one or more optical interferometry signals;
• at least one digitizer that digitizes each electrical signal to obtain one or more digitized electrical signals;
• and
• at least one processing unit configured to,
• process the one or more digitized electrical signals to obtain acoustic activity values correlated with fluid flow at a downhole perforation cluster as a function of time and position, wherein the at least one processing unit applies at least some of the acoustic activity values correlated with the fluid flow at the downhole perforation cluster to a flow prediction model to obtain a proppant compensated fluid flow rate for the downhole perforation cluster as a function of time, wherein the flow prediction model includes a proppant compensation factor, and wherein at least a portion of the flow prediction model indicates a fluid flow rate at the downhole perforation cluster based on the acoustic activity values correlated with the fluid flow at the downhole perforation cluster, and another portion of the flow prediction model indicates the proppant compensation factor based on a function of a proppant compensation estimate, wherein the flow prediction model is a sum of the fluid flow rate at the downhole perforation cluster and the proppant compensation value;
• and
• adjust proppant injection operations by diverting flow with respect to perforation clusters based on the proppant compensated fluid flow rate;
• wherein the at least the portion of the flow prediction model comprises calculating the fluid flow rate as a sum of (i) a first constant multiplied by one or more of the acoustic activity values raised to a power and (ii) a second constant.