System and method for injector warm-back time optimization for zonal allocation in reservoirs

A system for estimating a relative cumulative volume of fluids injected into multiple zones of an injection well located in a hydrocarbon reservoir, the injection well including a plurality of zones, the system comprising:

• an injection system that injects fluid into a wellbore of the injection well;
• a temperature measurement system that measures temperature at points along the wellbore at a plurality of times and depths to create a warm-back data set;
• and
• a computing system that:
• (i) determines an initial geotherm G based on the warm-back data set;
• (ii) adjusts the initial geotherm G using only data from the warm-back data set that is in a middle-time region (MTR) after injection of the fluid into the wellbore, resulting in a calculated pseudo-geotherm G*;
• and
• (iii) estimates a volume of the fluid injected into each of the plurality of zones based on the initial geotherm G and the calculated pseudo-geotherm G*.

A computing system, comprising:

• a processor;
• and
• a non-transitory, computer-readable storage medium, comprising code configured to direct the processor to:
• determine an initial geotherm G for a given depth and time, from a warm-back data set, with a rate of warm-back representative of an estimate of a relative cumulative volume of fluid injected into multiple zones of an injection well located in a hydrocarbon reservoir, the injection well including a plurality of zones, the warm-back data set being based on measured temperature at points along a wellbore at a plurality of times and depths;
• adjust the initial geotherm G using only data from the warm-back data set that represents a middle-time region (MTR) after injection of the fluid into the wellbore, resulting in a calculated pseudo-geotherm G*;
• and
• estimate a volume of the fluid injected into each of the plurality of zones based on the initial geotherm G and the calculated pseudo-geotherm G*.