Quantification of crossflow effects on fluid distribution during matrix injection treatments

A system for quantifying crossflow effects on fluid distribution during stimulation treatments of hydrocarbon bearing reservoir formations, the 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 functions, including functions to:
• initialize, based on data from the memory, a fluid distribution profile for at least one main stage of a multistage treatment of a reservoir formation;
• simulate the main stage of the multistage treatment to obtain a first set of simulated data for the main stage, based on the fluid distribution profile, wherein the first set of simulated data comprises temperatures simulated along a length of a wellbore after an initiation of the main stage and before the initiation of a secondary stage;
• compare the first set of simulated data with a first set of measured data obtained for an actual main stage of the multistage treatment, wherein the first set of measured data comprises temperatures measured along the length of the wellbore within the reservoir formation after initiation of the main stage and before initiation of the secondary stage;
• adjust the fluid distribution profile based on the comparison for the main stage, until the first set of simulated data matches the first set of measured data;
• simulate a secondary stage of the multistage treatment to obtain a second set of simulated data for the secondary stage, based on the adjusted fluid distribution profile, the secondary stage having a relatively lower fluid injection rate than that of the main stage, wherein the second set of simulated data comprises temperatures simulated over time for a depth in the wellbore;
• compare the second set of simulated data with a second set of measured data obtained for an actual secondary stage of the multistage treatment, wherein the second set of measured data comprises temperatures measured over time for the depth in the wellbore at which an increase in temperature is detected during the secondary stage;
• refine the adjusted fluid distribution profile based on the comparison for the secondary stage, until the first set of simulated data matches the first set of measured data and the second set of simulated data matches the second set of measured data;
• and
• estimate, based on the refined fluid distribution profile, the crossflow effects for one or more subsequent stages of the multistage treatment to be performed.

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:

• initialize a fluid distribution profile for at least one main stage of a multistage treatment of a reservoir formation;
• simulate the main stage of the multistage treatment to obtain a first set of simulated data for the main stage, based on the fluid distribution profile, wherein the first set of simulated data comprises temperatures simulated along a length of a wellbore after an initiation of the main stage and before the initiation of a secondary stage;
• compare the first set of simulated data with a first set of measured data obtained for an actual main stage of the multistage treatment, wherein the first set of measured data comprises temperatures measured along the length of the wellbore within the reservoir formation after initiation of the main stage and before initiation of the secondary stage;
• adjust the fluid distribution profile based on the comparison for the main stage, until the first set of simulated data matches the first set of measured data;
• simulate a secondary stage of the multistage treatment to obtain a second set of simulated data for the secondary stage, based on the adjusted fluid distribution profile, the secondary stage having a relatively lower fluid injection rate than that of the main stage, wherein the second set of simulated data comprises temperatures simulated over time for a depth in the wellbore;
• compare the second set of simulated data with a second set of measured data obtained for an actual secondary stage of the multistage treatment, wherein the second set of measured data comprises temperatures measured over time for the depth in the wellbore at which an increase in temperature is detected during the secondary stage;
• refine the adjusted fluid distribution profile based on the comparison for the secondary stage, until the first set of simulated data matches the first set of measured data and the second set of simulated data matches the second set of measured data;
• and
• estimate, based on the refined fluid distribution profile, crossflow effects for one or more subsequent stages of the multistage treatment to be performed.