Injection Profiling Through Temperature Warmback Analysis Under Variable Injection Rate and Variable Injection Temperature

Document Type

Article

Publication Date

1-1-2022

Abstract

Temperature warmback analysis has been recently adopted to quantitatively infer the injection profile during injection of cold fluids in stratified and heterogeneous reservoirs. The rate of temperature recovery during a pause of the injection operation is sensitive to the injection profile. In this work, different analytical solutions are presented to model the transient temperature in the reservoir during the injection and the following shut-in periods considering variable injection rate and variable injection temperature conditions. The solutions are further extended to consider the thermal storage capacity of the wellbore as well as the thermal resistances of wellbore components that separate the temperature measurement tool from the sandface. Different inversion procedures are presented accordingly to infer the injection profile using the measured temperature history during the injection and the shut-in periods. Inversion procedures using optimization routines and/or graphical techniques are presented. The graphical techniques are valid for an extended shut-in time, while the regression analysis using optimization tools is applicable for any shut-in durations. Different synthetic cases are presented using a thermal compositional reservoir simulator to show the validity of the fully analytical and semi-analytical models developed in this work. The inversion approach is further applied to published field data for water injection operation in a stratified reservoir. The estimated injection profile is in close agreement with the reported results obtained using a numerical simulation tool.

Publication Source (Journal or Book title)

Transport in Porous Media

First Page

107

Last Page

149

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