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As a modern geodetic method, SAR interferometry measurement has an ability to estimate a high spatial coverage of displacement maps and provides an excellent opportunity to analyze physical processes by modeling the source of deformation. Based on model of Okada, we successfully inverted surface uplift obtained from InSAR data to reservoir deformations. Using genetic algorithms we were able to estimate the location of displacement sources. A penalty function with smoothing factor was used to efficiently invert the distribution of displacement from the surface uplift data. From the genetic algorithms, the depth of displacement sources is 296 meters. It has a good agreement with the depth of injection point from well data. The maximum vertical displacement rate at the depth obtained from the penalty function technique is 4.5 cm. Moreover, surface deformations from forward modeling are comparable to observed data estimated by InSAR. In addition, the total volume change rate is estimated as 148346 m3 a year from 2007 to 2008 considered as the growth of steam chamber. As conclusion, for monitoring reservoir deformations under production the InSAR technology is very useful to provide ground surface deformations and accurately monitor reservoir deformation using inversion techniques.