The relationship between the fault damage zone width and displacement is useful for fault process study and tight reservoir exploitation in the deep subsurface. However,the relationship is not generally display a power-law-scaling relationship and is difficult to assess the fault elements along the strike-slip fault in the deep subsurface.Together with the analysis of the new 3D seismic responses,this paper presents a detailed fault attributes measurement and correlation analysis between the fault damage zone width and displacement of the strike-slip fault damage zones from the Lower Palaeozoic carbonates in the Tarim basin.Further,we discuss the fault damage zone width distribution along the fault zones.Methods: With a detailed interpretation of the Ordovician carbonates by high resolution 3-D seismic data from the deep subsurface,we use height difference between the maximum and minimum altitude of the fault zone as a proxy for the vertical throw in seismic profiles.Constrained by seismic responds of the fault damage zone,we identify the fault damage zone envelop by the fault seismic coherence and amplitude change from the seismic profile,which is corrected by the seismic attributes and well data.Further,we measure the fault height difference and damage zone width from 10 strike- slip fault zones in the Tarim Basin.Finally,we analysis the relationship between the fault damage zone width and height different.Results: The results showed that: ① the carbonate fault damage zones developed in the Lower Paleozoic of the Tarim basin. The damage zone width is up to 3000 m,and generally in the range of 100~700 m,in which the width distribution is similar from different regions and lithology;② there is good positive relationship between the fault damage zone width and height difference.Although a few values of the fault damage zone width/high difference are up to 70,most of them are in the range of 3~16;③ most damage zone width grows with the displacement increase in power-law relationship,but some have higher enlarge rate,and some slow down with the height difference increase with a same tectonic background and lithology in a fault zone,which resulted in the data scatter.Conclusions: By comprehensive analysis,the results indicate that height difference is an effective parameter for damage zone width prediction and scaling along strike-slip fault damage zone in the subsurface.The correlation between fault damage zone and displacement does not follow a simple linear or power law relationship,but shows in two trends or two stages to show different damage zone growth processes in the Tarim Basin.