Differences between the ASTER Level 1T and the corresponding Level 1B and Orthorectified data products (https://lpdaac.usgs.gov/dataset_discovery/aster/aster_products_table/ast_l1t):
ASTER Level 1B at-sensor radiance is in a path-oriented projection as opposed to the north-up UTM projection available in both the ASTER Level 1T and ASTER Orthorectified products.
ASTER Level 1B images dimensions for each of the three sensor subsystems (VNIR, SWIR, and TIR) remain constant from one scene to the next, but the ASTER Level 1T and ASTER Orthorectifed image dimensions vary by scene because of the rotation process.
ASTER Orthorectified at-sensor radiance is produced using proprietary software and corrected using an ASTER derived digital elevation model and ground control points, whereas the ASTER Level 1T uses the GLS2000 digital elevation data, which is a bare ground DEM, and derived ground control points with Land Processes (LP) Distributed Active Archive Center (DAAC) modified Landsat geometric algorithms.
The ASTER Level 1T is a multi-file product generated with a single resampling from the ASTER Level 1A input scene to provide low-resolution browse, full resolution imagery, and an independent geometric verification report with browse in addition to standard metadata.
I am also using the ASTER L1T data for the geological and structural mapping. It is radiometrically and terrain corrected data. Atmosphere correction and crosstalk correction you have to apply in the preprocessing of data.