I am working on Sentinel 2 and Landsat data to map the supra-glacial lake on High mountain region, where most of the part is covered by ice and snow and part of the area has significant cover of shadow. I tried several water detection index i.e NDWI, MNDWI, AWEI and some individual band threshold, but could not differentiate the lake from shadow and snow and ice. Lake which has larger area that I can detect clearly, which has less sediment but small lake with sediment is very difficult for me to detect. Does anybody have any idea on this regards?

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