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Shale requires hydraulic fracturing to form a large number of fractures before production. And in-situ stress is a key factor determining the shape, orientation, and extension direction of fractures induced by hydro-fracturing. Therefore, accurate prediction of in-situ stress is crucial for shale gas reservoir effective development. This article propose a in-situ stress prediction method for HTI medium with anisotropic pore elastic stress model and AVAZ inversion. By AVAZ inversion of HTI medium, we get model parameters that conform to geological laws, providing high-quality data for in-situ stress prediction. The estimated in-situ stress using the constructed model is consistent with the actual geological conditions in target layer, which can effectively guide deployment of horizontal well and fracturing operation.