简介：Asinglesetofverticallyalignedcracksembeddedinapurelyisotropicbackgroundmaybeconsideredasalong-wavelengtheffectivetransverselyisotropy(HTI)mediumwithahorizontalsymmetryaxis.Thecrack-inducedHTIanisotropycanbecharacterizedbytheweaklyanisotropicparametersintroducedbyThomsen.TheseismicscatteringtheorycanbeutilizedfortheinversionfortheanisotropicparametersinweaklyanisotropicandheterogeneousHTImedia.Basedontheseismicscatteringtheory,wefirstderivedthelinearizedPP-andPS-wavereflectioncoefficientsintermsofP-andS-waveimpedances,densityaswellasthreeanisotropicparametersinHTImedia.Then,weproposedanovelBayesianMarkovchainMonteCarloinversionmethodofPP-andPSwaveforsixelasticandanisotropicparametersdirectly.Testsonsyntheticazimuthalseismicdatacontaminatedbyrandomerrorsdemonstratedthatthismethodappearsmoreaccurate,anti-noiseandstableowingtotheusageoftheconstrainedPS-wavecomparedwiththestandardsinversionschemetakingonlythePP-waveintoaccount.