The lacustrine carbonate rocks of the fourth member of Shahejie Formation in Jiyang Depression are controlled by the sedimentary environment and tectonic movement in the lacustrine basin.The thickness of the reservoirs varies greatly and the heterogeneity is strong,which makes it difficult to develop oil and gas.To accurately predict the thickness of lacustrine carbonate reservoirs,we propose a thickness prediction method for the lacustrine carbonate reservoirs based on the two-dimension scattering transform and random forest.First,the seismic time-frequency attributes are extracted by the two-dimensional scattering transform,which is generated by iterative wavelet decomposition and nonlinear operation based on two-dimensional wavelet transform.Compared with the traditional two-dimension wavelet,the scattering transform has local translation deformation stability,rotation deformation stability,and noise robustness,which are helpful to improve the accuracy of reservoir thickness prediction.Furthermore,due to the limitation of the well information,the random forest method is utilized to construct the nonlinear relationship between multi-scale scattering transform attributes and the interpreted thickness of the well.Then,the thickness prediction method of the lacustrine carbonate reservoir is proposed.Afterward,the synthetic seismic data is applied to the proposed method and the results reveal that the proposed method has the best performance in comparison with the traditional seismic amplitude attributes and the two-dimensional wavelet transform.Finally,the effectiveness of the proposed method is demonstrated by using the three-dimension post-stack seismic data.Compared with the prediction results based on traditional seismic amplitude attributes and the two-dimensional wavelet transform,the predicted result of the proposed method is completely consistent with the drilling well data,which can improve the accuracy of reservoir prediction.The proposed method can also identify the sedimentary sub-facies of the reef with limestone,the beach with limestone,and the plaster,which is beneficial for the subsequent well placement.