Seismic Inversion Method Based on Logarithmic Three-dimensional Total Variation Sparse Constraint under Mixed-domain Constraints

HOU Bo; PENG Wenxu; WANG Jia; LIU Wanchun; LI Fuhao

doi:10.15953/j.ctta.2025.151

Abstract：The sparse impedance inversion method is widely used in oil and gas exploration.However,traditional sparse constraints capture limited three-dimensional spatial sparse information and often neglect the time-frequency characteristics of seismic data.As a result,the spatial resolution and accuracy of three-dimensional inversion results are often small.To address these limitations,this study proposes a seismic inversion method based on logarithmic three-dimensional total variation sparse constraints under mixed domain conditions.The method introduces a logarithmic penalty factor to extract sparse information.Compared with conventional sparse constraints,the logarithmic penalty allows for the extraction of more effective sparse structures.When combined with a 3D total variation constraint,this method fully exploits the spatial sparsity of wave impedance,thereby improving both spatial resolution and inversion accuracy.In addition,the proposed approach incorporates time-frequency domain information using a short-time Fourier transform(STFT)forward operator.This integration introduces essential time-frequency characteristics of seismic data into the inversion process,further enhancing its accuracy.To improve inversion stability,the method combines initial model constraints,time-frequency domain constraints,and logarithmic 3D total variation sparse constraints within a unified objective function.This objective function is solved using the alternating direction method of multipliers(ADMM).The proposed method was validated on both a three-dimensional thrust body model and real 3D seismic data.Results demonstrates that,compared to conventional methods,the proposed approach significantly improves the spatial resolution and accuracy of 3D inversion results.