Implementation of Pre-stack Seismic Three-Parameter Inversion (P-wave Velocity, S-wave Velocity, Density)

Our objective is to implement pre-stack seismic three-parameter inversion, which includes P-wave velocity, S-wave velocity, and density. Our research encompasses multiple aspects, including seismic data acquisition, data preprocessing, mathematical model construction, and inversion algorithm execution. For data acquisition, we employ high-quality seismic instruments to ensure data accuracy. In code implementation, this typically involves configuring sensor interfaces and implementing real-time data streaming protocols. In data preprocessing, we utilize various techniques for noise removal and missing data interpolation. Algorithmically, this involves applying Fourier transform filters for noise suppression and implementing kriging interpolation methods for data gap filling. For mathematical model construction, we consider various geological factors such as stratigraphic conditions, topography, and rock types. This is implemented through rock physics modeling using equations like the Aki-Richards approximation, which relates seismic amplitudes to the three target parameters. Finally, we execute inversion algorithms using optimization techniques such as least-squares minimization or Bayesian inversion approaches. The implementation typically involves gradient-based optimization methods with regularization constraints to obtain the most accurate pre-stack three-parameter inversion results.