Program for Exact Solution of Zoeppritz Equations

This program provides exact numerical solutions to the Zoeppritz equations, which model seismic wave reflection and transmission coefficients at geological interfaces. The implementation incorporates matrix-based computational methods to handle complex boundary conditions and multi-layer scenarios. Key algorithmic features include efficient matrix inversion techniques for solving the 4x4 coefficient system and robust handling of critical angle conditions. The program accepts comprehensive input parameters including P-wave velocity, S-wave velocity, density, and incidence angles for each geological layer. The core computational module utilizes optimized linear algebra routines to calculate precise reflection and transmission coefficients, which form the foundation for AVO analysis and synthetic seismogram generation. These computed coefficients enable the creation of accurate synthetic seismic records that simulate wave propagation through subsurface formations. The implementation includes amplitude-versus-offset (AVO) response calculations and support for various wave types (P-P, P-S, S-P, S-S reflections). This tool significantly enhances seismic interpretation accuracy by providing reliable forward modeling capabilities, allowing geoscientists to better understand subsurface structures and improve hydrocarbon exploration outcomes. The code architecture supports batch processing for multiple incidence angles and layered earth models, with optional outputs including amplitude plots, coefficient matrices, and format-compatible data for integration with seismic interpretation software.