Two-Dimensional Ray Tracing Program for Seismic Wave Forward Modeling

This document presents a comprehensive two-dimensional ray tracing program developed in MATLAB for seismic wave forward modeling applications. The implementation utilizes numerical algorithms to simulate seismic wave propagation through subsurface geological structures, employing ray tracing methodologies to calculate wave paths and travel times. Key computational components include velocity model initialization, ray path calculation using Snell's law implementation, and wavefront tracking through heterogeneous media. The program architecture features modular design with core functions handling velocity field discretization, ray launching mechanisms, and boundary condition management. Algorithmically, it incorporates interpolation techniques for smooth velocity transitions and adaptive step sizing for accurate trajectory computation. The code supports complex geological scenarios including layered media, faults, and dipping interfaces through customizable parameter configurations. This simulation tool provides valuable insights into seismic wave behavior under varying subsurface conditions, enabling researchers to model amplitude variations, arrival times, and propagation patterns. The MATLAB implementation offers vectorized operations for computational efficiency and includes visualization modules for ray path plotting and wavefront display. Geophysicists and researchers can utilize this program to validate theoretical models, design seismic surveys, and interpret field data through synthetic seismogram generation. The program's extensible framework allows integration of additional features such as attenuation modeling, anisotropic media support, and frequency-dependent effects. With comprehensive documentation and commented source code, it serves as both a practical research tool and educational resource for wave propagation studies in geophysical applications.