Abstract: Based on the research and analysis on the current computational models of sound ray tracing,a set of more precise computational formula are derived.The basic principle of the method is that the average sound speed is calculated using the integral of the sound line arc infinitesimal,then a precise beam footprint position formula is obtained.The theoretical analysis shows that the average speed of the traditional ray tracing technology is the approximate solution of the improved sound ray tracing technology when the circular path of the sound ray is taken as chord of the arc.The experimental result shows that the improved sound ray tracing arithmetic is more precise and practical than the traditional sound ray tracing technology.