An Improved Parabolic Interpolation Ray Tracing Method

Ray tracing is a two-point ray tracing problems that given shot point and receiver. Itis the foundation of many wave velocity inversion and computed tomography (CT)technique. It is widely used in forward modeling, tomographic imaging, migrationimaging and digital processing. Inversion results depends on the efficiency and precisionof ray tracing, so it is very important to find a high precision and calculation efficiency ofray tracing method. Among the methods of ray tracing, different methods have thedifferent accuracy, and applied to the different complexity of the medium requirements. Inorder to improve the accuracy of direct wave ray tracing, the article focus on the study ofhigh precision interpolation for wave propagation path and travel time. The main contentsof the paper are as follows:Firstly, the purpose and meaning of the research are introduced. The domestic andforeign history and present situation of various kinds of ray tracing algorithm andsummarized. The key point is the research on linear interpolation ray tracing method.Secondly, the basic theory of acoustic wave propagation and the idea of ray tracingare introduced. The Vidale and LTI methods are introduced in detail, and theimplementation is introduced.Thirdly, based on the parabolic interpolation ray tracing algorithm, a new methordwas proposed. And the realization process of the algorithm was introduced in detail.Finally, on the basis of the algorithm, in order to verify the reliability of the algorithm,three typical medium models are trialed. It is showde that the algorithm is a kind of highprecision method of ray tracing by observing its contour map and compare with real raypath.