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Ray-tracing Algorithm for Solving Equation Equations with Arbitrary Surface and Heterogeneous Media

A ray tracing and surface technology, applied in seismology, instruments, measuring devices, etc., can solve the problem that the FMM algorithm can not solve the function equation, and achieve the effect of satisfying the wavefront propagation law, high calculation efficiency, and improving calculation accuracy.

Active Publication Date: 2020-06-05
GUILIN UNIVERSITY OF TECHNOLOGY
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Problems solved by technology

[0004] The present invention has completed the difficulty that the FMM algorithm can not be realized in the non-orthogonal coordinate system in solving the equation of the equation, and proposes a method for solving this difficulty

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  • Ray-tracing Algorithm for Solving Equation Equations with Arbitrary Surface and Heterogeneous Media
  • Ray-tracing Algorithm for Solving Equation Equations with Arbitrary Surface and Heterogeneous Media
  • Ray-tracing Algorithm for Solving Equation Equations with Arbitrary Surface and Heterogeneous Media

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Embodiment Construction

[0039] Step 1: Establish a velocity grid model (Velocity grids), mesh the surface, and give the velocity value of each grid point. Generally speaking, compared with the propagation grids, the velocity grid is more coarsely divided.

[0040]Step 2: first establish the undulating terrain model, perform propagation grid division, and divide it into triangular meshes. Dividing triangular meshes is to establish acute-angled triangles. Specifically, it is divided into establishing equilateral triangles on the horizontal plane without considering surface undulations; and if Considering the ups and downs of the terrain, the interior angle of the established triangle is around 60 degrees. In order to ensure the efficiency of the algorithm, the terrain undulations are smoothed to a certain extent. Finally, an arbitrary undulating terrain model with a certain degree of smoothness is obtained ( figure 2 ). In addition, the grid near the source is refined to ensure the accuracy of calcu...

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Abstract

The present invention discloses an arbitrarily curved surface inhomogeneous medium fast marching method (FMM) eikonal equation solving ray tracing algorithm. The application of the FMM in a body waveis greatly developed, the FMM is used in the surface wave ray tracing of a two-dimensional plane, however, an FMM eikonal equation cannot be utilized in an arbitrarily curved surface with topographiesso far. A traditional FMM only has first-order precision in an algorithm in a non-orthogonal coordinate grid, and the algorithm provided by the invention employs directional derivatives in an upwindgrid to allow the calculation of the FMM in the non-orthogonal grid to have higher precision. The arbitrarily curved surface inhomogeneous medium fast marching eikonal equation solving ray tracing algorithm solve the problems of arbitrarily complex topographies and inhomogeneous medium fast ray tracing and can be used for surface wave exploration and surface wave tomography of arbitrarily rugged topographies.

Description

technical field [0001] The invention relates to arbitrary curved surface ray tracing, which is an important technology in the field of seismic exploration and seismic tomography. Background technique [0002] Surface wave exploration and surface wave tomography are important technologies in the field of seismic exploration. They are not only important means in the study of large-scale earth science, but also widely used in shallow seismic exploration. Seismic exploration belongs to the geophysical inversion technology, and the most efficient method is the travel time inversion method. Both body wave prospecting and surface wave prospecting are inseparable from the forward modeling process, and the most critical step in the forward modeling process is ray tracing. Ray tracing techniques are very rich, including meshless methods and mesh methods. Among them, the gridless method includes bending method, test shooting method, wavefront reconstruction method and other technolog...

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G01V1/30
CPCG01V1/306G01V2210/624
Inventor 薛霆虓黄明曦
Owner GUILIN UNIVERSITY OF TECHNOLOGY
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