北京航空航天大学学报

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基于Level Set和多重拷贝策略的复杂地质速度模型表达

张建兴1,杨钦1,孟宪海1,李吉刚2   

  1. 1. 北京航空航天大学计算机学院
    2.
  • 收稿日期:2015-03-04 修回日期:2015-08-04 发布日期:2015-09-08
  • 通讯作者: 张建兴
  • 基金资助:
    国家科技重大专项资助项目;软件开发环境国家重点实验室探索性自主研究课题资助

Representation of complex geological velocity model based on Level set and multi-copy strategy

  • Received:2015-03-04 Revised:2015-08-04 Published:2015-09-08

摘要: 提出了一种将速度间断面信息以隐函数的零等值面形式内嵌于速度模型的表达方法,多重拷贝策略使得相邻的速度块体互不干涉,妥善处理了在速度间断面处插值速度信息的矛盾。该表达方法适于描述复杂地质构造下的速度模型,如多值层面和具有非流形性质的断裂层面。在基于射线理论的应用中,利用符号距离场和速度间断面二叉树能迅速获得空间任意点的速度信息,检测射线与速度间断面的相交关系,并使射线在速度间断面处严格执行Snell定律,提高了射线路径的正确性。两组射线追踪的应用实例验证该表达方法的有效性。

关键词: 速度模型, Level set, 多重拷贝, 速度间断面, 二叉树

Abstract: This paper presents a novel representation method for describing velocity models. Velocity discontinuity is embedded into model in the form of zero-value contour of an implicit function. Strategy of multiple copies is to properly handle the contradictory interpolation of velocity value at the boundary of discontinuities. The representation method can be applied to describe very complicated velocity models such as the faulted interface with non-manifold nature and multiple value surfaces. In applications based on the ray theory, signed distance function and velocity discontinuity binary tree enable fast access to velocity information of arbitrary point and easy detection of ray-interface intersection. The model can make the ray propagate positively and honor Snell's law strictly when facing velocity interface and thus improve the accuracy of ray path. Two groups of ray tracing examples verify the effectiveness of the method.

Key words: velocity model, level set, multiple copies, velocity discontinuity, binary tree


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