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复杂地层曲面构建可广泛应用于石油勘探、地质建模、地质构造分析等领域中,也是这些领域数据可视化和可视分析的重要基础。现有方法在多种类型断层处理、曲面光滑性等方面存在不足。为解决地层数据分布不规则性带来的曲面光滑性问题,本文引入几何偏微分方程的曲面造型方法开展地层曲面构建;针对多种类型复杂断层存在情况下的曲面构建问题,提出三维空间与二维平面的投影互换算法,给出了基于几何偏微分方程的多种形式断层的统一处理方法;针对复杂地层曲面构建问题,建立了相应几何偏微分方程,给出演化求解算法。实际地层数据的空间曲面构建验证了本文方法计算效率高、能处理不规则的数据分布,同时能对存在断层尤其是逆掩断层的地层面进行曲面恢复。
Complex formation surface construction can be widely used in petroleum exploration, geological modeling, geological structure analysis and other fields, but also these areas of data visualization and visual analysis of the important basis. The existing methods are deficient in many types of fault treatment, smoothness of the surface and the like. In order to solve the problem of surface smoothness caused by the irregular distribution of formation data, this paper introduces the surface modeling method of geometric partial differential equations to build the surface of the stratum. In order to solve the problem of surface construction in the presence of many types of complex faults, Dimensional planar projection exchange algorithm, a unified treatment method of various forms of faults based on geometric partial differential equations is given. For the formation of complex formation surface, corresponding geometrical partial differential equations are established and the evolutionary algorithm is given. The actual surface data of the surface construction of the space verifies the method is computationally efficient, can handle irregular data distribution, at the same time to the existence of fault, especially the inverse fault surface layer surface reconstruction.