石油与天然气地质 ›› 2010, Vol. 31 ›› Issue (2): 244-249.doi: 10.11743/ogg20100217

• 石油与天然气地质 • 上一篇    下一篇

双调和样条内插方法在测井和地震资料整合中的应用

 夏吉庄   

  • 出版日期:2010-04-26 发布日期:2010-09-02

An application of biharm onic spline interpolation to integration of logging and seism ic data

 XIA  Ji-Zhuang-   

  1. Geophysical Prospecting Research Institute; Shengli Oilfield Company; SINOPEC; Dongying; Shandong 257015; China
  • Online:2010-04-26 Published:2010-09-02

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1163

被引次数

15

摘要：

利用格林函数，研究了双调和样条内插方法的原理及特点，推导了一维空间到多维空间双调和样条内插公式。这种算法的一种特点是滤波的曲率最小。在运用双调和样条内插方法的基础上，利用网格节点值会聚算法，把网格节点的值向着被它们包围的测井构造数据处的值的趋近、会聚，将分散的各口井的测井构造数据以一定的形式影响、改变附近的地震构造数据。从而，实现了测井数据和地震数据的整合。 通过胜利油田永3断块典型的复杂构造油气藏测井和地震数据的应用实例，并对其地质效果进行了讨论，证明了双调和样条内插方法的有效性。实际应用地实例显示，采用双调和样条插值算法，基于高精度三维地震数据作出的构造图的分辨率较高的特性，较好克服了单纯利用测井资料作出的构造图的分辨率较低而产生的误解。双调和样条插值算法，较好地解决了这两种资料在预测地层构造面中的有效整合，消除了单一资料的不确定性，使预测结果更准确、更合理。

关键词: 双调和样条内插, 格林函数, 测井数据, 地震数据, 构造面

Abstract:

By employing Green，s function，the principle and pattern of biharmonic spline interpolation are studˉied，and the formulas of one tomultiple dimensional biharmonic spline interpolation are deduced.One feature of this algorithm is itsm inimal filter curvature.On a basis of applying the biharmonic spline interpolation，a converˉgence algorithm ofgrid node value is used to approximate the gridˉnode values to their surrounded values at logˉging structure data，and to make the separate logging structure data in every well impact and change adjacent seism ic structure data in a certain way，therefore resulting in an integration of logging and seism ic data. The effect of this biharmonic spline interpolation has been verified by its application in the typical complex reservoir in Yongˉ3faulted block，Shengli oilfield.The application results indicated that the structuralmaps proˉduced by thismethod on a basis of3D seism ic data with high precision can well avoid m istakes in the structural mapswith lower resolution produced by only using logging data，due to higher resolution of the formermaps.This method of biharmonic spline interpolation can effectively integrate seism ic data with logging data in predicting stratigraphicˉstructural surfaces，and elim inate the uncertainties resulter from using a single type of data，thus making the prediction more accurate and reliable.

Key words: biharmonic spline interpolation, Green’s function, logging data, seism ic data, structural surface