最小张力法在地层面光滑显示中的应用

Application of Minimal Tension Method to Geological Subsurface Smooth Modeling

论述了应用张力最小法构造光滑的地层面的研究 .利用 2 2 9口井的地层面数据 ,先求取 1 0×1 0网格的克里金估计值 ,然后用张力最小法 ,在克里金估计值的基础上 ,构造出 1 0 0× 1 0 0或者更精细的网格化结果 .且所构造的曲面内的任何点、任意方向上是二阶连续可导的 .该方法不同于以往的构造方法 ,不单纯应用一种方法对地层面从头到尾进行估计 ,而是将地层面构造估计分为两部分 .第一部分利用了克里金估计的精确性 ,第二部分则利用了最小张力法的光滑性 .由于采用了两种不同的估计方法的优点 ,因此 ,既提高了地层面显示的光滑程度 。

Based on Kriging estimation, the application of minimal tension method to smooth geologic subsurface modeling is put forward. The method is as follows: using the data of 229 wells in a subsurface, constructing 10×10 or more accurate grid data with Kriging estimation, and then constructing smooth subsurface model at 100×100 grids based on 10×10 Kriging data by minimal tension method. Because of minimal tension, the subsurface model has the second continuous derivates at 100×100 grids. Because the method combines minimal tension method with Kriging method, the final output has the advantages of both Kriging method and minimal tension method, and the subsurface modeling is smooth and accurate.