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Calculating Distance in the Presence of Locally Varying Anisotropy

机译:在存在局部变化的各向异性的情况下计算距离

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There are times when a single stationary specification of anisotropy will not capture the complexities of a geologic site. In this situation, the anisotropy can be varied locally. The directions of continuity or even the range of the variograms can change depending on the area within the domain being modeled. There are algorithms that permit Kriging with a locally varying anisotropy model. The common approach is to generate different Kriging matrices at each location using the local direction of anisotropy from the anisotropy model. As each location is visited, the direction of anisotropy is changed according to the anisotropy at the estimation location and a new Kriging matrix is produced. This assumes that the anisotropy is constant between the location being estimated and all near-by data. The anisotropic distance does not "track" through the anisotropy model to calculate the most relevant anisotropic distance. This paper presents an algorithm to calculate the anisotropic distance using a grid of local directions of continuity. Although CPU intensive, the algorithm calculates the true anisotropic distance. This algorithm is integrated into Kriging and examples are provided.
机译:有时候各向异性的单一静止规范不会捕获地质部位的复杂性。在这种情况下,各向异性可以在本地变化。连续性的方向或甚至变化函数的范围可以根据正在建模的域内的区域而变化。有算法允许Kriging具有局部变化的各向异性模型。公共方法是使用来自各向异性模型的局部各向异性的局部方向在每个位置在每个位置生成不同的kriging矩阵。随着每个位置被访问,各向异性的方向根据估计位置处的各向异性而改变,并且产生了新的克里格矩阵。这假设各向异性在估计的位置和近乎数据之间之间是常量。各向异性距离不会“追踪”通过各向异性模型来计算最相关的各向异性距离。本文介绍了使用局部连续性网格的网格计算各向异性距离的算法。虽然CPU密集型,但算法计算真正的各向异性距离。该算法集成到Kriging中,提供了示例。

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