The Structural Index in gravity and magnetic interpretation: errors, uses and abuses
The Structural Index in gravity and magnetic interpretation: errors, uses and abuses
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DOI：
10.1190/geo2013-0235.1
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发表时间：
2012-11
期刊：
影响因子：
3.3
通讯作者：
A. Reid;J. Thurston
中科院分区：
文献类型：
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作者：
A. Reid;J. Thurston
结构指数（SI）是基于欧拉齐次性的概念，是对标度行为的一种描述。它在位场深度估计中得到了广泛的应用，并且对于具有单一奇点（点、线、薄层断层、片边缘、无限接触）的简单源来说是一个常数。在这些情况下，SI等于简单幂律场随距离衰减的指数。简单的欧拉公式仅对这种简单源和整数SI值严格正确。在更复杂的结构上广泛使用简单的欧拉方法，使用分数SI值可能会产生误导性的结果，因为SI不再是任何给定源的常数。我们研究了最近发表的一个例子，使用任意SI来估计深度的地壳为非洲的基础，并产生误导性的结果。扩展到更复杂的来源，如表格机构或厚的步骤需要几个更广义的方法之一，它承认所有变量…
ABSTRACTThe structural index (SI) is based on the concept of Euler homogeneity, a description of scaling behavior. It has found wide use in potential-field depth estimation and is a constant integer for simple sources with single singularities (points, lines, thin-bed faults, sheet edges, infinite contacts). For these cases, the SI is identical to the index of a simple power-law field fall-off with distance. The simple Euler formulation is only strictly correct for such simple sources and integer SI values. The widespread use of the simple Euler method on more complex structures, using fractional SI values is likely to produce misleading results because the SI is no longer a constant for any given source. We examine a recently published example that used an arbitrary SI to estimate depth to the base of the crust for Africa and produced misleading results. Extension to more complex sources such as tabular bodies or thick steps requires one of several more generalized approaches, which recognize all variabl...