用数据自适应层析扫描仪定位地下磁源
Localization of magnetic sources underground by a data adaptive tomographic scanner
摘要：
本文提出了一种层析成像方法，通过推导与测量的磁场相关的总功率的表达式，对埋在非平坦地表下的磁异常源进行成像。通过将静态磁场与其源项相关的积分离散化，总功率可以被写为磁场数据集与由单一强度的源元件产生的磁场的理论表达式之间的互相关积的总和。然后，应用Schwarz不等式，导出了地下任意分布磁异常源成像的发生概率函数。层析成像程序包括在扫描的半空间以下的调查区域的单一源，并在计算的发生概率函数在节点的一个规则的网格内的半空间。最后对网格值进行等值线绘制，以选出埋藏磁异常源出现概率高的区域。合成和现场的例子进行了讨论，以测试拟议的层析成像的分辨率。
英文摘要：
A tomography method is proposed to image magnetic anomaly sources buried below a non-flat ground surface, by developing the expression of the total power associated with a measured magnetic field. By discretising the integral relating a static magnetic field to its source terms, the total power can be written as a sum of crosscorrelation products between the magnetic field data set and the theoretical expression of the magnetic field generated by a source element of unitary strength. Then, applying Schwarz's inequality, an occurrence probability function is derived for imaging any distribution of magnetic anomaly sources in the subsurface. The tomographic procedure consists in scanning the half-space below the survey area by the unitary source and in computing the occurrence probability function at the nodes of a regular grid within the half-space. The grid values are finally contoured in order to single out the zones with high probability of occurrence of buried magnetic anomaly sources. Synthetic and field examples are discussed to test the resolution power of the proposed tomography.
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