An algorithm is proposed for the interpretation of resistivity data that allows the 3D parameters (the boundary in plan view and the depth range) of an anomalous resistivity object in a heterogeneous medium to be determined. The proposed method is based on a vector analysis of the apparent resistivity of soil obtained by a pole–pole survey within the measurement window. In the first stage of the algorithm, in each measurement window, the radius vector is calculated, and as a result, vector images of the main directions of change in the resistivity of the medium are constructed. This allows us to estimate the location of a local anomalous object and to correlate the resistivity of the object with that of the background medium. With a consistent variation in the effective depth of investigation, a set of vector images is formed that characterizes the apparent resistivity distribution in the soil layers. Mathematical analysis of the vector images by using the scalar product allows us to estimate the depth range of the anomalous object. The effectiveness of the proposed algorithm has been proven on synthetic models and in comprehensive investigations of archaeological sites. The proposed method does not allow the true resistivity of an anomalous object to be determined, which is a disadvantage. However, this simple algorithm for processing and analysing shallow electrical prospecting data can be directly used at the preliminary data processing stage during a field survey. First, a pole–pole array can be rapidly operated by a single person; second, the user does not need special knowledge in the field of electrical resistivity data processing. The estimated 3D boundaries of local objects will make it possible to determine the area of interest for further detailed surveying and to justify all the parameters of the measurement technique (distance between electrodes, depth range etc.).

中文翻译：

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用于确定对象3D边界的极-极阵列矢量分析

提出了一种用于解释电阻率数据的算法，该算法允许确定异质介质中异常电阻率对象的3D参数（平面图中的边界和深度范围）。所提出的方法是基于在测量窗口内通过极间勘测获得的土壤表观电阻率的矢量分析。在算法的第一阶段，在每个测量窗口中，计算半径矢量，结果，构造了介质电阻率变化的主要方向的矢量图像。这使我们能够估计局部异常物体的位置，并使物体的电阻率与背景介质的电阻率相关。随着有效调查深度的不断变化，形成一组矢量图像，这些图像表征了土壤层中的视电阻率分布。通过使用标量积对矢量图像进行数学分析，可以估算异常对象的深度范围。该算法的有效性已在综合模型和考古现场的综合调查中得到证明。所提出的方法不能确定异常物体的真实电阻率，这是不利的。但是，这种用于处理和分析浅层电勘探数据的简单算法可以在现场调查期间的初步数据处理阶段直接使用。首先，一个极一极阵列可以由一个人快速操作。第二，用户不需要电阻率数据处理领域的特殊知识。估计的局部对象3D边界将使确定感兴趣的区域以进​​行进一步的详细测量成为可能，并证明测量技术的所有参数（电极之间的距离，深度范围等）是合理的。