不同电极阵列联合反演在古墓探测中的应用

电阻率层析成像是一种广泛应用在水文、考古和地质等浅地表勘探领域的地球物理方法。为了增强电阻率层析成像的分辨率、应对复杂的地质问题，本文提出基于雅可比矩阵的不同电极阵列直流电阻率数据的加权联合反演算法，并以温纳和偶极-偶极电极阵列数据为例，在理论模型和古墓探测的野外实例中测试该算法的有效性。结果表明，加权联合反演结果的横向和纵向分辨率都优于单一电极阵列的反演结果，并在实例中缓解“U形”电极阵列的固有缺陷、减少反演模糊性、更好地约束墓室宽度的反演结果。 

Application of Joint Inversion of Different Electrode Arrays in Ancient Mausoleum Detection

Electrical resistivity tomography is a popular geophysical method and has been applied in shallow exploration, involving hydrology, archaeology, and geology, in recent years. To enhance the resolution of electrical resistivity tomography and deal with complex geological settings, we propose the weighted combined inversion of different electrode arrays based on the Jacobian matrix, and then, taking Wenner and dipole-dipole datasets as examples, test its effectiveness on synthetic models and a field case of detecting ancient mausoleum. The results show that the resolution of the weighted combined inversion results is superior to that of a single electrode array in transverse and longitudinal directions, and in the field case, it is demonstrated that the weighted combined inversion algorithm can alleviate the inherent defects of U-shaped electrode array, reduce the ambiguity of inversion, and better constrain the width of the mausoleum.