超高密度电法全四极装置正反演

The simulation and inversion for the full-four-pole array of Ultra-High density resistivity method

超高密度电法是一种新型、高效且实用的电法勘探方法,数据信息量是常规方法的数十倍以上.本文从超高密度电法的基本理论与数据采集方式入手,阐述了超高密度电法的全四极装置观测方式,推导了基于双线性插值、三角形剖分的超高密度电法正问题有限单元法求解方法;提出了超高密度电法的偏导数矩阵混合求解及最小二乘广义线性反演算法.以一个典型地电模型为例,分别采用超高密度全四极装置与五种常规排列装置进行正演模拟并反演成像,反演结果表明,超高密度全四极装置相对于单一装置采集方式具有探测数据量大、抗干扰能力强、数据反演异常结果能够更好的刻画实际地质情况的特点.最后,采用超高密度电法对倾斜板状体地电模型进行正反演,说明了该方法能较好的反映出地下电性的分布,有效提高物探解释的可靠性及勘探的准确性.

The Ultra-High density resistivity method（UHDRM） is a new, efficient and practical electrical prospecting method. The amount of its data information is ten times more than conventional method. This paper firstly focuses on the full four-pole device observing way of the Ultra-High density resistivity method starting from its basic theories and data collection methods. Secondly, it applies the finite element method to solve the forward simulation of Ultra-High density resistivity method based on the bilinear interpolation and triangulation; and it also puts forward the hybrid algorithm of partial derivative matrix and the inversion algorithm of the least square generalized linear for the super density electrical method; Taking the typical geoelectric model as an example, it uses the full four-pole device of Ultra-High density and five conventional arrangement of devices respectively to do the forward simulaition and inversion imaging. The inversion result showes, the Ultra-High density resistivity method has the advantages such as large amount of detecting datas, strong anti-disturbing ability and abnormal results of data inversion could characterize the actual geological conditions better. Lastly, this paper does the modeling and inversion to the tilt plate-shaped body model through the Ultra-High density resistivity method, which shows this method can reflect the underground electrical distribution better, and improve the reliability and the accuracy of the geophysical interpretation and exploration.