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全通道电阻率层析成像是采用除去2个供电电极其余接地电极全部采集数据并参与反演计算的一种电阻率成像方法.相比较传统的对称四极测深、斯伦贝谢、偶极-偶极、单极-偶极、单极-单极等勘探方式来说,全通道采集得到的数据可以更好地覆盖目标地质体因此可以更准确地确定介质的电阻率.本文基于有限差分方法求解二维静电场方程和基于伴随方法计算非线性灵敏度矩阵,并利用牛顿共轭梯度反演方法实现全通道电阻率层析成像.理论模型的正演和反演表明了算法的可靠性.与常规四极电阻率法采集方式相比,全通道电阻率法具有更好的分辨率及更灵活的布极方式.在此基础上,着重分析了各种观测装置的有效勘探范围和成像分辨率.本文的研究可以有效指导电阻率法勘探观测装置形式的设计与选取,更好的解决实际工程地质问题.
Full-channel resistivity tomography is a resistivity imaging method that removes all the remaining ground electrodes of the two supply electrodes and takes part in the inversion calculation.Compared with the traditional symmetrical quadrupole, Schlumberger, dipole - dipole, monopole - dipole, monopole - monopole and other exploration methods, the data collected by the entire channel can better cover the target geology and thus can more accurately determine the medium resistivity.This paper based on finite difference Methods Two-dimensional electrostatic field equations were solved and non-linear sensitivity matrix was calculated based on the adjoint method, and all channel resistivity tomography was realized by Newton’s conjugate gradient inversion method. The forward and inversion of the theoretical model showed the reliability of the algorithm. Compared with the traditional method of quadrupole resistivity acquisition, all-channel resistivity method has better resolution and more flexible layout method.Based on this, the effective exploration range and imaging resolution of various observation devices are analyzed The research in this paper can effectively guide the design and selection of the form of resistivity exploration and observation device to better solve the actual engineering geological problems.