关键词: 电阻率, 层析成像, Fréchet导数, 摄动法

Abstract: We have developed an improved reconstruction algorithm for resistivity tomography. In this algorithm the perturbation approach is employed for calculating the Fr閏het derivatives. Comparing with other four methods the perturbation approach is more efficient as it needs only one time of forward calculation for each iteration. Theoretical analysis and numerical experiments show that this method has higher stability and computing efficiency. An example of field data processing demonstrates that this method is valid. This method can also be generalized to suit for seismic velocity tomography and electromagnetic wave tomography techniques since it is derived for nonhomogenious Helmholtz equations.

Key words: Resistivity, Tomography, Fréchet derivative, Perturbation method