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

摘要： 针对电阻率层析成像,比较了求解Fréchet导数的4种方法,并提出摄动方法计算该导数,使得每一次迭代过程只计算一次正演。井间电阻率成像的数值模拟结果表明了该方法的稳定性和高效性,实际资料的处理证明了方法的有效性。

关键词: 电阻率, 层析成像, Fréchet导数, 摄动法