SEISMOLOGY AND EGOLOGY ›› 2001, Vol. 23 ›› Issue (2): 314-320.

• Brief Report • Previous Articles     Next Articles

IMPROVED RECONSTRUCTION ALGORITHMS FOR RESISTIVITY TOMOGRAPHY

Liu Guoqiang1, Tao Guo2, Ke Shizhen2, Yang Huizhu1, Jiang Jiya2   

  1. 1. Department of Engineering Mechanics, Tsinghua University, Beijing 100084;
    2. Well Logging Key Laboratory of CNPC, Beijing 102200
  • Received:2001-01-31 Revised:2001-02-28 Online:2001-06-05 Published:2009-10-26

摄动求解Fréchet导数的电阻率层析成像方法

刘国强1, 陶果2, 柯式镇2, 杨慧珠1, 蒋继娅2   

  1. 1. 清华大学工程力学系, 北京100084;
    2. 石油天然气集团公司测井重点实验室, 北京102200
  • 基金资助:
    中国石油天然气集团公司青年创新基金项目(CX200013)资助.

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