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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。
For resistivity tomography, four methods to solve the Fréchet derivative are compared, and the perturbation method is proposed to calculate the derivative so that only one forward wave is calculated for each iteration. The numerical simulation results of cross-well resistivity imaging show the stability and high efficiency of the method. The actual data processing proves the effectiveness of the method.