论文部分内容阅读
提出水平层状横向同性地层中频率测深资料的全参数快速迭代反演算法,以便从测量资料中同时确定各个地层的横向、纵向电导率及层界面深度,首先,利用水平层状介质中电磁场并矢Green函数在频率波数域中的解析解和Sommerfeld积分的快速计算技术确定正演响应.然后,利用摄动理论和Fourier逆变换公式,研究建立一套快速求解全参数Frechet导数的有效算法,并利用规范化处理和奇异值分解技术给出迭代反演过程.最后,给出数值试验证明反演理论的有效性以及反演算法的抗噪声能力.
A fast iterative inversion algorithm based on full parameters of frequency sounding data in horizontal stratified isotropic strata is proposed to determine the horizontal and vertical conductivity of each stratum and the depth of layer interface from the measured data. First, The parallel algorithm is used to determine the forward response based on the analytic solution of the Green’s function in the frequency wave number domain and the fast computing technique of Sommerfeld’s integral.An efficient algorithm for quickly solving the Frechet derivative of all parameters is developed by using perturbation theory and Fourier inverse transform formula, The iterative inversion process is given by normalization and singular value decomposition.Finally, numerical experiments are given to prove the validity of the inversion theory and the anti-noise ability of the inversion algorithm.